From e06d31b4de64055f1b02a4283da8154e570401a4 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Thu, 23 Apr 2026 13:20:46 +0300 Subject: [PATCH 01/18] Using gurobi/python base image --- Dockerfile | 49 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 49 insertions(+) create mode 100644 Dockerfile diff --git a/Dockerfile b/Dockerfile new file mode 100644 index 0000000..6ec10d1 --- /dev/null +++ b/Dockerfile @@ -0,0 +1,49 @@ +# Use the Gurobi Docker image as a base +FROM gurobi/python + +# Install any additional dependencies for dingo +RUN apt-get update && apt-get install -y \ + cmake \ + lp-solve \ + git \ + wget \ + vim \ + bzip2 \ + g++ \ + && rm -rf /var/lib/apt/lists/* + +# Install dependencies +RUN apt-get update && apt-get install -y libsuitesparse-dev +RUN pip install sparseqr \ + Cython \ + cobra \ + kaleido + +# Get PySQR +RUN apt-get install libsuitesparse-dev + +# Install Python dependencies +RUN pip install matplotlib \ + plotly \ + networkx \ + pyoptinterface + +# Get dingo +WORKDIR /opt +RUN git clone https://github.com/GeomScale/dingo.git &&\ + cd dingo &&\ + git submodule update --init + +# Get lp-solve +WORKDIR /opt/dingo + +RUN wget https://sourceforge.net/projects/lpsolve/files/lpsolve/5.5.2.11/lp_solve_5.5.2.11_source.tar.gz &&\ + tar xzvf lp_solve_5.5.2.11_source.tar.gz &&\ + rm lp_solve_5.5.2.11_source.tar.gz + +# Get boost library +RUN wget -O boost_1_76_0.tar.bz2 https://archives.boost.io/release/1.76.0/source/boost_1_76_0.tar.bz2 &&\ + tar xjf boost_1_76_0.tar.bz2 &&\ + rm boost_1_76_0.tar.bz2 + +RUN ["python", "setup.py", "install", "--user"] From 1206dd0695de98e70b18da4f0ee604850b47eeec Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Thu, 23 Apr 2026 10:47:15 +0000 Subject: [PATCH 02/18] Init devcontainer for building codespace --- .devcontainer/devcontainer.json | 17 +++++++++++++++++ .gitignore | 1 - README.md | 26 +++++++++++++++++++++----- 3 files changed, 38 insertions(+), 6 deletions(-) create mode 100644 .devcontainer/devcontainer.json diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json new file mode 100644 index 0000000..8991a4e --- /dev/null +++ b/.devcontainer/devcontainer.json @@ -0,0 +1,17 @@ +{ + "name": "Codespace for dingo tutorial", + "build": { + "dockerfile": "Dockerfile", + "context": ".." + }, + "customizations": { + "vscode": { + "extensions": [ + "ms-python.python", + "ms-toolsai.jupyter" + ] + } + }, + "features": {}, + "postCreateCommand": "bash .devcontainer/setup_codespace.sh" +} \ No newline at end of file diff --git a/.gitignore b/.gitignore index 23c482e..4c49c9c 100644 --- a/.gitignore +++ b/.gitignore @@ -11,5 +11,4 @@ volestipy.egg-info .vscode venv lp_solve_5.5/ -.devcontainer/ .github/dependabot.yml \ No newline at end of file diff --git a/README.md b/README.md index 274f814..2acbfec 100644 --- a/README.md +++ b/README.md @@ -16,18 +16,17 @@ metabolic network, namely Flux Balance Analysis and Flux Variability Analysis. [![Chat](https://badges.gitter.im/geomscale.png)](https://gitter.im/GeomScale/community?utm_source=share-link&utm_medium=link&utm_campaign=share-link) -## Installation +## Installation (on Linux) **Note:** Python version should be 3.8.x. You can check this by running the following command in your terminal: ```bash python --version ``` + If you have a different version of Python installed, you'll need to install it ([start here](https://linuxize.com/post/how-to-install-python-3-8-on-ubuntu-18-04/)) and update-alternatives ([start here](https://linuxhint.com/update_alternatives_ubuntu/)) **Note:** If you are using `GitHub Codespaces`. Start [here](https://docs.github.com/en/codespaces/setting-up-your-project-for-codespaces/adding-a-dev-container-configuration/setting-up-your-python-project-for-codespaces) to set the python version. Once your Python version is `3.8.x` you can start following the below instructions. - - To load the submodules that dingo uses, run ````bash @@ -70,6 +69,18 @@ pip3 install -i https://pypi.gurobi.com gurobipy Then, you will need a [license](https://www.gurobi.com/downloads/end-user-license-agreement-academic/). For more information, we refer to the Gurobi [download center](https://www.gurobi.com/downloads/). +## Using `dingo` as a Docker container + +To use `dingo` as a container, you need to install Docker first. + +Then you can clone the `dingo` repo and build its Docker image: + +``` +git clone https://github.com/GeomScale/dingo.git +cd dingo +docker build -f Dockerfile -t dingo . +``` + @@ -97,8 +108,13 @@ python3 tests/sampling.py gurobi ## Tutorial -You can have a look at our [Google Colab notebook](https://colab.research.google.com/github/GeomScale/dingo/blob/develop/tutorials/dingo_tutorial.ipynb) -on how to use `dingo`. +You may check out `dingo`'s main features through a GitHub codespace. +To do this, you may click [here](https://github.com/codespaces/new?repo=GeomScale/dingo&ref=main) and fire a new codespace +by clicking on the "Create codespace" button. + +This will take a few minutes. + +Once the codespace is ready, ## Documentation From 77e957231c502be77ea1d046a236ada588314ea2 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Thu, 23 Apr 2026 13:52:01 +0300 Subject: [PATCH 03/18] fix path to Dockerfile --- .devcontainer/devcontainer.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json index 8991a4e..b089dfa 100644 --- a/.devcontainer/devcontainer.json +++ b/.devcontainer/devcontainer.json @@ -1,7 +1,7 @@ { "name": "Codespace for dingo tutorial", "build": { - "dockerfile": "Dockerfile", + "dockerfile": "../Dockerfile", "context": ".." }, "customizations": { From 92ce4d16de46f3d17f2000d30a8a64e6aec5ad6d Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Thu, 23 Apr 2026 12:15:50 +0000 Subject: [PATCH 04/18] add files --- doc/logo/geomscale.png | Bin 0 -> 90225 bytes tutorials/figs/fba.png | Bin 0 -> 31562 bytes tutorials/figs/fva.png | Bin 0 -> 117958 bytes tutorials/figs/genome.png | Bin 0 -> 310900 bytes tutorials/figs/genome_zoom.png | Bin 0 -> 58244 bytes tutorials/figs/gk1.png | Bin 0 -> 62214 bytes tutorials/figs/network.png | Bin 0 -> 73940 bytes tutorials/figs/polytope.png | Bin 0 -> 20202 bytes tutorials/figs/rounding.png | Bin 0 -> 383451 bytes tutorials/figs/stoichiometry.png | Bin 0 -> 22225 bytes tutorials/figs/toy_model.png | Bin 0 -> 34631 bytes tutorials/figs/walk_1.png | Bin 0 -> 113757 bytes tutorials/figs/walk_2.png | Bin 0 -> 115292 bytes tutorials/figs/walk_3.png | Bin 0 -> 119710 bytes tutorials/figs/walk_4.png | Bin 0 -> 124642 bytes tutorials/figs/walk_5.png | Bin 0 -> 133022 bytes tutorials/figs/walk_6.png | Bin 0 -> 113808 bytes 17 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 doc/logo/geomscale.png create mode 100644 tutorials/figs/fba.png create mode 100644 tutorials/figs/fva.png create mode 100644 tutorials/figs/genome.png create mode 100644 tutorials/figs/genome_zoom.png create mode 100644 tutorials/figs/gk1.png create mode 100644 tutorials/figs/network.png create mode 100644 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z>XTge?x6nG`U-zm_iTV&p4f+h*lk7>NENd{AAZf*+(W8?FqyGxWALEQa{p=Yj?H%= zwzqbQEf>(d{suu=5_Xkb` Date: Thu, 23 Apr 2026 12:18:41 +0000 Subject: [PATCH 05/18] fixing highs for pyoptinterface --- .devcontainer/devcontainer.json | 3 +- Dockerfile | 2 +- tutorials/dingo_tutorial.ipynb | 388 +++++++------------------------- 3 files changed, 79 insertions(+), 314 deletions(-) diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json index b089dfa..2da1de1 100644 --- a/.devcontainer/devcontainer.json +++ b/.devcontainer/devcontainer.json @@ -8,7 +8,8 @@ "vscode": { "extensions": [ "ms-python.python", - "ms-toolsai.jupyter" + "ms-toolsai.jupyter", + "james-yu.latex-workshop" ] } }, diff --git a/Dockerfile b/Dockerfile index 6ec10d1..090e548 100644 --- a/Dockerfile +++ b/Dockerfile @@ -26,7 +26,7 @@ RUN apt-get install libsuitesparse-dev RUN pip install matplotlib \ plotly \ networkx \ - pyoptinterface + pyoptinterface[highs] # Get dingo WORKDIR /opt diff --git a/tutorials/dingo_tutorial.ipynb b/tutorials/dingo_tutorial.ipynb index c95aa8f..b3d35df 100644 --- a/tutorials/dingo_tutorial.ipynb +++ b/tutorials/dingo_tutorial.ipynb @@ -16,7 +16,7 @@ }, "source": [ "\n", - "## About this Colab notebook " + "## About this notebook " ] }, { @@ -25,43 +25,27 @@ "id": "-IBI5DoLMDCn" }, "source": [ - "The aim of this notebook is to highlight the importance of metabolic networks analysis and the insight it may provide, as well as to demonstrate how to use the `dingo` Python library for the analysis of metabolic networks. \n" + "The aim of this notebook is to highlight the importance of metabolic networks analysis and the insight it may provide, as well as to demonstrate how to use the `dingo` Python library for the analysis of metabolic networks.\n" ] }, { - "cell_type": "markdown", - "metadata": { - "id": "L-pK94S-GPYG" - }, - "source": [ - "For your convenience, we suggest making a copy of the notebook on your Google Drive \n", - "\n", - "(`File > Save a copy in Drive`). \n", - "\n", - "This way you can change things on the notebook and make your own experiments as you like!" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "zUpwu6ue1MEG" - }, + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ - "* The `&> /dev/null` in the end of a command is so you do not see all the messages returned when the command is executed.\n", - "* The `%%capture` flag is so Google Colab does not print the output of the chunk of code in a cell. We have used it in some cases to avoid long warning messages. " + "import dingo" ] }, { - "cell_type": "markdown", - "metadata": { - "id": "8CKAQaoN1ORJ" - }, + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ - "In case an error comes up when running a notebook's command, you may click \n", - "\n", - "`Runtime > Factory reset runtime` \n", - "\n", - "and run the notebook from scratch." + "import os\n", + "import sys\n", + "import numpy as np" ] }, { @@ -101,8 +85,8 @@ "id": "H2UE0ORSS_sQ" }, "source": [ - "\n", - "" + "\n", + "" ] }, { @@ -120,8 +104,8 @@ "id": "ZwJEvcTfY_fC" }, "source": [ - "\n", - "" + "\n", + "" ] }, { @@ -149,7 +133,7 @@ "id": "l7YlhJjSPFRo" }, "source": [ - "" + "" ] }, { @@ -213,7 +197,7 @@ "id": "v8cgveHyHdmq" }, "source": [ - "So, from each metabolic model we can get a stoichiometric matrix ($S$) of the reactions that take place in the organism along with their corresponding constraints. \n", + "So, from each metabolic model we can get a stoichiometric matrix ( $S$ ) of the reactions that take place in the organism along with their corresponding constraints. \n", "As you can guess, $S$ is nothing but a matrix with $m$ metabolites and $n$ reactions!" ] }, @@ -223,13 +207,15 @@ "id": "e4rCPCwghY_6" }, "source": [ - "$S_{m,n} =\n", + "$$\n", + "S_{m,n} =\n", " \\begin{pmatrix}\n", " a_{1,1} & a_{1,2} & \\cdots & a_{1,n} \\\\\n", " a_{2,1} & a_{2,2} & \\cdots & a_{2,n} \\\\\n", " \\vdots & \\vdots & \\ddots & \\vdots \\\\\n", " a_{m,1} & a_{m,2} & \\cdots & a_{m,n}\n", - " \\end{pmatrix}$" + " \\end{pmatrix}\n", + "$$" ] }, { @@ -262,7 +248,7 @@ "source": [ "The solution space for that system is a **polytope**; a geometric object with \"flat\" sides that lives in a large number of dimensions. \n", "\n", - "\n" + "\n" ] }, { @@ -274,7 +260,7 @@ "**Flux Balance Analysis (FBA)** is commonly used to identify an optimal flux distribution by optimizing a linear objective function; e.g the biomass value of the organism. You may see more about FBA [here](https://www.nature.com/articles/nbt.1614/).\n", "\n", "\n", - "\n", + "\n", "\n", "Figure from: [Libourel, I. G., & Shachar-Hill, Y.. Annu. Rev. Plant Biol. 59 (2008)](10.1146/annurev.arplant.58.032806.103822)\n" ] @@ -289,7 +275,7 @@ "\n", "To this end FVA uses a double linear programming problem, a maximization and a subsequent minimization for each reaction.\n", "\n", - "\n", + "\n", "\n", "Figure by a presentation of [Lizbeth Hampton](https://slideplayer.com/slide/13509212/)." ] @@ -326,7 +312,7 @@ "💪 Our method splits sampling in phases and makes use of **rounding** steps; this way it is both efficient and returns high quality samples. \n", "\n", "\n", - "\n", + "\n", " " ] }, @@ -347,12 +333,13 @@ "id": "WX5_VagweffU" }, "source": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "" + "\n", + "\n", + "\n", + "
\n", + "\n", + "\n", + "" ] }, { @@ -433,234 +420,6 @@ "When working on a normal console (terminal) you will have to remove any `!` and `%` characters from the beginning of the following commands; these allow Google Colab to work as a terminal console. " ] }, - { - "cell_type": "markdown", - "metadata": { - "id": "IQL-qaW4McSk" - }, - "source": [ - "### Installation" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "dqa089jFDXaH" - }, - "source": [ - "Install the dependencies for PySPQR library; for Debian/Ubuntu Linux, run" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "0eBtFIaIzZ66" - }, - "outputs": [], - "source": [ - "!apt-get install libsuitesparse-dev &> /dev/null\n", - "%pip install sparseqr &> /dev/null\n", - "%pip install Cython &> /dev/null\n", - "%pip install cobra &> /dev/null\n", - "%pip install kaleido &> /dev/null\n", - "%pip install pyoptinterface[highs] &> /dev/null" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "yYqOnx7_4ZRN" - }, - "source": [ - "Get the `dingo` repo." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "A6Mcqrqt3_Sa", - "outputId": "e340135f-48c2-4e34-87e6-fa0c54e3024e" - }, - "outputs": [], - "source": [ - "!git clone https://github.com/GeomScale/dingo.git" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "qePKvNyVFrHG" - }, - "source": [ - "To load the submodules that `dingo` uses, run:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "n-zpDmAy9V-8", - "outputId": "97e759a1-99ed-4a5b-8953-6113d3b5c315" - }, - "outputs": [], - "source": [ - "%cd dingo/\n", - "!git submodule update --init" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "jb6XxVcbF0h3" - }, - "source": [ - "Then, download and unzip the `boost` library:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "vkjI-YD69dkw" - }, - "outputs": [], - "source": [ - "!wget -O boost_1_76_0.tar.bz2 https://archives.boost.io/release/1.76.0/source/boost_1_76_0.tar.bz2 &> /dev/null\n", - "!tar xjf boost_1_76_0.tar.bz2 &> /dev/null\n", - "!rm boost_1_76_0.tar.bz2 &> /dev/null" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "RK_xgnsYAfOr" - }, - "source": [ - "Install `dingo`" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Gu9E7fidgjnW" - }, - "source": [ - "The following command will install `dingo` and it will take a while to compile. \n", - "\n", - "Remember that about 4GB of RAM are required to do so. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "hMNc6tbiwhG1", - "outputId": "59572b1f-f2f2-4579-ce74-e43382864040" - }, - "outputs": [], - "source": [ - "!python setup.py install --user &> /dev/null\n", - "print('dingo is ready to go!')" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ZJ3AW6QTMcSn" - }, - "source": [ - "### Run tests" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "PLCBCsYiGEXz" - }, - "source": [ - "We have made some tests for you so you can make sure `dingo` has been installed properly.\n", - "\n", - "You may have a look at these [test files](https://github.com/GeomScale/dingo/tree/develop/tests) so you can run `dingo` from your terminal." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "f7q8A5TDxtOS" - }, - "outputs": [], - "source": [ - "%%capture\n", - "!python -m unittest discover tests \"*.py\"" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "rWJ00dGySfol" - }, - "source": [ - "If you look at the output of that command, you should see that every test passed.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "iwZEvB6tC6jc" - }, - "source": [ - "--------------------------------------------------------------------------" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "rLfOQgaQuULC" - }, - "source": [ - "The following command is to make Colab have access to the `dingo` library that was just compiled. \n", - "There will probably be **no need for you to do this**. \n", - "In case Python does not find `dingo`, just check the \n", - "semifinal line of the compilation step, in this case:\n", - "\n", - "`Writing /root/.local/lib/python3.7/site-packages/dingo-0.1.0.egg-info`\n", - "\n", - "This is the path where `dingo` was compiled. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "ojsTmKVZYocZ" - }, - "outputs": [], - "source": [ - "import sys\n", - "_ = (sys.path.append(\"/root/.local/lib/python3.8/site-packages/\"))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Ua5lGNc8C8QE" - }, - "source": [ - "-------------------------------------------------------------------------------" - ] - }, { "cell_type": "markdown", "metadata": { @@ -679,31 +438,6 @@ "### ..to manipulate your model" ] }, - { - "cell_type": "markdown", - "metadata": { - "id": "ljInPZvPMcSp" - }, - "source": [ - "Get the path to the `dingo` directory. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "S7ieYXqfMcSq", - "outputId": "d9ec3348-6c5a-46b5-b815-15238625b216" - }, - "outputs": [], - "source": [ - "import os\n", - "import numpy as np" - ] - }, { "cell_type": "markdown", "metadata": { @@ -742,7 +476,7 @@ }, "outputs": [], "source": [ - "model = MetabolicNetwork.from_json('ext_data/e_coli_core.json')" + "model = MetabolicNetwork.from_json('../ext_data/e_coli_core.json')" ] }, { @@ -904,6 +638,41 @@ "model.reactions[24]" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All the above, you may access them by loading your model as a `cobra.Model`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import cobra\n", + "cobra_model = cobra.io.read_sbml_model(\"../ext_data/e_coli_core.xml\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Assuming the objective function is a single reaction of the reactions on the model:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "obj_index = [r.objective_coefficient for r in cobra_model.reactions].index(True)\n", + "objective = cobra_model.reactions[obj_index].id\n", + "objective, obj_index" + ] + }, { "cell_type": "markdown", "metadata": { @@ -927,7 +696,7 @@ }, "outputs": [], "source": [ - "# We import numpy and set the threshold parameter to max to enable the display of all the elements of the array\n", + "# Set the threshold parameter to max to enable the display of all the elements of the array\n", "np.set_printoptions(threshold=sys.maxsize)\n", "model.S[:,24]" ] @@ -1584,7 +1353,7 @@ "In line with the findings of Renz et al. (2020), flux sampling in the metabolic model built from the macrophage model and the VBOF using `dingo` indicates **guanylate kinase (GK1)** as a potential antiviral target. \n", "Flux sampling was perfored first with no objective function for the virus and then after maximizing the VBOF built by Renz et al. (2020). \n", "\n", - "\n", + "\n", "\n" ] }, @@ -1653,7 +1422,7 @@ "\n", "
\n", "\n", - "" + "" ] } ], @@ -1663,7 +1432,7 @@ "toc_visible": true }, "kernelspec": { - "display_name": "Python 3.10.6 64-bit", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1677,12 +1446,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.6" - }, - "vscode": { - "interpreter": { - "hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a" - } + "version": "3.10.19" } }, "nbformat": 4, From 206f33bd821afa18904f3afdef2850cabe701a0a Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Thu, 23 Apr 2026 15:42:09 +0000 Subject: [PATCH 06/18] sampling using Dockerfile-oriented codespace --- .devcontainer/devcontainer.json | 3 +- README.md | 10 +- tutorials/dingo_tutorial.ipynb | 613 +++++++++++++++++++++++--------- 3 files changed, 463 insertions(+), 163 deletions(-) diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json index 2da1de1..cf45cdc 100644 --- a/.devcontainer/devcontainer.json +++ b/.devcontainer/devcontainer.json @@ -13,6 +13,5 @@ ] } }, - "features": {}, - "postCreateCommand": "bash .devcontainer/setup_codespace.sh" + "features": {} } \ No newline at end of file diff --git a/README.md b/README.md index 2acbfec..b0a7635 100644 --- a/README.md +++ b/README.md @@ -71,7 +71,8 @@ Then, you will need a [license](https://www.gurobi.com/downloads/end-user-licens ## Using `dingo` as a Docker container -To use `dingo` as a container, you need to install Docker first. +To use `dingo` as a container, you need to [install Docker](https://docs.docker.com/engine/install/), +or [Docker desktop](https://docs.docker.com/desktop/), first. Then you can clone the `dingo` repo and build its Docker image: @@ -81,7 +82,11 @@ cd dingo docker build -f Dockerfile -t dingo . ``` ++Once the image is built, you may run: +``` +docker run --rm -it -v :/data dingo +``` ## Unit tests @@ -114,7 +119,8 @@ by clicking on the "Create codespace" button. This will take a few minutes. -Once the codespace is ready, +Once the codespace is ready, you may try to follow the [`dingo_tutorial`](./tutorials/dingo_tutorial.ipynb) +Jupyter notebook. ## Documentation diff --git a/tutorials/dingo_tutorial.ipynb b/tutorials/dingo_tutorial.ipynb index b3d35df..7491fa0 100644 --- a/tutorials/dingo_tutorial.ipynb +++ b/tutorials/dingo_tutorial.ipynb @@ -29,23 +29,14 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import dingo" - ] - }, - { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "import os\n", - "import sys\n", - "import numpy as np" + "To install `dingo` locally, please follow instructions [here](../README.md#installation-on-linux).\n", + "\n", + "Currently, `dingo` is available on Linux systems. \n", + "\n", + "If you use MacOS or Windows, you may run `dingo` as a container, following instructions [here](../README.md#using-dingo-as-a-docker-container)." ] }, { @@ -363,70 +354,31 @@ { "cell_type": "markdown", "metadata": { - "id": "PqWGwdr9Cs-H" - }, - "source": [ - "## Get and install *dingo*" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "164yhNEXMcSi" + "id": "2dtcobmYQOWp" }, "source": [ - "\n", - "### Requirements" + "## Usingo `dingo`.." ] }, { "cell_type": "markdown", - "metadata": { - "id": "BpZ3fcqKMcSj" - }, + "metadata": {}, "source": [ - "Mandatory:\n", - "* a Unix-like environment, e.g Linux, MacOS etc.\n", - "* a computer machine with at least 4GB of RAM; `dingo` requires about 4GB to compile \n", - "\n", - "Optional:\n", - "* for better performance, you may use `dingo` with the [`gurobi`](https://www.gurobi.com) solver. To do so, a license is required (free for academic purposes)." + "Let's import `dingo` and the rest of the Python libraries to be used during this tutorial:" ] }, { - "cell_type": "markdown", - "metadata": { - "id": "tTvoGY3DMcSj" - }, + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], "source": [ - "You can get the `gurobipy` Python interface of the `gurobi` solver by running:\n", - "\n", - "`\n", - "pip3 install -i https://pypi.gurobi.com gurobipy\n", - "`\n", - "\n", - "and download an academic license [from here](https://www.gurobi.com/downloads/end-user-license-agreement-academic/). \n", + "import os\n", + "import sys\n", + "import cobra\n", + "import dingo\n", "\n", - "For more information on how to get `gurobi` you may also have a look [here](https://support.gurobi.com/hc/en-us/articles/360044290292-How-do-I-install-Gurobi-for-Python-)." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "UkdSbnJQwJSm" - }, - "source": [ - "> **Remember!**
\n", - "When working on a normal console (terminal) you will have to remove any `!` and `%` characters from the beginning of the following commands; these allow Google Colab to work as a terminal console. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "2dtcobmYQOWp" - }, - "source": [ - "## Run `dingo`.." + "import numpy as np" ] }, { @@ -438,45 +390,26 @@ "### ..to manipulate your model" ] }, - { - "cell_type": "markdown", - "metadata": { - "id": "AiFwL4lRugVC" - }, - "source": [ - "And import the `MetabolicNetwork` class of `dingo`! " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "FahzUpQFommK" - }, - "outputs": [], - "source": [ - "from dingo import MetabolicNetwork" - ] - }, { "cell_type": "markdown", "metadata": { "id": "AzFd-qTWryBW" }, "source": [ - "Now, you can load a metabolic model. \n", - "Currently, `dingo` may get either a `.json` or a '.mat` model format." + "To load a metabolic model on `dingo`, we use the `MetabolicNetwork` class.\n", + "\n", + "Currently, `dingo` may get a model either in `.xml`, `.json` or `.mat` format." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "id": "NNSJM_Z3McSs" }, "outputs": [], "source": [ - "model = MetabolicNetwork.from_json('../ext_data/e_coli_core.json')" + "model = dingo.MetabolicNetwork.from_json('../ext_data/e_coli_core.json')" ] }, { @@ -500,7 +433,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -508,7 +441,16 @@ "id": "_1r63O_AXzTO", "outputId": "d54ee08c-7aae-4d4b-9aa7-8090bcdd2fb5" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of metabolites in my model: 72\n", + "Here are the first 10 metabolites in your model: ['glc__D_e', 'gln__L_c', 'gln__L_e', 'glu__L_c', 'glu__L_e', 'glx_c', 'h2o_c', 'h2o_e', 'h_c']\n" + ] + } + ], "source": [ "print('Number of metabolites in my model: ', len(model.metabolites))\n", "print('Here are the first 10 metabolites in your model: ', model.metabolites[:9])" @@ -526,7 +468,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -534,7 +476,16 @@ "id": "oEYN_hbeXjpy", "outputId": "a8dab6dd-9d69-4e35-d98c-3278b55b7f65" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of reactions in my model: 95\n", + "Here are the first 10 reactions in your model: ['PFK', 'PFL', 'PGI', 'PGK', 'PGL', 'ACALD', 'AKGt2r', 'PGM', 'PIt2r']\n" + ] + } + ], "source": [ "print('Number of reactions in my model: ', len(model.reactions))\n", "print('Here are the first 10 reactions in your model: ', model.reactions[:9])" @@ -551,7 +502,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -559,7 +510,24 @@ "id": "DurJhomTPzO1", "outputId": "0d4f107a-7bdb-48ff-e8f8-ee6909476ac2" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0., 0., 0., ..., 0., 0., 0.],\n", + " [ 0., 0., 0., ..., 0., 0., 0.],\n", + " [ 0., 0., 0., ..., 0., 0., 0.],\n", + " ...,\n", + " [ 0., 0., 0., ..., 0., 0., 0.],\n", + " [ 0., 0., 0., ..., 0., 0., 0.],\n", + " [ 0., 0., -1., ..., 0., 0., 0.]], shape=(72, 95))" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.S" ] @@ -575,7 +543,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -583,7 +551,18 @@ "id": "Tl52cmuaenlY", "outputId": "256123a8-4ef3-4c3d-a7e3-3298e3066535" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(72, 95)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.S.shape" ] @@ -599,7 +578,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -607,7 +586,23 @@ "id": "hpnbfsBVeCFK", "outputId": "c7bf618f-eb30-4226-986e-752e15caa544" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 1., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.objective_function" ] @@ -624,7 +619,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -633,7 +628,18 @@ "id": "-04jUh1veQNt", "outputId": "054be7c9-8378-4609-98e8-28e0cac299ef" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "'BIOMASS_Ecoli_core_w_GAM'" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.reactions[24]" ] @@ -647,11 +653,10 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ - "import cobra\n", "cobra_model = cobra.io.read_sbml_model(\"../ext_data/e_coli_core.xml\")" ] }, @@ -664,9 +669,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "('BIOMASS_Ecoli_core_w_GAM', 24)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "obj_index = [r.objective_coefficient for r in cobra_model.reactions].index(True)\n", "objective = cobra_model.reactions[obj_index].id\n", @@ -686,7 +702,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -694,7 +710,29 @@ "id": "1c93OKZ7eUPX", "outputId": "19169c24-22ae-4e5b-b3c9-054ca0270dd5" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , -0.2557, 0. , -4.9414, 0. , 0. ,\n", + " -59.81 , 0. , 59.81 , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , -3.547 , 3.547 , 13.0279,\n", + " -13.0279, 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , -1.496 , -1.7867, -0.5191, 0. , 59.81 ,\n", + " 0. , 0. , 0. , -2.8328, 0. , 0. ,\n", + " 0. , -0.8977, 0. , 0. , 0. , 0. ,\n", + " 0. , -3.7478, 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 59.81 , 4.1182, 0. , 0. ,\n", + " -59.81 , 0. , 0. , 0. , 3.7478, 0. ,\n", + " -0.361 , 0. , 0. , -0.0709, 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , -0.129 , -0.205 ])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Set the threshold parameter to max to enable the display of all the elements of the array\n", "np.set_printoptions(threshold=sys.maxsize)\n", @@ -712,7 +750,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -720,7 +758,18 @@ "id": "wFTLZewLiAH-", "outputId": "eb1b0b32-e025-426d-f59d-670cb416d8bc" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(72,)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.S[:,24].shape" ] @@ -736,7 +785,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -744,7 +793,18 @@ "id": "EjD7uBgfhYu0", "outputId": "ada5cb8b-0aa5-4292-a177-274b8f150b79" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "72" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "len(model.metabolites)" ] @@ -778,7 +838,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -786,7 +846,21 @@ "id": "NuVrc64WYJbJ", "outputId": "44747cd1-43f8-4dc0-8ebb-321218f08714" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "{'opt_percentage': 100,\n", + " 'distribution': 'uniform',\n", + " 'nullspace_method': 'sparseQR',\n", + " 'solver': None}" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.parameters" ] @@ -813,13 +887,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "id": "kWFbcJumShgh" }, "outputs": [], "source": [ - "%%capture\n", "fba_output = model.fba()" ] }, @@ -838,7 +911,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -846,16 +919,46 @@ "id": "Nxk0qI0ISmOB", "outputId": "3bdaaffe-b7b2-464a-ec83-ad3a086c76d4" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "This is the optimal flux vector according to the biomass objective function: \n", + " [ 7.47738196 0. 4.86086115 -16.02352614 4.95998494\n", + " -0. -0. -14.71613957 3.21489505 -0.\n", + " -0. -0. 2.50430947 6.00724958 6.00724958\n", + " 8.39 0. -0. 0. -0.\n", + " 5.06437566 45.51400977 -0. 1.75817744 0.87392151\n", + " -0. -22.80983331 2.67848185 6.00724958 -2.28150309\n", + " -0. 43.59898531 -0. 14.71613957 0.\n", + " -0. 5.06437566 -5.06437566 1.49698376 0.\n", + " 1.49698376 1.18149809 7.47738196 0. 0.\n", + " 0. 22.80983331 0. -0. 0.\n", + " 0. -10. 0. 0. 17.53086543\n", + " 29.17582714 0. 0. -4.76531919 -21.79949266\n", + " -3.21489505 0. 0. 7.47738196 0.\n", + " -0. 0. 0. -0. 5.06437566\n", + " -0. 4.95998494 16.02352614 10. 0.22346173\n", + " -0. -4.54185746 0. 0. -0.\n", + " 4.95998494 -29.17582714 6.00724958 -0. -0.\n", + " 0. -0. 5.06437566 0. 0.\n", + " 38.53460965 0. 4.76531919 21.79949266 9.2825326 ]\n", + "----------\n", + "This is the value of that optimal solution of the objective function: \n", + " 0.8739215069684304\n" + ] + } + ], "source": [ "np.set_printoptions(threshold=None)\n", "\n", "max_biomass_flux_vector = fba_output[0]\n", - "max_biomass_objective = fba_output[1]\n", + "max_biomass_objective = fba_output[1]\n", "\n", - "print('This is the optimal flux vector according to the biomass objective function: ', max_biomass_flux_vector)\n", + "print('This is the optimal flux vector according to the biomass objective function: \\n', max_biomass_flux_vector)\n", "print('----------')\n", - "print('This is the value of that optimal solution of the objective function: ', max_biomass_objective)" + "print('This is the value of that optimal solution of the objective function: \\n', max_biomass_objective)" ] }, { @@ -877,8 +980,8 @@ }, "outputs": [], "source": [ - "n = model.num_of_reactions()\n", - "obj_fun = np.zeros(n)\n", + "n = model.num_of_reactions()\n", + "obj_fun = np.zeros(n)\n", "obj_fun[0] = 1" ] }, @@ -893,7 +996,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": { "id": "jrASE_SS2Nst" }, @@ -913,7 +1016,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -921,7 +1024,23 @@ "id": "Lf8jpTrU1dEr", "outputId": "14e6bd8c-4778-4f1b-9ef2-516bc4a9c9e3" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "array([1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.objective_function" ] @@ -946,19 +1065,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": { "id": "f11M0AClnfhZ" }, "outputs": [], "source": [ - "%%capture\n", "fba_output_new_obj = model.fba()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -966,13 +1084,34 @@ "id": "80op83f4noZK", "outputId": "41729b2b-8a84-47f6-82f6-d218fa6040a4" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "This is the optimal flux vector according to my objective function:\n", + " [176.61 -0. 10. -20. -0. -0. -0. -20. -0. -0.\n", + " -0. -0. 0. 20. 20. 8.39 0. -0. 0. -0.\n", + " 20. 135. -0. 10. 0. -0. -60. -0. 20. -0.\n", + " -0. 120. -0. 20. 0. -0. 20. -20. -0. 0.\n", + " -0. -0. 10. 0. 0. 0. 60. 0. 0. 0.\n", + " 0. -10. 0. 0. -0. 60. 0. 0. -0. -60.\n", + " -0. 0. 0. 10. 166.61 -0. 0. 0. -0. 20.\n", + " -0. -0. 20. 10. 0. -0. -0. -0. 0. -0.\n", + " 0. -60. 20. -0. -0. 0. -0. 20. -0. 0.\n", + " 100. 20. -0. 60. 20. ]\n", + "----------\n", + "This is the value of that optimal solution of the new objective function:\n", + " 176.61\n" + ] + } + ], "source": [ "max_biomass_flux_vector_new_obj = fba_output_new_obj[0]\n", "max_biomass_objective_new_obj = fba_output_new_obj[1]\n", - "print('This is the optimal flux vector according to my objective function: ', max_biomass_flux_vector_new_obj)\n", + "print('This is the optimal flux vector according to my objective function:\\n', max_biomass_flux_vector_new_obj)\n", "print('----------')\n", - "print('This is the value of that optimal solution of the new objective function: ', max_biomass_objective_new_obj)" + "print('This is the value of that optimal solution of the new objective function:\\n', max_biomass_objective_new_obj)" ] }, { @@ -981,7 +1120,7 @@ "id": "b1ZAlpHY6Ifm" }, "source": [ - "### ..to find the minimum and maximum flux for each reaction (FVA)" + "### .. to find the minimum and maximum flux for each reaction (FVA)" ] }, { @@ -995,7 +1134,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1004,7 +1143,18 @@ "id": "OaxWPyakpriX", "outputId": "e673ebb2-a8dc-44de-8b71-a44606100610" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "'PFK'" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model.reactions[0]" ] @@ -1024,13 +1174,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": { "id": "AK5OdFU4yZZL" }, "outputs": [], "source": [ - "%%capture\n", "# Run FVA\n", "fva_output = model.fva()\n", "\n", @@ -1060,9 +1209,8 @@ }, "outputs": [], "source": [ - "%%capture\n", "# Build new instance of the model\n", - "model = MetabolicNetwork.from_json('ext_data/e_coli_core.json')\n", + "model = dingo.MetabolicNetwork.from_json('../ext_data/e_coli_core.json')\n", "\n", "# Run FVA\n", "fva_output = model.fva()\n", @@ -1097,13 +1245,13 @@ }, "outputs": [], "source": [ - "print('This is the flux vector with the minimum values of each flux when the PFK reaction gets maximum: ', pfk_min_fluxes)\n", - "print('This is the flux vector with the minimum values of each flux when the biomass function gets maximum: ', min_fluxes)\n", + "print('This is the flux vector with the minimum values of each flux when the PFK reaction gets maximum:\\n', pfk_min_fluxes)\n", + "print('This is the flux vector with the minimum values of each flux when the biomass function gets maximum:\\n', min_fluxes)\n", "\n", "print('----------')\n", "\n", - "print('This is the flux vector with the maximum values of each flux when the PFK reaction gets maximum: ', pfk_max_fluxes)\n", - "print('This is the flux vector with the maximum values of each flux when the biomass function gets maximum: ', max_fluxes)" + "print('This is the flux vector with the maximum values of each flux when the PFK reaction gets maximum:\\n', pfk_max_fluxes)\n", + "print('This is the flux vector with the maximum values of each flux when the biomass function gets maximum:\\n', max_fluxes)" ] }, { @@ -1145,8 +1293,8 @@ }, "outputs": [], "source": [ - "from dingo import PolytopeSampler\n", - "sampler = PolytopeSampler(model)" + "model = dingo.MetabolicNetwork.from_sbml('../ext_data/e_coli_core.xml')\n", + "sampler = dingo.PolytopeSampler(model)" ] }, { @@ -1164,25 +1312,64 @@ "* the **Potential Scale Reduction Factor (PSRF)** of each marginal flux to get an upper bound equal to 1.1 (by default that is set as `False`)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Applying the `generate_steady_states()` directly, will sample after optimizing for the objective function of the model; i.e. sampling on the subspace where the objective function, e.g. the biomass function, gets its optimal value. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "optimal_steady_states = sampler.generate_steady_states(ess = 1000, psrf = True)" + ] + }, { "cell_type": "markdown", "metadata": { "id": "xo0P1z7BMcTA" }, "source": [ - "So, let's sample!" + "Yet, one may prefer studying suboptimal cases:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "id": "0y_TOtcGUmAW" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "phase 1: number of correlated samples = 500, effective sample size = 6, ratio of the maximum singilar value over the minimum singular value = 1105.98\n", + "phase 2: number of correlated samples = 500, effective sample size = 132, ratio of the maximum singilar value over the minimum singular value = 2.13238\n", + "phase 3: number of correlated samples = 2400, effective sample size = 940\n", + "[4]total ess 1078: number of correlated samples = 3400\n", + "\n", + "\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[4]maximum marginal PSRF: 1.00991\n" + ] + } + ], "source": [ - "%%capture\n", - "steady_states = sampler.generate_steady_states(ess = 1000, psrf = True) # this took a little bit more than 5 minutes" + "model = dingo.MetabolicNetwork.from_sbml('../ext_data/e_coli_core.xml')\n", + "sampler = dingo.PolytopeSampler(model)\n", + "# Set percentage of biomass as minimum value the objective function may get\n", + "sampler.set_opt_percentage(10)\n", + "suboptimal_steady_states = sampler.generate_steady_states(ess=1000, psrf=True)" ] }, { @@ -1207,7 +1394,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1215,7 +1402,16 @@ "id": "5F1MNZZHZCU0", "outputId": "356fe326-1342-4127-fc56-00afede234b9" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of reactions in my model: 95\n", + "Number of flux distributions sampled: 95\n" + ] + } + ], "source": [ "print('Number of reactions in my model: ', len(model.reactions))\n", "print('Number of flux distributions sampled: ', steady_states.shape[0])" @@ -1245,6 +1441,62 @@ "print('Number of flux values of the flux distributions returned: ', steady_states.shape[1])" ] }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Reaction identifier\n", + " BIOMASS_Ecoli_core_w_GAM\n", + "
Name\n", + " Biomass Objective Function with GAM\n", + "
Memory address0x7c5cc9168e80
Stoichiometry\n", + "

\n", + " 1.496 3pg_c + 3.7478 accoa_c + 59.81 atp_c + 0.361 e4p_c + 0.0709 f6p_c + 0.129 g3p_c + 0.205 g6p_c + 0.2557 gln__L_c + 4.9414 glu__L_c + 59.81 h2o_c + 3.547 nad_c + 13.0279 nadph_c + 1.7867 oaa_c...\n", + "

\n", + "

\n", + " 1.496 3-Phospho-D-glycerate + 3.7478 Acetyl-CoA + 59.81 ATP C10H12N5O13P3 + 0.361 D-Erythrose 4-phosphate + 0.0709 D-Fructose 6-phosphate + 0.129 Glyceraldehyde 3-phosphate + 0.205 D-Glucose...\n", + "

\n", + "
GPR\n", + " \n", + "
Lower bound0.0
Upper bound1000.0
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cobra_model.reactions.BIOMASS_Ecoli_core_w_GAM" + ] + }, { "cell_type": "markdown", "metadata": { @@ -1253,12 +1505,12 @@ "source": [ "Let us now assume that we are interested in a certain reaction of our model, for example the last reaction of the glycolysis which is catalyzed by the Pyruvate kinase (PYK) enzyme. \n", "\n", - "We first need to look in the `model.reactions` list and find the index of the `PYK` reaction; the enzyme is usually the name of reaction. " + "We first need to look in the `model.reactions` list and find the index of the `EX_o2_e` reaction; the enzyme is usually the name of reaction. " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1266,9 +1518,21 @@ "id": "-im2Cgq5b3oS", "outputId": "f0f9948a-99ef-46de-d05a-e21e49164011" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "24" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "model.reactions.index('PYK')" + "# model.reactions.index('EX_o2_e')\n", + "model.reactions.index('BIOMASS_Ecoli_core_w_GAM')" ] }, { @@ -1282,7 +1546,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(np.float64(0.08740727977552475), np.float64(0.40033963822415486))" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "min(steady_states[24]), max(steady_states[24])" + ] + }, + { + "cell_type": "code", + "execution_count": 53, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1291,7 +1575,18 @@ "id": "-n2HKr82yKyh", "outputId": "2d924fe9-975b-482c-9da7-016c002de61c" }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from dingo import plot_histogram\n", "\n", From fef3b596ae8a386a5bc4590ed77775b4d930ff98 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Thu, 23 Apr 2026 23:58:18 +0000 Subject: [PATCH 07/18] sampling suboptimal - change examples --- Dockerfile | 4 + README.md | 115 +++- .../Abiotrophia_defectiva_ATCC_49176.xml.gz | Bin 0 -> 114333 bytes tutorials/dingo_tutorial.ipynb | 563 ++++++++++++++---- 4 files changed, 532 insertions(+), 150 deletions(-) create mode 100644 ext_data/Abiotrophia_defectiva_ATCC_49176.xml.gz diff --git a/Dockerfile b/Dockerfile index 090e548..76dccb5 100644 --- a/Dockerfile +++ b/Dockerfile @@ -46,4 +46,8 @@ RUN wget -O boost_1_76_0.tar.bz2 https://archives.boost.io/release/1.76.0/source tar xjf boost_1_76_0.tar.bz2 &&\ rm boost_1_76_0.tar.bz2 +# Set environmental variable gurobi license path +ENV GRB_LICENSE_FILE=/opt/gurobi/gurobi.lic + +# Install dingo RUN ["python", "setup.py", "install", "--user"] diff --git a/README.md b/README.md index b0a7635..abc07fd 100644 --- a/README.md +++ b/README.md @@ -16,38 +16,69 @@ metabolic network, namely Flux Balance Analysis and Flux Variability Analysis. [![Chat](https://badges.gitter.im/geomscale.png)](https://gitter.im/GeomScale/community?utm_source=share-link&utm_medium=link&utm_campaign=share-link) -## Installation (on Linux) +## Installation + +### LP solver (optional, probably better performance) + +`dingo` makes use of [`pyoptinterface`](https://metab0t.github.io/PyOptInterface/) to interface with a range of linear programming solvers. + +The default solver is [`highs`](https://highs.dev/#get-started). + +However, one may switch to other solvers that `pyoptinterface` supports, for example the commonly used [`gurobi`](https://www.gurobi.com/). +Yet, in that case a Gurobi license is required. + +> **Get a Gurobi license** +> +> If you are affiliated in an academic insitute, you can generate a **free academic license**. +> +> First, register and/or login to your [Gurobi account](https://portal.gurobi.com/iam/login/), and +> +> * if you are about to use `dingo` as a container, get a [**Web License Service (WLS) academic license**](https://support.gurobi.com/hc/en-us/articles/13210193318033-What-is-an-Academic-WLS-license) +> * otherwise, you should go for the typical [**free academic license**](https://www.gurobi.com/academics) +> +> 🔴 In both cases, make sure you are connected to the internet of an academic institution. + + +### Installation (on Linux) **Note:** Python version should be 3.8.x. You can check this by running the following command in your terminal: ```bash python --version ``` -If you have a different version of Python installed, you'll need to install it ([start here](https://linuxize.com/post/how-to-install-python-3-8-on-ubuntu-18-04/)) and update-alternatives ([start here](https://linuxhint.com/update_alternatives_ubuntu/)) +If you have a different version of Python installed, you'll need to install it ([start here](https://linuxize.com/post/how-to-install-python-3-8-on-ubuntu-18-04/)) +and update-alternatives ([start here](https://linuxhint.com/update_alternatives_ubuntu/)). + +Clone the `dingo` repo by + +``` +git clone https://github.com/GeomScale/dingo.git +``` -**Note:** If you are using `GitHub Codespaces`. Start [here](https://docs.github.com/en/codespaces/setting-up-your-project-for-codespaces/adding-a-dev-container-configuration/setting-up-your-python-project-for-codespaces) to set the python version. Once your Python version is `3.8.x` you can start following the below instructions. -To load the submodules that dingo uses, run +and load the submodules that `dingo` uses: ````bash +cd dingo git submodule update --init ```` -You will need to download and unzip the Boost library: +You will then need to download and unzip the [Boost C++](https://www.boost.org/) library: ``` wget -O boost_1_76_0.tar.bz2 https://archives.boost.io/release/1.76.0/source/boost_1_76_0.tar.bz2 tar xjf boost_1_76_0.tar.bz2 rm boost_1_76_0.tar.bz2 ``` -You will also need to download and unzip the lpsolve library: +You will also need to download and unzip the [`lpsolve`](https://lpsolve.sourceforge.net/5.5/) library: ``` wget https://sourceforge.net/projects/lpsolve/files/lpsolve/5.5.2.11/lp_solve_5.5.2.11_source.tar.gz tar xzvf lp_solve_5.5.2.11_source.tar.gz rm lp_solve_5.5.2.11_source.tar.gz ``` -Then, you need to install the dependencies for the PySPQR library; for Debian/Ubuntu Linux, run +Then, you need to install the dependencies for the [PySPQR](https://github.com/yig/PySPQR) library; +for this, you will most likely need `sudo` rights: ```bash sudo apt-get update -y @@ -56,18 +87,25 @@ sudo apt-get install -y libsuitesparse-dev To install the Python dependencies, `dingo` is using [Poetry](https://python-poetry.org/), ``` -curl -sSL https://install.python-poetry.org | python3 - --version 1.3.2 +curl -sSL https://install.python-poetry.org | python - --version 1.3.2 poetry shell poetry install ``` -You can install the [Gurobi solver](https://www.gurobi.com/) for faster linear programming optimization. Run +otherwise, you may try: ``` -pip3 install -i https://pypi.gurobi.com gurobipy +python setup.py install --user ``` -Then, you will need a [license](https://www.gurobi.com/downloads/end-user-license-agreement-academic/). For more information, we refer to the Gurobi [download center](https://www.gurobi.com/downloads/). + +Last, in case you are about to use Gurobi, remember to install the Python interface of Gurobi, [`gurobipy`](https://www.gurobi.com/resources/faq/gurobipy): + +``` +pip install -i https://pypi.gurobi.com gurobipy +``` + + ## Using `dingo` as a Docker container @@ -82,33 +120,53 @@ cd dingo docker build -f Dockerfile -t dingo . ``` -+Once the image is built, you may run: +Once the image is built, you may run: ``` docker run --rm -it -v :/data dingo ``` +or, if you are using Gurobi, you may run: + +``` +docker run --rm -it -v :/opt/gurobi/gurobi.lic -v :/data dingo +``` + +> **Remember** for this use need the WLS Gurobi license. +> +> This would look something like this: +> +> ``` +> # Gurobi WLS license file +> # Your credentials are private and should not be shared or copied to public repositories. +> # Visit https://license.gurobi.com/manager/doc/overview for more information. +> WLSACCESSID=d5419c87-0d36-4a93-9385-773f5483b3c1 +> WLSSECRET=afa5d95f-ad0b-4a38-9550-a8913aacb7c0 +> LICENSEID=000000 +>``` + + ## Unit tests Now, you can run the unit tests by the following commands (with the default solver `highs`): ``` -python3 tests/fba.py -python3 tests/full_dimensional.py -python3 tests/max_ball.py -python3 tests/scaling.py -python3 tests/rounding.py -python3 tests/sampling.py +python tests/fba.py +python tests/full_dimensional.py +python tests/max_ball.py +python tests/scaling.py +python tests/rounding.py +python tests/sampling.py ``` -If you have installed Gurobi successfully, then run +Or, assuming you have installed Gurobi successfully, or an other `pyoptinterface`-supported solver, you may run: ``` -python3 tests/fba.py gurobi -python3 tests/full_dimensional.py gurobi -python3 tests/max_ball.py gurobi -python3 tests/scaling.py gurobi -python3 tests/rounding.py gurobi -python3 tests/sampling.py gurobi +python tests/fba.py gurobi +python tests/full_dimensional.py gurobi +python tests/max_ball.py gurobi +python tests/scaling.py gurobi +python tests/rounding.py gurobi +python tests/sampling.py gurobi ``` ## Tutorial @@ -213,14 +271,17 @@ The MCMC methods that dingo (through `volesti` library) provides are the followi #### Switch the linear programming solver -We use `pyoptinterface` to interface with the linear programming solvers. To switch the solver that `dingo` uses, you can use the `set_default_solver` function. The default solver is `highs` and you can switch to `gurobi` by running, +We use `pyoptinterface` to interface with the linear programming solvers. +To switch the solver that `dingo` uses, you can use the `set_default_solver` function. +The default solver is `highs` and you can switch to `gurobi` by running: ```python from dingo import set_default_solver set_default_solver("gurobi") ``` -You can also switch to other solvers that `pyoptinterface` supports, but we recommend using `highs` or `gurobi`. If you have issues with the solver, you can check the `pyoptinterface` [documentation](https://metab0t.github.io/PyOptInterface/getting_started.html). +You can also switch to other solvers that `pyoptinterface` supports, but we recommend using `highs` or `gurobi`. +If you have issues with the solver, you can check the `pyoptinterface` [documentation](https://metab0t.github.io/PyOptInterface/getting_started.html). ### Apply FBA and FVA methods diff --git a/ext_data/Abiotrophia_defectiva_ATCC_49176.xml.gz b/ext_data/Abiotrophia_defectiva_ATCC_49176.xml.gz new file mode 100644 index 0000000000000000000000000000000000000000..e63bc98d67c78caf869b72886edca177b39bf54f GIT binary patch literal 114333 zcmV)jK%u`MiwFP!000001MIzRbK*#rHvIkm6^{O}Q5{p-R=!GV&Fmc%xGcwD#N(H_ zyLMy4L4nE;ixG=)Pq}~nlPL)haHLGhtwi0!ycF0LBq*umAV^^Zer1X!SCS z7k~Q!{k#3cMYI^lliA|wZ$CWTf41Bo{_lVMpTE9*6_<%i7cYPNVY*%~fBxyGfBy5I z|1N+1@A2yCC;8;3dGu>ECqHHHhJG5ytLTUHRX>0GIAQ&cna^I<;kR!5yd168&(UK2lKw&b 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"id": "NNSJM_Z3McSs" }, @@ -433,7 +433,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -468,7 +468,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -481,14 +481,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Number of reactions in my model: 95\n", - "Here are the first 10 reactions in your model: ['PFK', 'PFL', 'PGI', 'PGK', 'PGL', 'ACALD', 'AKGt2r', 'PGM', 'PIt2r']\n" + "Number of reactions in my model: 95\n", + "Here are the first 10 reactions in your model: ['PFK', 'PFL', 'PGI', 'PGK', 'PGL', 'ACALD', 'AKGt2r', 'PGM', 'PIt2r']\n" ] } ], "source": [ - "print('Number of reactions in my model: ', len(model.reactions))\n", - "print('Here are the first 10 reactions in your model: ', model.reactions[:9])" + "print(f'Number of reactions in my model: {len(model.reactions)}')\n", + "print(f'Here are the first 10 reactions in your model: {model.reactions[:9]}')" ] }, { @@ -502,7 +502,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -523,7 +523,7 @@ " [ 0., 0., -1., ..., 0., 0., 0.]], shape=(72, 95))" ] }, - "execution_count": 7, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -543,7 +543,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -558,7 +558,7 @@ "(72, 95)" ] }, - "execution_count": 8, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -578,7 +578,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -598,7 +598,7 @@ " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -619,7 +619,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -635,7 +635,7 @@ "'BIOMASS_Ecoli_core_w_GAM'" ] }, - "execution_count": 10, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -653,7 +653,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -669,7 +669,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -678,7 +678,7 @@ "('BIOMASS_Ecoli_core_w_GAM', 24)" ] }, - "execution_count": 6, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -702,7 +702,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -728,7 +728,7 @@ " 0. , 0. , 0. , 0. , -0.129 , -0.205 ])" ] }, - "execution_count": 13, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -887,13 +887,13 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 20, "metadata": { "id": "kWFbcJumShgh" }, "outputs": [], "source": [ - "fba_output = model.fba()" + "fba_vector, fba_optimal = model.fba()" ] }, { @@ -911,7 +911,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -924,6 +924,9 @@ "name": "stdout", "output_type": "stream", "text": [ + "This is the value of that optimal solution of the objective function: \n", + " 0.8739215069684304\n", + "----------\n", "This is the optimal flux vector according to the biomass objective function: \n", " [ 7.47738196 0. 4.86086115 -16.02352614 4.95998494\n", " -0. -0. -14.71613957 3.21489505 -0.\n", @@ -943,22 +946,16 @@ " -0. -4.54185746 0. 0. -0.\n", " 4.95998494 -29.17582714 6.00724958 -0. -0.\n", " 0. -0. 5.06437566 0. 0.\n", - " 38.53460965 0. 4.76531919 21.79949266 9.2825326 ]\n", - "----------\n", - "This is the value of that optimal solution of the objective function: \n", - " 0.8739215069684304\n" + " 38.53460965 0. 4.76531919 21.79949266 9.2825326 ]\n" ] } ], "source": [ "np.set_printoptions(threshold=None)\n", "\n", - "max_biomass_flux_vector = fba_output[0]\n", - "max_biomass_objective = fba_output[1]\n", - "\n", - "print('This is the optimal flux vector according to the biomass objective function: \\n', max_biomass_flux_vector)\n", + "print('This is the value of that optimal solution of the objective function: \\n', fba_optimal)\n", "print('----------')\n", - "print('This is the value of that optimal solution of the objective function: \\n', max_biomass_objective)" + "print('This is the optimal flux vector according to the biomass objective function: \\n', fba_vector)" ] }, { @@ -974,7 +971,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": { "id": "fdLlAbhA0Ylg" }, @@ -1221,7 +1218,7 @@ "\n", "# Get the max flux distribution and the max biomass value when the objective function is maximum\n", "max_biomass_flux_vector = fva_output[2]\n", - "max_biomass_objective = fva_output[3]" + "max_biomass_objective = fva_output[3]" ] }, { @@ -1287,7 +1284,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 42, "metadata": { "id": "HHXSrEelXh4o" }, @@ -1316,60 +1313,42 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Applying the `generate_steady_states()` directly, will sample after optimizing for the objective function of the model; i.e. sampling on the subspace where the objective function, e.g. the biomass function, gets its optimal value. " + "Applying the `generate_steady_states()` directly, will sample **after optimizing for the objective function** of the model; i.e. sampling on the subspace where the objective function, e.g. the biomass function, gets its optimal value. " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 43, "metadata": {}, - "outputs": [], - "source": [ - "optimal_steady_states = sampler.generate_steady_states(ess = 1000, psrf = True)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "xo0P1z7BMcTA" - }, - "source": [ - "Yet, one may prefer studying suboptimal cases:" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "id": "0y_TOtcGUmAW" - }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 500, effective sample size = 6, ratio of the maximum singilar value over the minimum singular value = 1105.98\n", - "phase 2: number of correlated samples = 500, effective sample size = 132, ratio of the maximum singilar value over the minimum singular value = 2.13238\n", - "phase 3: number of correlated samples = 2400, effective sample size = 940\n", - "[4]total ess 1078: number of correlated samples = 3400\n", - "\n", - "\n" + "phase 1: number of correlated samples = 500, effective sample size = 4, ratio of the maximum singilar value over the minimum singular value = 1954.25\n", + "phase 2: number of correlated samples = 500, effective sample size = 4, ratio of the maximum singilar value over the minimum singular value = 156.236\n", + "phase 3: number of correlated samples = 500, effective sample size = 3, ratio of the maximum singilar value over the minimum singular value = 187.516\n", + "phase 4: number of correlated samples = 500, effective sample size = 80, ratio of the maximum singilar value over the minimum singular value = 45.4924\n", + "phase 5: number of correlated samples = 500, effective sample size = 187, ratio of the maximum singilar value over the minimum singular value = 3.16506\n", + "phase 6: number of correlated samples = 500, effective sample size = 122, ratio of the maximum singilar value over the minimum singular value = 2.98294\n", + "phase 7: number of correlated samples = 1600, effective sample size = 615" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "[4]maximum marginal PSRF: 1.00991\n" + "\n", + " [1]maximum marginal PSRF: 1.32145\n", + "[2]maximum marginal PSRF: 1.17007\n", + "[2]total ess: 1011\n", + "[2]maximum marginal PSRF: 1.05887\n", + "[2]total ess: 1007\n" ] } ], "source": [ - "model = dingo.MetabolicNetwork.from_sbml('../ext_data/e_coli_core.xml')\n", - "sampler = dingo.PolytopeSampler(model)\n", - "# Set percentage of biomass as minimum value the objective function may get\n", - "sampler.set_opt_percentage(10)\n", - "suboptimal_steady_states = sampler.generate_steady_states(ess=1000, psrf=True)" + "optimal_steady_states = sampler.generate_steady_states(ess = 1000, psrf = True)" ] }, { @@ -1394,7 +1373,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 46, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1407,14 +1386,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Number of reactions in my model: 95\n", - "Number of flux distributions sampled: 95\n" + "Number of reactions in my model: 95\n", + "Number of flux distributions sampled: 95\n" ] } ], "source": [ - "print('Number of reactions in my model: ', len(model.reactions))\n", - "print('Number of flux distributions sampled: ', steady_states.shape[0])" + "print(f'Number of reactions in my model: {len(model.reactions)}')\n", + "print(f'Number of flux distributions sampled: {optimal_steady_states.shape[0]}')" ] }, { @@ -1428,7 +1407,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 47, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1436,65 +1415,245 @@ "id": "767f9ouRagU5", "outputId": "e330ec6b-4c57-4294-f81b-84b17e73f09e" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of flux values of the flux distributions returned: 3600\n" + ] + } + ], "source": [ - "print('Number of flux values of the flux distributions returned: ', steady_states.shape[1])" + "print(f'Number of flux values of the flux distributions returned: {optimal_steady_states.shape[1]}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since we sample on the subspace where the objective function, in our case the biomass, is optimal, the flux distribution of the biomass function looks like a fixed number" ] }, { "cell_type": "code", - "execution_count": 47, + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dingo.illustrations.plot_histogram(\n", + " optimal_steady_states[24], # reaction's flux we need to get -- earlier we found that in e_coli_core, reaction 24 corresponds to Biomass\n", + " \"Biomass\", # name of the reaction\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The distribution is centered around 0.87 with a remarkably narrow spread, on the order of 1e-7." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As discussed, applying FBA through cobra's `summary()` function returns a **single** flux vector that attains the optimal objective value." + ] + }, + { + "cell_type": "code", + "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
Reaction identifier\n", - " BIOMASS_Ecoli_core_w_GAM\n", - "
Name\n", - " Biomass Objective Function with GAM\n", - "
Memory address0x7c5cc9168e80
Stoichiometry\n", - "

\n", - " 1.496 3pg_c + 3.7478 accoa_c + 59.81 atp_c + 0.361 e4p_c + 0.0709 f6p_c + 0.129 g3p_c + 0.205 g6p_c + 0.2557 gln__L_c + 4.9414 glu__L_c + 59.81 h2o_c + 3.547 nad_c + 13.0279 nadph_c + 1.7867 oaa_c...\n", - "

\n", - "

\n", - " 1.496 3-Phospho-D-glycerate + 3.7478 Acetyl-CoA + 59.81 ATP C10H12N5O13P3 + 0.361 D-Erythrose 4-phosphate + 0.0709 D-Fructose 6-phosphate + 0.129 Glyceraldehyde 3-phosphate + 0.205 D-Glucose...\n", - "

\n", - "
GPR\n", - " \n", - "
Lower bound0.0
Upper bound1000.0
\n", - " " + "

Objective

1.0 BIOMASS_Ecoli_core_w_GAM = 0.8739215069684295

Uptake

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MetaboliteReactionFluxC-NumberC-Flux
glc__D_eEX_glc__D_e106100.00%
nh4_eEX_nh4_e4.76500.00%
o2_eEX_o2_e21.800.00%
pi_eEX_pi_e3.21500.00%

Secretion

\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
MetaboliteReactionFluxC-NumberC-Flux
co2_eEX_co2_e-22.811100.00%
h2o_eEX_h2o_e-29.1800.00%
h_eEX_h_e-17.5300.00%
" ], "text/plain": [ - "" + "" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cobra_model.summary()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now examine the flux distribution of a specific reaction, rather than obtaining a single value. \n", + "\n", + "For example, focusing on an exchange reaction for one of the compounds above, we can assess how likely it is to observe a flux close to the FBA optimum." + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "46" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.reactions.index(\"EX_co2_e\")" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dingo.illustrations.plot_histogram(\n", + " optimal_steady_states[46], # reaction's flux we need to get -- earlier we found that in e_coli_core, reaction 24 corresponds to Biomass\n", + " \"EX_co2_e\", # name of the reaction\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The range again is super short, making CO2 having a fixed value for the biomass to be optimal" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "72" ] }, - "execution_count": 47, + "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "cobra_model.reactions.BIOMASS_Ecoli_core_w_GAM" + "cobra_model.reactions.index(\"GAPD\")" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "col = optimal_steady_states[:, (optimal_steady_states.max(axis=0) - optimal_steady_states.min(axis=0)).argmax()]" ] }, { @@ -1546,27 +1705,27 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(np.float64(0.08740727977552475), np.float64(0.40033963822415486))" + "(np.float64(0.8739210000019753), np.float64(0.8739211892793713))" ] }, - "execution_count": 52, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "min(steady_states[24]), max(steady_states[24])" + "min(optimal_steady_states[24]), max(optimal_steady_states[24])" ] }, { "cell_type": "code", - "execution_count": 53, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1578,7 +1737,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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", "text/plain": [ "
" ] @@ -1592,12 +1751,67 @@ "\n", "reactions = model.reactions\n", "plot_histogram(\n", - " steady_states[23], # here we set which reaction's flux we need to get \n", + " optimal_steady_states[23], # here we set which reaction's flux we need to get \n", " reactions[23], # here we provide the name of the reaction\n", " n_bins = 60,\n", ")" ] }, + { + "cell_type": "markdown", + "metadata": { + "id": "xo0P1z7BMcTA" + }, + "source": [ + "Yet, one may prefer studying suboptimal cases:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "0y_TOtcGUmAW" + }, + "outputs": [], + "source": [ + "model = dingo.MetabolicNetwork.from_sbml('../ext_data/e_coli_core.xml')\n", + "sampler = dingo.PolytopeSampler(model)\n", + "# Set percentage of biomass as minimum value the objective function may get\n", + "sampler.set_opt_percentage(10)\n", + "suboptimal_steady_states = sampler.generate_steady_states(ess=1000, psrf=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "phase 1: number of correlated samples = 500, effective sample size = 5, ratio of the maximum singilar value over the minimum singular value = 1258.36\n", + "phase 2: number of correlated samples = 500, effective sample size = 3, ratio of the maximum singilar value over the minimum singular value = 196.957\n", + "phase 3: number of correlated samples = 500, effective sample size = 7, ratio of the maximum singilar value over the minimum singular value = 293.58\n", + "phase 4: number of correlated samples = 500, effective sample size = 127, ratio of the maximum singilar value over the minimum singular value = 36.8788\n", + "phase 5: number of correlated samples = 500, effective sample size = 156, ratio of the maximum singilar value over the minimum singular value = 3.37424\n", + "phase 6: number of correlated samples = 500, effective sample size = 185, ratio of the maximum singilar value over the minimum singular value = 2.8492\n", + "phase 7: number of correlated samples = 1400, effective sample size = 566\n", + "[4]total ess 1049: number of correlated samples = 4400\n", + "\n", + "\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[4]maximum marginal PSRF: 1.0221\n" + ] + } + ], + "source": [] + }, { "cell_type": "markdown", "metadata": { @@ -1652,6 +1866,109 @@ "\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sampling on real world GEMs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Last, we use a bacterial species GEM from Prof. Machado [collection](https://github.com/cdanielmachado/embl_gems/), to have a first glance of how time scales.\n", + "\n", + "Just like before, we first load the GEM" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "agora_model = dingo.MetabolicNetwork.from_sbml(\"../ext_data/Abiotrophia_defectiva_ATCC_49176.xml.gz\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "andd build a `PolytopeSampler` instance based on that:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "sampler = dingo.PolytopeSampler(agora_model)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And we can now use the `generate_steady_states()` or any other sampling function, see above:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "phase 1: number of correlated samples = 5400, effective sample size = 39, ratio of the maximum singilar value over the minimum singular value = 3426.67\n", + "phase 2: number of correlated samples = 5400, effective sample size = 42, ratio of the maximum singilar value over the minimum singular value = 175035\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[5]maximum marginal PSRF: 2.26957\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "phase 3: number of correlated samples = 3300, effective sample size = 23\n", + "[5]total ess 104: number of correlated samples = 14100\n", + "\n", + "\n" + ] + } + ], + "source": [ + "agora_samples = sampler.generate_steady_states(ess=100)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1070, 14100)" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "agora_samples.shape" + ] + }, { "cell_type": "markdown", "metadata": { From 5b3c157f3388b0cbe3c94281fad44381b8b13685 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 00:58:14 +0000 Subject: [PATCH 08/18] copula dependencies for the codespace case --- .devcontainer/devcontainer.json | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json index cf45cdc..ec8f8a9 100644 --- a/.devcontainer/devcontainer.json +++ b/.devcontainer/devcontainer.json @@ -13,5 +13,11 @@ ] } }, - "features": {} + "features": {}, + "postCreateCommand": [ + "apt-get update", + "apt-get install -y libnss3 libatk-bridge2.0-0 libcups2 libxcomposite1 libxdamage1 libxfixes3 libxrandr2 libgbm1 libxkbcommon0 libpango-1.0-0 libcairo2 libasound2", + "pip install --upgrade nbformat kaleido", + "echo y | plotly_get_chrome" + ] } \ No newline at end of file From 91128112e8c23776a3901bb489cfed549e2c2bb9 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 00:58:30 +0000 Subject: [PATCH 09/18] save format --- dingo/illustrations.py | 16 ++++++++++++---- 1 file changed, 12 insertions(+), 4 deletions(-) diff --git a/dingo/illustrations.py b/dingo/illustrations.py index fd37b65..f2b64e2 100644 --- a/dingo/illustrations.py +++ b/dingo/illustrations.py @@ -14,7 +14,7 @@ import plotly.figure_factory as ff from scipy.cluster import hierarchy -def plot_copula(data_flux1, data_flux2, n = 5, width = 900 , height = 600, export_format = "svg"): +def plot_copula(data_flux1, data_flux2, n = 5, width = 900 , height = 600, save = True, export_format = "svg"): """A Python function to plot the copula between two fluxes Keyword arguments: @@ -59,17 +59,21 @@ def plot_copula(data_flux1, data_flux2, n = 5, width = 900 , height = 600, expor ) fig.update_layout(scene_camera=camera) - fig.to_image(format = export_format, engine="kaleido") - pio.write_image(fig, fig_name, scale=2) + + if save: + fig.to_image(format = export_format, engine="kaleido") + pio.write_image(fig, fig_name, scale=2) -def plot_histogram(reaction_fluxes, reaction, n_bins=40): +def plot_histogram(reaction_fluxes, reaction, n_bins = 40, save = False, export_format = "png"): """A Python function to plot the histogram of a certain reaction flux. Keyword arguments: reaction_fluxes -- a vector that contains sampled fluxes of a reaction reaction -- a string with the name of the reacion n_bins -- the number of bins for the histogram + save -- save plot to a file + export_format -- file format to save the plot """ plt.figure(figsize=(7, 7)) @@ -84,10 +88,14 @@ def plot_histogram(reaction_fluxes, reaction, n_bins=40): plt.title("Reaction: " + reaction, fontweight="bold", fontsize=18) plt.axis([np.amin(reaction_fluxes), np.amax(reaction_fluxes), 0, np.amax(n) * 1.2]) + if save: + plt.savefig(reaction + "." + export_format, dpi = 150, bbox_inches = "tight", format = export_format) + plt.show() + def plot_corr_matrix(corr_matrix, reactions, removed_reactions=[], format="svg"): """A Python function to plot the heatmap of a model's pearson correlation matrix. From 6b23e670907c5f144d3a3e24ebc13d60ca988641 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 00:58:42 +0000 Subject: [PATCH 10/18] updated notebook --- tutorials/dingo_tutorial.ipynb | 371 +++++++++++++++++++++------------ 1 file changed, 236 insertions(+), 135 deletions(-) diff --git a/tutorials/dingo_tutorial.ipynb b/tutorials/dingo_tutorial.ipynb index 3827968..f119969 100644 --- a/tutorials/dingo_tutorial.ipynb +++ b/tutorials/dingo_tutorial.ipynb @@ -653,7 +653,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -1437,32 +1437,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "(np.float64(0.8739210000019753), np.float64(0.8739211892793713))" ] }, + "execution_count": 48, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "dingo.illustrations.plot_histogram(\n", - " optimal_steady_states[24], # reaction's flux we need to get -- earlier we found that in e_coli_core, reaction 24 corresponds to Biomass\n", - " \"Biomass\", # name of the reaction\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The distribution is centered around 0.87 with a remarkably narrow spread, on the order of 1e-7." + "min(optimal_steady_states[24]), max(optimal_steady_states[24])" ] }, { @@ -1624,122 +1614,186 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The range again is super short, making CO2 having a fixed value for the biomass to be optimal" + "The distribution is centered around 22.8 with a remarkably narrow spread, on the order of 1e-5." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Yet, even in this toy example, even when the objective function is required to be optimal, fluxes can still range!\n", + "\n", + "So, let's see what flux from the optimal case has the highest range:" ] }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "72" + "'SUCDi'" ] }, - "execution_count": 66, + "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "cobra_model.reactions.index(\"GAPD\")" + "row_idx = (optimal_steady_states.max(axis=1) - optimal_steady_states.min(axis=1)).argmax()\n", + "model.reactions[row_idx]" ] }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 81, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "col = optimal_steady_states[:, (optimal_steady_states.max(axis=0) - optimal_steady_states.min(axis=0)).argmax()]" + "dingo.illustrations.plot_histogram(\n", + " optimal_steady_states[row_idx], # reaction's flux we need to get -- earlier we found that in e_coli_core, reaction 24 corresponds to Biomass\n", + " \"SUCDi\", # name of the reaction\n", + ")" ] }, { "cell_type": "markdown", "metadata": { - "id": "svc47hxNbo6L" + "id": "xo0P1z7BMcTA" }, "source": [ - "Let us now assume that we are interested in a certain reaction of our model, for example the last reaction of the glycolysis which is catalyzed by the Pyruvate kinase (PYK) enzyme. \n", + "Yet, one may prefer studying **suboptimal cases**. \n", "\n", - "We first need to look in the `model.reactions` list and find the index of the `EX_o2_e` reaction; the enzyme is usually the name of reaction. " + "You can specify the minimum percentage of the optimal objective value that sampled flux vectors must satisfy. \n", + "For instance, in the `e_coli_core` model the optimal biomass flux is 0.87; setting `set_opt_percentage` to 10 would restrict sampling to flux vectors with a biomass flux of at least 0.087." ] }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 42, "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "-im2Cgq5b3oS", - "outputId": "f0f9948a-99ef-46de-d05a-e21e49164011" + "id": "0y_TOtcGUmAW" }, "outputs": [ { - "data": { - "text/plain": [ - "24" - ] - }, - "execution_count": 48, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "phase 1: number of correlated samples = 500, effective sample size = 11, ratio of the maximum singilar value over the minimum singular value = 1244.53\n", + "phase 2: number of correlated samples = 500, effective sample size = 101, ratio of the maximum singilar value over the minimum singular value = 2.0094\n", + "phase 3: number of correlated samples = 2200, effective sample size = 895\n", + "[4]total ess 1007: number of correlated samples = 3200\n", + "\n", + "\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[4]maximum marginal PSRF: 1.00074\n" + ] } ], "source": [ - "# model.reactions.index('EX_o2_e')\n", - "model.reactions.index('BIOMASS_Ecoli_core_w_GAM')" + "model = dingo.MetabolicNetwork.from_sbml('../ext_data/e_coli_core.xml')\n", + "sampler = dingo.PolytopeSampler(model)\n", + "\n", + "# Set percentage of biomass as minimum value the objective function may get\n", + "sampler.set_opt_percentage(10)\n", + "suboptimal_steady_states = sampler.generate_steady_states(ess=1000, psrf=True)" ] }, { "cell_type": "markdown", - "metadata": { - "id": "k6uheDpHfiHq" - }, + "metadata": {}, "source": [ - "Now that we know the index of the reaction of our interest, we can use the [`plot_histogram`](https://github.com/GeomScale/dingo/blob/a76b4be22f33feac86dff38746c7f2706afb2b67/dingo/utils.py#L177) function of `dingo` to plot its corresponding flux distribution. " + "Let's have a look on the biomass now! " ] }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "(np.float64(0.8739210000019753), np.float64(0.8739211892793713))" + "
" ] }, - "execution_count": 48, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "min(optimal_steady_states[24]), max(optimal_steady_states[24])" + "dingo.illustrations.plot_histogram(\n", + " suboptimal_steady_states[24], \"biomass\"\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this case, biomass, contrary to the optimal sampling, ranges between 0.08 and 0.275, in a shape of an exponential distribution. " ] }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 467 - }, - "id": "-n2HKr82yKyh", - "outputId": "2d924fe9-975b-482c-9da7-016c002de61c" - }, + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "expon p=0.3257\n", + "gamma p=0.4970\n", + "lognorm p=0.0000\n" + ] + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from scipy import stats\n", + "\n", + "data = suboptimal_steady_states[24]\n", + "\n", + "shifted = data - data.min() + 1e-10 # tiny offset to avoid exact zeros\n", + "\n", + "for dist in [stats.expon, stats.gamma, stats.lognorm]:\n", + " params = dist.fit(shifted, floc=0)\n", + " stat, p = stats.kstest(shifted, dist.name, args=params)\n", + " print(f\"{dist.name:15s} p={p:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -1747,99 +1801,153 @@ } ], "source": [ - "from dingo import plot_histogram\n", + "a, loc, scale = stats.gamma.fit(data, floc=0.08)\n", + "x = np.linspace(0, max(data), 100)\n", "\n", - "reactions = model.reactions\n", - "plot_histogram(\n", - " optimal_steady_states[23], # here we set which reaction's flux we need to get \n", - " reactions[23], # here we provide the name of the reaction\n", - " n_bins = 60,\n", - ")" + "plt.hist(data, bins=30, density=True, alpha=0.6, label='data')\n", + "plt.plot(x, stats.gamma.pdf(x, a, loc, scale), 'r-', label='gamma fit')\n", + "plt.legend()\n", + "plt.show()" ] }, { "cell_type": "markdown", - "metadata": { - "id": "xo0P1z7BMcTA" - }, + "metadata": {}, "source": [ - "Yet, one may prefer studying suboptimal cases:" + "Aparently, the most glucose the cell uptakes, the most it grows. Let's test this!" ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": { - "id": "0y_TOtcGUmAW" - }, - "outputs": [], + "cell_type": "markdown", + "metadata": {}, "source": [ - "model = dingo.MetabolicNetwork.from_sbml('../ext_data/e_coli_core.xml')\n", - "sampler = dingo.PolytopeSampler(model)\n", - "# Set percentage of biomass as minimum value the objective function may get\n", - "sampler.set_opt_percentage(10)\n", - "suboptimal_steady_states = sampler.generate_steady_states(ess=1000, psrf=True)" + "Get index of reaction uptaking glucose" ] }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 53, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "phase 1: number of correlated samples = 500, effective sample size = 5, ratio of the maximum singilar value over the minimum singular value = 1258.36\n", - "phase 2: number of correlated samples = 500, effective sample size = 3, ratio of the maximum singilar value over the minimum singular value = 196.957\n", - "phase 3: number of correlated samples = 500, effective sample size = 7, ratio of the maximum singilar value over the minimum singular value = 293.58\n", - "phase 4: number of correlated samples = 500, effective sample size = 127, ratio of the maximum singilar value over the minimum singular value = 36.8788\n", - "phase 5: number of correlated samples = 500, effective sample size = 156, ratio of the maximum singilar value over the minimum singular value = 3.37424\n", - "phase 6: number of correlated samples = 500, effective sample size = 185, ratio of the maximum singilar value over the minimum singular value = 2.8492\n", - "phase 7: number of correlated samples = 1400, effective sample size = 566\n", - "[4]total ess 1049: number of correlated samples = 4400\n", - "\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[4]maximum marginal PSRF: 1.0221\n" - ] + "data": { + "text/plain": [ + "58" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" } ], - "source": [] + "source": [ + "model.reactions.index(\"EX_nh4_e\")" + ] }, { "cell_type": "markdown", - "metadata": { - "id": "jl7tJ-ObS6L3" - }, + "metadata": {}, "source": [ - "From the flux distribution of PYK we can that most values fall between 1.7 and 1.9 and that it looks approximately normal, with a mean value at 1.775 mmol/gDW/h (millimoles per gram dry weight per hour).\n" + "And then plot a copula for the glucose uptake and the biomass flux.in\n", + "\n", + "A copula visualizes the dependency structure between two or more variables, separated from their individual distributions.\n", + "\n", + "In our case, it shows how two reaction fluxes co-vary — i.e. if one flux is high, does the other tend to be high or low too — regardless of their marginal distributions." ] }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 617 - }, - "id": "pQskY7EeWPdv", - "outputId": "715833d7-fc8f-452e-e0b2-3fdcf2532848" - }, - "outputs": [], + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'BIOMASS_Ecoli_core_w_GAM'" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "from dingo.illustrations import plot_copula\n", - "\n", - "reaction_1 = [steady_states[23], reactions[23]]\n", - "reaction_2 = [steady_states[21], reactions[21]]\n", - "\n", - "plot_copula(reaction_1, reaction_2, n = 5, width = 900 , height = 600, export_format = \"svg\")\n" + "model.reactions[24]" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "type": "surface", + "z": { + "bdata": "MzMzMzMzmz97FK5H4XqcP65H4XoUrp8/hetRuB6Foz+amZmZmZmzP83MzMzMzKA/SOF6FK5HoT97FK5H4XqcPzMzMzMzM6c/4XoUrkfhrj97FK5H4XqkP1yPwvUoXJ8/zczMzMzMpD+kcD0K16OkP83MzMzMzKg/zczMzMzMoD89CtejcD2mPz0K16NwPao/mpmZmZmZrT8UrkfhehSOP1yPwvUoXLE/exSuR+F6sD9I4XoUrkepP+F6FK5H4ZI/AAAAAAAAAAA=", + "dtype": "f8", + "shape": "5, 5" + } + } + ], + "layout": { + "height": 600, + "margin": { + "b": 30, + "l": 30, + "r": 30, + "t": 50 + }, + "scene": { + "xaxis": { + "title": { + "text": "biomass" + } + }, + "yaxis": { + "title": { + "text": "nh4" + } + }, + "zaxis": { + "title": { + "text": "prob, mass" + } + } + }, + "title": { + "text": "Copula between biomass and nh4" + }, + "width": 900 + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dingo.illustrations.plot_copula(\n", + " [suboptimal_steady_states[24], \"biomass\"], \n", + " [suboptimal_steady_states[58], \"nh4\"], \n", + " n = 5, \n", + " width = 900 , \n", + " height = 600, \n", + " # save = False\n", + ")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sampling on real world GEMs" ] }, { @@ -1866,13 +1974,6 @@ "\n" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Sampling on real world GEMs" - ] - }, { "cell_type": "markdown", "metadata": {}, From 5db4ca7952d32c7083b6782e75ec032f3d5bce91 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 00:59:45 +0000 Subject: [PATCH 11/18] minor --- README.md | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index abc07fd..997ddb0 100644 --- a/README.md +++ b/README.md @@ -175,10 +175,9 @@ You may check out `dingo`'s main features through a GitHub codespace. To do this, you may click [here](https://github.com/codespaces/new?repo=GeomScale/dingo&ref=main) and fire a new codespace by clicking on the "Create codespace" button. -This will take a few minutes. +This will take a few minutes (~5'). -Once the codespace is ready, you may try to follow the [`dingo_tutorial`](./tutorials/dingo_tutorial.ipynb) -Jupyter notebook. +Once the codespace is ready, you may try to follow the [`dingo_tutorial`](./tutorials/dingo_tutorial.ipynb) Jupyter notebook. ## Documentation From 69716bd2a10017f46b7d32a99e83ecee84acd012 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 09:38:00 +0000 Subject: [PATCH 12/18] depdendencies for codespace notebook --- .devcontainer/devcontainer.json | 7 +------ .devcontainer/post_create.sh | 20 ++++++++++++++++++++ 2 files changed, 21 insertions(+), 6 deletions(-) create mode 100644 .devcontainer/post_create.sh diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json index ec8f8a9..1374640 100644 --- a/.devcontainer/devcontainer.json +++ b/.devcontainer/devcontainer.json @@ -14,10 +14,5 @@ } }, "features": {}, - "postCreateCommand": [ - "apt-get update", - "apt-get install -y libnss3 libatk-bridge2.0-0 libcups2 libxcomposite1 libxdamage1 libxfixes3 libxrandr2 libgbm1 libxkbcommon0 libpango-1.0-0 libcairo2 libasound2", - "pip install --upgrade nbformat kaleido", - "echo y | plotly_get_chrome" - ] + "postCreateCommand": "bash .devcontainer/post_create.sh" } \ No newline at end of file diff --git a/.devcontainer/post_create.sh b/.devcontainer/post_create.sh new file mode 100644 index 0000000..460ea05 --- /dev/null +++ b/.devcontainer/post_create.sh @@ -0,0 +1,20 @@ +#!/bin/bash +set -e # stop on any error + +apt-get update +apt-get install -y \ + libnss3 \ + libatk-bridge2.0-0 \ + libcups2 \ + libxcomposite1 \ + libxdamage1 \ + libxfixes3 \ + libxrandr2 \ + libgbm1 \ + libxkbcommon0 \ + libpango-1.0-0 \ + libcairo2 \ + libasound2 + +pip install --upgrade nbformat kaleido +echo y | plotly_get_chrome \ No newline at end of file From 72970cb3422a12b18886434d337944f2572a9f43 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 09:39:36 +0000 Subject: [PATCH 13/18] up and running --- tutorials/dingo_tutorial.ipynb | 473 ++++++++++++++++++++------------- 1 file changed, 282 insertions(+), 191 deletions(-) diff --git a/tutorials/dingo_tutorial.ipynb b/tutorials/dingo_tutorial.ipynb index f119969..8f1bcca 100644 --- a/tutorials/dingo_tutorial.ipynb +++ b/tutorials/dingo_tutorial.ipynb @@ -138,7 +138,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -147,7 +147,21 @@ "id": "G5m2-7t7fUkf", "outputId": "a053a2c0-967c-4580-94f7-2d9ed20061e3" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "#@title Pathway reactions fluxes representation{ display-mode: \"form\" }\n", "from IPython.display import HTML\n", @@ -369,7 +383,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -403,7 +417,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "metadata": { "id": "NNSJM_Z3McSs" }, @@ -433,7 +447,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -468,7 +482,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -502,7 +516,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -523,7 +537,7 @@ " [ 0., 0., -1., ..., 0., 0., 0.]], shape=(72, 95))" ] }, - "execution_count": 9, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -543,7 +557,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -558,7 +572,7 @@ "(72, 95)" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -578,7 +592,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -598,7 +612,7 @@ " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -619,7 +633,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -635,7 +649,7 @@ "'BIOMASS_Ecoli_core_w_GAM'" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -653,7 +667,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -669,7 +683,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -678,7 +692,7 @@ "('BIOMASS_Ecoli_core_w_GAM', 24)" ] }, - "execution_count": 14, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -702,7 +716,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -728,7 +742,7 @@ " 0. , 0. , 0. , 0. , -0.129 , -0.205 ])" ] }, - "execution_count": 15, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -750,7 +764,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -765,7 +779,7 @@ "(72,)" ] }, - "execution_count": 14, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -785,7 +799,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -800,7 +814,7 @@ "72" ] }, - "execution_count": 15, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -838,7 +852,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -856,7 +870,7 @@ " 'solver': None}" ] }, - "execution_count": 16, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -911,7 +925,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -964,14 +978,90 @@ "id": "rKBVhQI9SlbO" }, "source": [ - "💪 Even it is quite common that the objective function is the biomass function of a model, **you can change your objective function** as you wish and use any reaction as your objective function.\n", + "💪 It is quite common that the objective function is the biomass function of a model, hoowever, **you can change your objective function** as you wish and use any reaction as your objective function.\n", "\n", - "For example, to maximize the 1st reaction of the model, we first build an array with the number of reactions of our model with `0`s and then we set only its first elemet equal to `1`:" + "For example, to maximize the 1st reaction of the model (PFK: Phosphofructokinase), we first build an array with the number of reactions of our model with `0`s and then we set only its first elemet equal to `1`:" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'PFK'" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.reactions[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Reaction identifier\n", + " PFK\n", + "
Name\n", + " Phosphofructokinase\n", + "
Memory address0x778621344460
Stoichiometry\n", + "

\n", + " atp_c + f6p_c --> adp_c + fdp_c + h_c\n", + "

\n", + "

\n", + " ATP C10H12N5O13P3 + D-Fructose 6-phosphate --> ADP C10H12N5O10P2 + D-Fructose 1,6-bisphosphate + H+\n", + "

\n", + "
GPR\n", + " b3916 or b1723\n", + "
Lower bound0.0
Upper bound1000.0
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cobra_model.reactions.PFK" + ] + }, + { + "cell_type": "code", + "execution_count": 24, "metadata": { "id": "fdLlAbhA0Ylg" }, @@ -993,7 +1083,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 25, "metadata": { "id": "jrASE_SS2Nst" }, @@ -1013,7 +1103,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1033,7 +1123,7 @@ " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" ] }, - "execution_count": 24, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -1062,7 +1152,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 27, "metadata": { "id": "f11M0AClnfhZ" }, @@ -1073,7 +1163,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1105,7 +1195,7 @@ ], "source": [ "max_biomass_flux_vector_new_obj = fba_output_new_obj[0]\n", - "max_biomass_objective_new_obj = fba_output_new_obj[1]\n", + "max_biomass_objective_new_obj = fba_output_new_obj[1]\n", "print('This is the optimal flux vector according to my objective function:\\n', max_biomass_flux_vector_new_obj)\n", "print('----------')\n", "print('This is the value of that optimal solution of the new objective function:\\n', max_biomass_objective_new_obj)" @@ -1126,34 +1216,7 @@ "id": "MDxY8bCiMcS7" }, "source": [ - "Let's run FVA using that; this will take a while 😉" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 35 - }, - "id": "OaxWPyakpriX", - "outputId": "e673ebb2-a8dc-44de-8b71-a44606100610" - }, - "outputs": [ - { - "data": { - "text/plain": [ - "'PFK'" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.reactions[0]" + "Let's run FVA using this altered model, i.e. after changing its objective function, so it optimizes for PFK. " ] }, { @@ -1162,11 +1225,7 @@ "id": "ex3H0OXtpGr1" }, "source": [ - "As we said earlier, FVA gets the min and max value of each reaction flux that can still satisfy the constraints of the metabolic model.\n", - "\n", - "**Remember!** \n", - "\n", - "In the previous step, we replaced the `objective_function` of our model. So if we run FVA in our current model, then the first reaction of our model " + "As we said earlier, FVA gets the minimum and maximum value of each reaction flux that can still satisfy the constraints of the metabolic model." ] }, { @@ -1200,7 +1259,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": { "id": "Mk-CtSOJLWo8" }, @@ -1227,12 +1286,46 @@ "id": "p81io8bFMcS_" }, "source": [ - "Let's see how they're different!" + "Let's see how the first 10 minimum fluxes look like in the two cases:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "This is the flux vector with the minimum values of each flux when the biomass function gets maximum:\n", + " [ 7.47730610e+00 0.00000000e+00 4.86063216e+00 -1.60236104e+01\n", + " 4.95973618e+00 -1.47484815e-05 -8.29602083e-06 -1.47162246e+01\n", + " 3.21489318e+00 -1.28454516e-05]\n", + "----------\n", + "This is the flux vector with the maximum values of each flux when the PFK reaction gets maximum:\n", + " [176.61 0. 10. -20. -0. -0. -0. -20. -0. -0. ]\n" + ] + } + ], + "source": [ + "print('This is the flux vector with the minimum values of each flux when the biomass function gets maximum:\\n', min_fluxes[:10])\n", + "\n", + "print('----------')\n", + "\n", + "print('This is the flux vector with the maximum values of each flux when the PFK reaction gets maximum:\\n', pfk_min_fluxes[:10])\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "and the 10 maximum ones:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1240,15 +1333,29 @@ "id": "XYIkjxGxMcS_", "outputId": "6b75b7b1-d749-4a8b-9ab0-6d01ce7b7f00" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "This is the flux vector with the minimum values of each flux when the PFK reaction gets maximum:\n", + " [ 1.76610000e+02 -0.00000000e+00 1.00000000e+01 -2.00000000e+01\n", + " 7.48438348e-13 -0.00000000e+00 -0.00000000e+00 -2.00000000e+01\n", + " -0.00000000e+00 -0.00000000e+00]\n", + "----------\n", + "This is the flux vector with the maximum values of each flux when the biomass function gets maximum:\n", + " [ 7.47748530e+00 6.63681667e-05 4.86111001e+00 -1.60234511e+01\n", + " 4.96021403e+00 -0.00000000e+00 -0.00000000e+00 -1.47160653e+01\n", + " 3.21489505e+00 -0.00000000e+00]\n" + ] + } + ], "source": [ - "print('This is the flux vector with the minimum values of each flux when the PFK reaction gets maximum:\\n', pfk_min_fluxes)\n", - "print('This is the flux vector with the minimum values of each flux when the biomass function gets maximum:\\n', min_fluxes)\n", + "print('This is the flux vector with the minimum values of each flux when the PFK reaction gets maximum:\\n', pfk_max_fluxes[:10])\n", "\n", "print('----------')\n", "\n", - "print('This is the flux vector with the maximum values of each flux when the PFK reaction gets maximum:\\n', pfk_max_fluxes)\n", - "print('This is the flux vector with the maximum values of each flux when the biomass function gets maximum:\\n', max_fluxes)" + "print('This is the flux vector with the maximum values of each flux when the biomass function gets maximum:\\n', max_fluxes[:10])" ] }, { @@ -1282,9 +1389,16 @@ "To do so, you first build an instance of this class based on your `model`:" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> It is always a good practice to load again your model if you are not sure what changes you have applied to it" + ] + }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 33, "metadata": { "id": "HHXSrEelXh4o" }, @@ -1318,20 +1432,22 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 500, effective sample size = 4, ratio of the maximum singilar value over the minimum singular value = 1954.25\n", - "phase 2: number of correlated samples = 500, effective sample size = 4, ratio of the maximum singilar value over the minimum singular value = 156.236\n", - "phase 3: number of correlated samples = 500, effective sample size = 3, ratio of the maximum singilar value over the minimum singular value = 187.516\n", - "phase 4: number of correlated samples = 500, effective sample size = 80, ratio of the maximum singilar value over the minimum singular value = 45.4924\n", - "phase 5: number of correlated samples = 500, effective sample size = 187, ratio of the maximum singilar value over the minimum singular value = 3.16506\n", - "phase 6: number of correlated samples = 500, effective sample size = 122, ratio of the maximum singilar value over the minimum singular value = 2.98294\n", - "phase 7: number of correlated samples = 1600, effective sample size = 615" + "phase 1: number of correlated samples = 500, effective sample size = 19, ratio of the maximum singilar value over the minimum singular value = 965.085\n", + "phase 2: number of correlated samples = 500, effective sample size = 5, ratio of the maximum singilar value over the minimum singular value = 220.167\n", + "phase 3: number of correlated samples = 500, effective sample size = 4, ratio of the maximum singilar value over the minimum singular value = 198.125\n", + "phase 4: number of correlated samples = 500, effective sample size = 23, ratio of the maximum singilar value over the minimum singular value = 66.7481\n", + "phase 5: number of correlated samples = 500, effective sample size = 181, ratio of the maximum singilar value over the minimum singular value = 2.93347\n", + "phase 6: number of correlated samples = 2000, effective sample size = 783[3]total ess 996: number of correlated samples = 4000\n", + "\n", + "\n", + "phase 7: number of correlated samples = 100, effective sample size = 36" ] }, { @@ -1339,11 +1455,14 @@ "output_type": "stream", "text": [ "\n", - " [1]maximum marginal PSRF: 1.32145\n", - "[2]maximum marginal PSRF: 1.17007\n", - "[2]total ess: 1011\n", - "[2]maximum marginal PSRF: 1.05887\n", - "[2]total ess: 1007\n" + " [1]maximum marginal PSRF: 1.27393\n", + "[2]maximum marginal PSRF: 1.13917\n", + "[2]total ess: 996\n", + "[3]maximum marginal PSRF: 1.13917\n", + "\n", + " [1]maximum marginal PSRF: 1.12603\n", + "[2]maximum marginal PSRF: 1.03599\n", + "[2]total ess: 1027\n" ] } ], @@ -1373,7 +1492,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 35, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1407,7 +1526,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 36, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1432,21 +1551,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Since we sample on the subspace where the objective function, in our case the biomass, is optimal, the flux distribution of the biomass function looks like a fixed number" + "Since we sample on the subspace where the objective function, in our case the biomass, is optimal, the flux distribution of the biomass function *looks like* a *fixed* number" ] }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(np.float64(0.8739210000019753), np.float64(0.8739211892793713))" + "(np.float64(0.8739210000081289), np.float64(0.8739211658059067))" ] }, - "execution_count": 48, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } @@ -1464,7 +1583,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 38, "metadata": {}, "outputs": [ { @@ -1546,10 +1665,10 @@ "" ], "text/plain": [ - "" + "" ] }, - "execution_count": 55, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -1569,7 +1688,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 39, "metadata": {}, "outputs": [ { @@ -1578,7 +1697,7 @@ "46" ] }, - "execution_count": 64, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -1589,12 +1708,12 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 40, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1628,7 +1747,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 41, "metadata": {}, "outputs": [ { @@ -1637,7 +1756,7 @@ "'SUCDi'" ] }, - "execution_count": 80, + "execution_count": 41, "metadata": {}, "output_type": "execute_result" } @@ -1649,12 +1768,12 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1684,7 +1803,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 43, "metadata": { "id": "0y_TOtcGUmAW" }, @@ -1693,10 +1812,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 500, effective sample size = 11, ratio of the maximum singilar value over the minimum singular value = 1244.53\n", - "phase 2: number of correlated samples = 500, effective sample size = 101, ratio of the maximum singilar value over the minimum singular value = 2.0094\n", - "phase 3: number of correlated samples = 2200, effective sample size = 895\n", - "[4]total ess 1007: number of correlated samples = 3200\n", + "phase 1: number of correlated samples = 500, effective sample size = 8, ratio of the maximum singilar value over the minimum singular value = 1261.05\n", + "phase 2: number of correlated samples = 500, effective sample size = 164, ratio of the maximum singilar value over the minimum singular value = 1\n", + "phase 3: number of correlated samples = 2400, effective sample size = 790\n", + "phase 4: number of correlated samples = 500, effective sample size = 175\n", + "[4]total ess 1137: number of correlated samples = 3900\n", "\n", "\n" ] @@ -1705,7 +1825,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "[4]maximum marginal PSRF: 1.00074\n" + "[4]maximum marginal PSRF: 1.00183\n" ] } ], @@ -1727,12 +1847,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 44, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -1751,63 +1871,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In this case, biomass, contrary to the optimal sampling, ranges between 0.08 and 0.275, in a shape of an exponential distribution. " - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "expon p=0.3257\n", - "gamma p=0.4970\n", - "lognorm p=0.0000\n" - ] - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "from scipy import stats\n", - "\n", - "data = suboptimal_steady_states[24]\n", - "\n", - "shifted = data - data.min() + 1e-10 # tiny offset to avoid exact zeros\n", - "\n", - "for dist in [stats.expon, stats.gamma, stats.lognorm]:\n", - " params = dist.fit(shifted, floc=0)\n", - " stat, p = stats.kstest(shifted, dist.name, args=params)\n", - " print(f\"{dist.name:15s} p={p:.4f}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a, loc, scale = stats.gamma.fit(data, floc=0.08)\n", - "x = np.linspace(0, max(data), 100)\n", - "\n", - "plt.hist(data, bins=30, density=True, alpha=0.6, label='data')\n", - "plt.plot(x, stats.gamma.pdf(x, a, loc, scale), 'r-', label='gamma fit')\n", - "plt.legend()\n", - "plt.show()" + "In this case, biomass, contrary to the optimal sampling, **ranges** between 0.08 and 0.275, in a gamma-like distribution. " ] }, { @@ -1826,7 +1890,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 45, "metadata": {}, "outputs": [ { @@ -1835,7 +1899,7 @@ "58" ] }, - "execution_count": 53, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -1851,13 +1915,12 @@ "And then plot a copula for the glucose uptake and the biomass flux.in\n", "\n", "A copula visualizes the dependency structure between two or more variables, separated from their individual distributions.\n", - "\n", "In our case, it shows how two reaction fluxes co-vary — i.e. if one flux is high, does the other tend to be high or low too — regardless of their marginal distributions." ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -1866,7 +1929,7 @@ "'BIOMASS_Ecoli_core_w_GAM'" ] }, - "execution_count": 45, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -1877,7 +1940,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 47, "metadata": {}, "outputs": [ { @@ -1890,7 +1953,7 @@ { "type": "surface", "z": { - "bdata": "MzMzMzMzmz97FK5H4XqcP65H4XoUrp8/hetRuB6Foz+amZmZmZmzP83MzMzMzKA/SOF6FK5HoT97FK5H4XqcPzMzMzMzM6c/4XoUrkfhrj97FK5H4XqkP1yPwvUoXJ8/zczMzMzMpD+kcD0K16OkP83MzMzMzKg/zczMzMzMoD89CtejcD2mPz0K16NwPao/mpmZmZmZrT8UrkfhehSOP1yPwvUoXLE/exSuR+F6sD9I4XoUrkepP+F6FK5H4ZI/AAAAAAAAAAA=", + "bdata": "gX0+TkoLmz/pVjuC8NSbP+2VK4YvxZ8/LWxcYJ+Poz+HolvtCMKzP7gehetRuJ4/UlrYuMA+nz+QBmmQBmmgPxh6oRd6oac/OSktbFxgrz/errp3SFShP9/DCnldpKI/x6evLQ4WpD9+Pk5KCxunP2QNo/2mPKc/FVABFVABpT/K0U8wOLamP5iESZiESag/NNXsZgggqj931b1DooqQP6tMZN5/l7E/IPiBH/iBrz+AaO5MNbupP+HYWnpy9JM/AAAAAAAAAAA=", "dtype": "f8", "shape": "5, 5" } @@ -1939,8 +2002,8 @@ " n = 5, \n", " width = 900 , \n", " height = 600, \n", - " # save = False\n", - ")\n" + " save = False\n", + ")" ] }, { @@ -1985,7 +2048,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 48, "metadata": {}, "outputs": [], "source": [ @@ -2001,7 +2064,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ @@ -2017,30 +2080,30 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 50, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 5400, effective sample size = 39, ratio of the maximum singilar value over the minimum singular value = 3426.67\n", - "phase 2: number of correlated samples = 5400, effective sample size = 42, ratio of the maximum singilar value over the minimum singular value = 175035\n" + "phase 1: number of correlated samples = 5400, effective sample size = 40, ratio of the maximum singilar value over the minimum singular value = 9312.33\n", + "phase 2: number of correlated samples = 5400, effective sample size = 41, ratio of the maximum singilar value over the minimum singular value = 79867.2\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "[5]maximum marginal PSRF: 2.26957\n" + "[5]maximum marginal PSRF: 2.26978\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "phase 3: number of correlated samples = 3300, effective sample size = 23\n", - "[5]total ess 104: number of correlated samples = 14100\n", + "phase 3: number of correlated samples = 3300, effective sample size = 24\n", + "[5]total ess 105: number of correlated samples = 14100\n", "\n", "\n" ] @@ -2052,7 +2115,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 51, "metadata": {}, "outputs": [ { @@ -2061,7 +2124,7 @@ "(1070, 14100)" ] }, - "execution_count": 30, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -2070,6 +2133,34 @@ "agora_samples.shape" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Contributing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In case you are interested in contributing, please have a thorough look on how to do so on our instructions [here](./CONTRIBUTING.md). \n", + "\n", + "Remember that if you are working on a codespace and you wish to contribute, the original `dingo` repo is under `/opt/dingo/`, while you are now working under `/workspaces/dingo`. \n", + "That means that if you wish to make changes and compile your code on the codespace before commiting a PR, you should make sure that you have:\n", + "\n", + "- `boost`\n", + "- `volest`\n", + "- `lp_solve`, and\n", + "- `eigein`\n", + "\n", + "under `/workspaces/dingo` too. Then, you can compile your edited code by simply running \n", + "\n", + "```\n", + "python setup.py install --user\n", + "```\n" + ] + }, { "cell_type": "markdown", "metadata": { From 4829a8cd4286da8f8338175da2cfb3ab87858a0b Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 10:03:11 +0000 Subject: [PATCH 14/18] attempt to fix Dockerfile building from current branch --- Dockerfile | 11 ++-- tutorials/dingo_tutorial.ipynb | 91 +++++++--------------------------- 2 files changed, 23 insertions(+), 79 deletions(-) diff --git a/Dockerfile b/Dockerfile index 76dccb5..86f9afb 100644 --- a/Dockerfile +++ b/Dockerfile @@ -29,14 +29,13 @@ RUN pip install matplotlib \ pyoptinterface[highs] # Get dingo -WORKDIR /opt -RUN git clone https://github.com/GeomScale/dingo.git &&\ - cd dingo &&\ - git submodule update --init +WORKDIR /workspaces/dingo +COPY . . -# Get lp-solve -WORKDIR /opt/dingo +# Get submodules +git submodule update --init +# Get lp-solve RUN wget https://sourceforge.net/projects/lpsolve/files/lpsolve/5.5.2.11/lp_solve_5.5.2.11_source.tar.gz &&\ tar xzvf lp_solve_5.5.2.11_source.tar.gz &&\ rm lp_solve_5.5.2.11_source.tar.gz diff --git a/tutorials/dingo_tutorial.ipynb b/tutorials/dingo_tutorial.ipynb index 8f1bcca..a5160a5 100644 --- a/tutorials/dingo_tutorial.ipynb +++ b/tutorials/dingo_tutorial.ipynb @@ -383,7 +383,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -1803,7 +1803,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 3, "metadata": { "id": "0y_TOtcGUmAW" }, @@ -1812,11 +1812,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 500, effective sample size = 8, ratio of the maximum singilar value over the minimum singular value = 1261.05\n", - "phase 2: number of correlated samples = 500, effective sample size = 164, ratio of the maximum singilar value over the minimum singular value = 1\n", - "phase 3: number of correlated samples = 2400, effective sample size = 790\n", - "phase 4: number of correlated samples = 500, effective sample size = 175\n", - "[4]total ess 1137: number of correlated samples = 3900\n", + "phase 1: number of correlated samples = 500, effective sample size = 12, ratio of the maximum singilar value over the minimum singular value = 1213.09\n", + "phase 2: number of correlated samples = 500, effective sample size = 111, ratio of the maximum singilar value over the minimum singular value = 2.13518\n", + "phase 3: number of correlated samples = 2400, effective sample size = 884\n", + "[4]total ess 1007: number of correlated samples = 3400\n", "\n", "\n" ] @@ -1825,7 +1824,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "[4]maximum marginal PSRF: 1.00183\n" + "[4]maximum marginal PSRF: 1.00611\n" ] } ], @@ -1940,59 +1939,19 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 4, "metadata": {}, "outputs": [ { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - "type": "surface", - "z": { - "bdata": "gX0+TkoLmz/pVjuC8NSbP+2VK4YvxZ8/LWxcYJ+Poz+HolvtCMKzP7gehetRuJ4/UlrYuMA+nz+QBmmQBmmgPxh6oRd6oac/OSktbFxgrz/errp3SFShP9/DCnldpKI/x6evLQ4WpD9+Pk5KCxunP2QNo/2mPKc/FVABFVABpT/K0U8wOLamP5iESZiESag/NNXsZgggqj931b1DooqQP6tMZN5/l7E/IPiBH/iBrz+AaO5MNbupP+HYWnpy9JM/AAAAAAAAAAA=", - "dtype": "f8", - "shape": "5, 5" - } - } - ], - "layout": { - "height": 600, - "margin": { - "b": 30, - "l": 30, - "r": 30, - "t": 50 - }, - "scene": { - "xaxis": { - "title": { - "text": "biomass" - } - }, - "yaxis": { - "title": { - "text": "nh4" - } - }, - "zaxis": { - "title": { - "text": "prob, mass" - } - } - }, - "title": { - "text": "Copula between biomass and nh4" - }, - "width": 900 - } - } - }, - "metadata": {}, - "output_type": "display_data" + "ename": "TypeError", + "evalue": "plot_copula() got an unexpected keyword argument 'save'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[4], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mdingo\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43millustrations\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mplot_copula\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2\u001b[0m \u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43msuboptimal_steady_states\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m24\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mbiomass\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 3\u001b[0m \u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43msuboptimal_steady_states\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m58\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mnh4\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 4\u001b[0m \u001b[43m \u001b[49m\u001b[43mn\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m5\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[43m \u001b[49m\u001b[43mwidth\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m900\u001b[39;49m\u001b[43m \u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 6\u001b[0m \u001b[43m \u001b[49m\u001b[43mheight\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m600\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 7\u001b[0m \u001b[43m \u001b[49m\u001b[43msave\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\n\u001b[1;32m 8\u001b[0m \u001b[43m)\u001b[49m\n", + "\u001b[0;31mTypeError\u001b[0m: plot_copula() got an unexpected keyword argument 'save'" + ] } ], "source": [ @@ -2144,21 +2103,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In case you are interested in contributing, please have a thorough look on how to do so on our instructions [here](./CONTRIBUTING.md). \n", - "\n", - "Remember that if you are working on a codespace and you wish to contribute, the original `dingo` repo is under `/opt/dingo/`, while you are now working under `/workspaces/dingo`. \n", - "That means that if you wish to make changes and compile your code on the codespace before commiting a PR, you should make sure that you have:\n", - "\n", - "- `boost`\n", - "- `volest`\n", - "- `lp_solve`, and\n", - "- `eigein`\n", - "\n", - "under `/workspaces/dingo` too. Then, you can compile your edited code by simply running \n", - "\n", - "```\n", - "python setup.py install --user\n", - "```\n" + "In case you are interested in contributing, please have a thorough look on how to do so on our instructions [here](./CONTRIBUTING.md)." ] }, { From 7c7f256f40de234bfc4862a2ea454ed92fd7738a Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 10:07:43 +0000 Subject: [PATCH 15/18] fix silly error --- Dockerfile | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Dockerfile b/Dockerfile index 86f9afb..186a928 100644 --- a/Dockerfile +++ b/Dockerfile @@ -33,7 +33,7 @@ WORKDIR /workspaces/dingo COPY . . # Get submodules -git submodule update --init +RUN git submodule update --init # Get lp-solve RUN wget https://sourceforge.net/projects/lpsolve/files/lpsolve/5.5.2.11/lp_solve_5.5.2.11_source.tar.gz &&\ From a72917ce155deafcd9ab9c066328e9eae988ffe9 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 11:00:02 +0000 Subject: [PATCH 16/18] sampling with other than MMCS --- tutorials/dingo_tutorial.ipynb | 440 ++++++++++++++++++++++++--------- 1 file changed, 325 insertions(+), 115 deletions(-) diff --git a/tutorials/dingo_tutorial.ipynb b/tutorials/dingo_tutorial.ipynb index a5160a5..e8ebd9b 100644 --- a/tutorials/dingo_tutorial.ipynb +++ b/tutorials/dingo_tutorial.ipynb @@ -25,7 +25,9 @@ "id": "-IBI5DoLMDCn" }, "source": [ - "The aim of this notebook is to highlight the importance of metabolic networks analysis and the insight it may provide, as well as to demonstrate how to use the `dingo` Python library for the analysis of metabolic networks.\n" + "The aim of this notebook is to highlight the importance of metabolic networks analysis and the insight it may provide, as well as to demonstrate how to use the `dingo` Python library for the analysis of metabolic networks.\n", + "\n", + "In case, notebook asks you for which environment to be used, click on the Python 3.10.19.\n" ] }, { @@ -35,7 +37,6 @@ "To install `dingo` locally, please follow instructions [here](../README.md#installation-on-linux).\n", "\n", "Currently, `dingo` is available on Linux systems. \n", - "\n", "If you use MacOS or Windows, you may run `dingo` as a container, following instructions [here](../README.md#using-dingo-as-a-docker-container)." ] }, @@ -138,7 +139,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -157,7 +158,7 @@ "" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -383,7 +384,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -417,7 +418,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": { "id": "NNSJM_Z3McSs" }, @@ -447,7 +448,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -482,7 +483,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -516,7 +517,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -537,7 +538,7 @@ " [ 0., 0., -1., ..., 0., 0., 0.]], shape=(72, 95))" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -557,7 +558,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -572,7 +573,7 @@ "(72, 95)" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -592,7 +593,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -612,7 +613,7 @@ " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -633,7 +634,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -649,7 +650,7 @@ "'BIOMASS_Ecoli_core_w_GAM'" ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -667,7 +668,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -683,7 +684,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -692,7 +693,7 @@ "('BIOMASS_Ecoli_core_w_GAM', 24)" ] }, - "execution_count": 15, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -716,7 +717,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -742,7 +743,7 @@ " 0. , 0. , 0. , 0. , -0.129 , -0.205 ])" ] }, - "execution_count": 16, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -764,7 +765,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -779,7 +780,7 @@ "(72,)" ] }, - "execution_count": 17, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -799,7 +800,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -814,7 +815,7 @@ "72" ] }, - "execution_count": 18, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -852,7 +853,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -870,7 +871,7 @@ " 'solver': None}" ] }, - "execution_count": 19, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -901,7 +902,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": { "id": "kWFbcJumShgh" }, @@ -925,7 +926,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -985,7 +986,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -994,7 +995,7 @@ "'PFK'" ] }, - "execution_count": 22, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -1005,7 +1006,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -1023,7 +1024,7 @@ " \n", " \n", " Memory address\n", - " 0x778621344460\n", + " 0x73916e7e38b0\n", " \n", " Stoichiometry\n", " \n", @@ -1047,10 +1048,10 @@ " " ], "text/plain": [ - "" + "" ] }, - "execution_count": 23, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -1061,7 +1062,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": { "id": "fdLlAbhA0Ylg" }, @@ -1083,7 +1084,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": { "id": "jrASE_SS2Nst" }, @@ -1103,7 +1104,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1123,7 +1124,7 @@ " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" ] }, - "execution_count": 26, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -1152,7 +1153,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "metadata": { "id": "f11M0AClnfhZ" }, @@ -1163,7 +1164,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 29, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1230,7 +1231,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 30, "metadata": { "id": "AK5OdFU4yZZL" }, @@ -1259,7 +1260,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "metadata": { "id": "Mk-CtSOJLWo8" }, @@ -1291,7 +1292,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -1325,7 +1326,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 33, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1398,7 +1399,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 34, "metadata": { "id": "HHXSrEelXh4o" }, @@ -1432,37 +1433,30 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 500, effective sample size = 19, ratio of the maximum singilar value over the minimum singular value = 965.085\n", - "phase 2: number of correlated samples = 500, effective sample size = 5, ratio of the maximum singilar value over the minimum singular value = 220.167\n", - "phase 3: number of correlated samples = 500, effective sample size = 4, ratio of the maximum singilar value over the minimum singular value = 198.125\n", - "phase 4: number of correlated samples = 500, effective sample size = 23, ratio of the maximum singilar value over the minimum singular value = 66.7481\n", - "phase 5: number of correlated samples = 500, effective sample size = 181, ratio of the maximum singilar value over the minimum singular value = 2.93347\n", - "phase 6: number of correlated samples = 2000, effective sample size = 783[3]total ess 996: number of correlated samples = 4000\n", + "phase 1: number of correlated samples = 500, effective sample size = 6, ratio of the maximum singilar value over the minimum singular value = 1114.25\n", + "phase 2: number of correlated samples = 500, effective sample size = 8, ratio of the maximum singilar value over the minimum singular value = 129.393\n", + "phase 3: number of correlated samples = 500, effective sample size = 4, ratio of the maximum singilar value over the minimum singular value = 267.76\n", + "phase 4: number of correlated samples = 500, effective sample size = 42, ratio of the maximum singilar value over the minimum singular value = 68.078\n", + "phase 5: number of correlated samples = 500, effective sample size = 181, ratio of the maximum singilar value over the minimum singular value = 3.22454\n", + "phase 6: number of correlated samples = 500, effective sample size = 153, ratio of the maximum singilar value over the minimum singular value = 2.49271\n", + "phase 7: number of correlated samples = 1300, effective sample size = 625\n", + "[4]total ess 1019: number of correlated samples = 4300\n", "\n", - "\n", - "phase 7: number of correlated samples = 100, effective sample size = 36" + "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "\n", - " [1]maximum marginal PSRF: 1.27393\n", - "[2]maximum marginal PSRF: 1.13917\n", - "[2]total ess: 996\n", - "[3]maximum marginal PSRF: 1.13917\n", - "\n", - " [1]maximum marginal PSRF: 1.12603\n", - "[2]maximum marginal PSRF: 1.03599\n", - "[2]total ess: 1027\n" + "[4]maximum marginal PSRF: 1.02734\n" ] } ], @@ -1492,7 +1486,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 36, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1526,7 +1520,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 37, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1539,7 +1533,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Number of flux values of the flux distributions returned: 3600\n" + "Number of flux values of the flux distributions returned: 4300" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" ] } ], @@ -1556,16 +1557,16 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(np.float64(0.8739210000081289), np.float64(0.8739211658059067))" + "(np.float64(0.8739210000061962), np.float64(0.8739211381746426))" ] }, - "execution_count": 37, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -1583,7 +1584,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 39, "metadata": {}, "outputs": [ { @@ -1665,10 +1666,10 @@ "" ], "text/plain": [ - "" + "" ] }, - "execution_count": 38, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -1688,7 +1689,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 40, "metadata": {}, "outputs": [ { @@ -1697,7 +1698,7 @@ "46" ] }, - "execution_count": 39, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -1708,12 +1709,12 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 41, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1747,7 +1748,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 42, "metadata": {}, "outputs": [ { @@ -1756,7 +1757,7 @@ "'SUCDi'" ] }, - "execution_count": 41, + "execution_count": 42, "metadata": {}, "output_type": "execute_result" } @@ -1768,12 +1769,12 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 43, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1803,7 +1804,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 44, "metadata": { "id": "0y_TOtcGUmAW" }, @@ -1812,10 +1813,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 500, effective sample size = 12, ratio of the maximum singilar value over the minimum singular value = 1213.09\n", - "phase 2: number of correlated samples = 500, effective sample size = 111, ratio of the maximum singilar value over the minimum singular value = 2.13518\n", - "phase 3: number of correlated samples = 2400, effective sample size = 884\n", - "[4]total ess 1007: number of correlated samples = 3400\n", + "phase 1: number of correlated samples = 500, effective sample size = 20, ratio of the maximum singilar value over the minimum singular value = 953.346\n", + "phase 2: number of correlated samples = 500, effective sample size = 157, ratio of the maximum singilar value over the minimum singular value = 2.09486\n", + "phase 3: number of correlated samples = 2400, effective sample size = 853\n", + "[4]total ess 1030: number of correlated samples = 3400\n", "\n", "\n" ] @@ -1824,7 +1825,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "[4]maximum marginal PSRF: 1.00611\n" + "[4]maximum marginal PSRF: 1.00196\n" ] } ], @@ -1846,12 +1847,12 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 45, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -1889,7 +1890,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -1898,7 +1899,7 @@ "58" ] }, - "execution_count": 45, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -1919,7 +1920,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 47, "metadata": {}, "outputs": [ { @@ -1928,7 +1929,7 @@ "'BIOMASS_Ecoli_core_w_GAM'" ] }, - "execution_count": 46, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } @@ -1939,19 +1940,59 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 48, "metadata": {}, "outputs": [ { - "ename": "TypeError", - "evalue": "plot_copula() got an unexpected keyword argument 'save'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[4], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mdingo\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43millustrations\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mplot_copula\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2\u001b[0m \u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43msuboptimal_steady_states\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m24\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mbiomass\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 3\u001b[0m \u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[43msuboptimal_steady_states\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m58\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mnh4\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 4\u001b[0m \u001b[43m \u001b[49m\u001b[43mn\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m5\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[43m \u001b[49m\u001b[43mwidth\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m900\u001b[39;49m\u001b[43m \u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 6\u001b[0m \u001b[43m \u001b[49m\u001b[43mheight\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m600\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 7\u001b[0m \u001b[43m \u001b[49m\u001b[43msave\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\n\u001b[1;32m 8\u001b[0m \u001b[43m)\u001b[49m\n", - "\u001b[0;31mTypeError\u001b[0m: plot_copula() got an unexpected keyword argument 'save'" - ] + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "type": "surface", + "z": { + "bdata": "/5gyzGX/mD9QHOm1gk+cP52cnJycnJw/X5LF+Ctfoj+JVSLvu4i1P4Qdt1Dqg50/kZCQkJCQoD+RkJCQkJCgPxUVFRUVFaU/t1Dqgx23sD8SEhISEhKiP5GQkJCQkKA/VFRUVFRUpD+BGrRN54CqP+9UuyGI7qQ/71S7IYjupD/vVLshiO6kP+cZTYCz5qk/qt0QRHeqrT/hE0d6reCDPxISEhISErI/F7FK5H0XsT9MGeayf0ypPxsbGxsbG4s/AAAAAAAAAAA=", + "dtype": "f8", + "shape": "5, 5" + } + } + ], + "layout": { + "height": 600, + "margin": { + "b": 30, + "l": 30, + "r": 30, + "t": 50 + }, + "scene": { + "xaxis": { + "title": { + "text": "biomass" + } + }, + "yaxis": { + "title": { + "text": "nh4" + } + }, + "zaxis": { + "title": { + "text": "prob, mass" + } + } + }, + "title": { + "text": "Copula between biomass and nh4" + }, + "width": 900 + } + } + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -1965,6 +2006,173 @@ ")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sampling with other walks" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "model = dingo.MetabolicNetwork.from_sbml('../ext_data/e_coli_core.xml')\n", + "sampler = dingo.PolytopeSampler(model)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One may use the `generate_steady_states_no_multiphase()` attribute of the `PolytopeSampler` class, to sample steady states using another walk instead of our Multiphase Monte Carlo Sampling (MMCS) algorithm." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Using the `method` argument, you may choose an MCMC method of the following to sample with: \n", + "\n", + "- `billiard_walk`\n", + "- `cdhr`\n", + "- `rdhr`\n", + "- `ball_walk`\n", + "- `dikin_walk`\n", + "- `john_walk`\n", + "- `vaidya_walk`\n", + "- `gaussian_hmc_walk`\n", + "- `exponential_hmc_walk`\n", + "- `hmc_leapfrog_gaussian`\n", + "- `hmc_leapfrog_exponential`\n", + "\n", + "You can also specify the number of steady states to sample (`n`)\n", + "and the number of points to burn before sampling (`burn_in`)\n", + "and the walk length of the chain `thinning`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bw_samples = sampler.generate_steady_states_no_multiphase(method = \"ball_walk\", n = 1000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Last, one may first export the polytope that derives from the model under study" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((26, 24), (26,), (95, 24), (95,))" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "polytope = sampler.get_polytope()\n", + "A, b, N, N_shift = polytope\n", + "\n", + "A.shape, b.shape, N.shape, N_shift.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And then use the **full dimenesional** polytope directly to sample from" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "samples_from_p = dingo.PolytopeSampler.sample_from_polytope_no_multiphase(A, b, method = \"john_walk\", n = 1000, burn_in = 100, thinning = 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, in this case, your samples *live* in the full dimensional space as well, thus:" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(24, 1000)" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "samples_from_p.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "meaning you have a lower number of rows than the number of your model's reactions.\n", + "\n", + "Thus, you need to map your samples back to the low dimension space in order to get a flux value for each reaction:" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [], + "source": [ + "steady_states_samples_from_p = dingo.utils.map_samples_to_steady_states(samples_from_p, N, N_shift)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(95, 1000)" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "steady_states_samples_from_p.shape" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -2007,7 +2215,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ @@ -2023,7 +2231,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 50, "metadata": {}, "outputs": [], "source": [ @@ -2039,30 +2247,30 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "phase 1: number of correlated samples = 5400, effective sample size = 40, ratio of the maximum singilar value over the minimum singular value = 9312.33\n", - "phase 2: number of correlated samples = 5400, effective sample size = 41, ratio of the maximum singilar value over the minimum singular value = 79867.2\n" + "phase 1: number of correlated samples = 5400, effective sample size = 31, ratio of the maximum singilar value over the minimum singular value = 14429.6\n", + "phase 2: number of correlated samples = 5400, effective sample size = 40, ratio of the maximum singilar value over the minimum singular value = 65688.4\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "[5]maximum marginal PSRF: 2.26978\n" + "[5]maximum marginal PSRF: 2.20378\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "phase 3: number of correlated samples = 3300, effective sample size = 24\n", - "[5]total ess 105: number of correlated samples = 14100\n", + "phase 3: number of correlated samples = 4100, effective sample size = 33\n", + "[5]total ess 104: number of correlated samples = 14900\n", "\n", "\n" ] @@ -2074,16 +2282,16 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(1070, 14100)" + "(1070, 14900)" ] }, - "execution_count": 51, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -2144,7 +2352,9 @@ "\n", "* Chalkis Apostolos, Fisikopoulos Vissarion, Tsigaridas Elias and Zafeiropoulos Haris [\"Geometric Algorithms for Sampling the Flux Space of Metabolic Networks\"](https://drops.dagstuhl.de/opus/volltexte/2021/13820/pdf/LIPIcs-SoCG-2021-21.pdf)\n", "\n", - "* Schellenberger, Jan, and Bernhard Ø. Palsson. [\"Use of randomized sampling for analysis of metabolic networks.\"](https://doi.org/10.1074/jbc.R800048200) Journal of biological chemistry 284, no. 9 (2009): 5457-5461." + "* Schellenberger, Jan, and Bernhard Ø. Palsson. [\"Use of randomized sampling for analysis of metabolic networks.\"](https://doi.org/10.1074/jbc.R800048200) Journal of biological chemistry 284, no. 9 (2009): 5457-5461.\n", + "\n", + "* Chalkis Apostolos, Fisikopoulos Vissarion, Tsigaridas Elias and Zafeiropoulos Haris [\"dingo: a Python package for metabolic flux sampling\"](https://doi.org/10.1093/bioadv/vbae037). Bioinformatics Advances. 2024 Jan 1;4(1):vbae037." ] }, { From 2c3d6d6251f9c065df3b61242082a9621e0db5f7 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 14:41:40 +0000 Subject: [PATCH 17/18] rephrasing remember --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 997ddb0..55c8979 100644 --- a/README.md +++ b/README.md @@ -132,7 +132,7 @@ or, if you are using Gurobi, you may run: docker run --rm -it -v :/opt/gurobi/gurobi.lic -v :/data dingo ``` -> **Remember** for this use need the WLS Gurobi license. +> **Remember!** in this case, where `dingo` is run in a containerized environment and Gurobi is used as the solver, a standard node-locked Gurobi license would not work; a WLS license is typically required instead. > > This would look something like this: > From 303e57b9b68797d408f8684dd391dea8787cd082 Mon Sep 17 00:00:00 2001 From: Haris Zafeiropoulos Date: Fri, 24 Apr 2026 14:58:57 +0000 Subject: [PATCH 18/18] replace colab button with codespace --- README.md | 12 +++++++++--- 1 file changed, 9 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index 55c8979..6d2fb3b 100644 --- a/README.md +++ b/README.md @@ -11,9 +11,15 @@ metabolic network, namely Flux Balance Analysis and Flux Variability Analysis. `dingo` is part of [GeomScale](https://geomscale.github.io/) project. -[![unit-tests](https://github.com/GeomScale/dingo/workflows/dingo-ubuntu/badge.svg)](https://github.com/GeomScale/dingo/actions?query=workflow%3Adingo-ubuntu) -[![Tutorial In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/GeomScale/dingo/blob/develop/tutorials/dingo_tutorial.ipynb) -[![Chat](https://badges.gitter.im/geomscale.png)](https://gitter.im/GeomScale/community?utm_source=share-link&utm_medium=link&utm_campaign=share-link) + + + + + + + + + ## Installation