examples/benchmark_examples/birth_death.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using DelaySSAToolkit\n",
    "using Catalyst\n",
    "using Statistics\n",
    "using Test\n",
    "using BenchmarkTools\n",
    "using Symbolics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A birth-death example with delay degradation is defined as follows:\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&\\emptyset \\xrightarrow{C} X_A, \\\\\n",
    "&X_A \\xrightarrow{\\gamma} \\emptyset,\\\\\n",
    "&X_A \\xrightarrow{\\beta}  X_I, \\text{ which triggers  } X_I\\Rightarrow \\emptyset \\text{ after delay } \\tau,\\\\\n",
    "&X_I \\xrightarrow{\\gamma} \\emptyset.  \n",
    "\\end{aligned}\n",
    "$$\n",
    "Notice that the last reaction $X_I \\xrightarrow{\\gamma} \\emptyset$ causes the delay channel to change its state during a scheduled delay reaction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using JumpProcesses, Catalyst, DelaySSAToolkit\n",
    "rn = @reaction_network begin\n",
    "   C, 0 --> Xₐ\n",
    "   γ, Xₐ --> 0\n",
    "   β, Xₐ --> Xᵢ\n",
    "   γ, Xᵢ --> 0\n",
    "end C γ β\n",
    "jumpsys = convert(JumpSystem, rn, combinatoric_ratelaws = false);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "u0 = [0, 0]\n",
    "tf = 30.\n",
    "saveat = .1\n",
    "C, γ, β = [2., 0.1, 0.5]\n",
    "p = [C, γ, β]\n",
    "tspan = (0.,tf)\n",
    "dprob = DiscreteProblem(u0, tspan, p);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "τ = 15.\n",
    "delay_trigger_affect! = function (integrator, rng)\n",
    "   append!(integrator.de_chan[1], τ)\n",
    "end\n",
    "delay_trigger = Dict(3=>delay_trigger_affect!)\n",
    "delay_complete = Dict(1=>[2=>-1]) \n",
    "delay_affect! = function (integrator, rng)\n",
    "    i = rand(rng, 1:length(integrator.de_chan[1]))\n",
    "    deleteat!(integrator.de_chan[1],i)\n",
    "end\n",
    "delay_interrupt = Dict(4=>delay_affect!) \n",
    "delayjumpset = DelayJumpSet(delay_trigger,delay_complete,delay_interrupt)\n",
    "de_chan0 = [[]];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "medianlist=[]\n",
    "algo_list =[DelayDirect(),DelayRejection(),DelayMNRM(),DelayDirectCR()]\n",
    "for algo in algo_list\n",
    "    djprob = DelayJumpProblem(jumpsys,dprob,algo,delayjumpset, de_chan0, save_positions=(false,false))\n",
    "    bm = @benchmark solve($djprob, SSAStepper())\n",
    "    push!(medianlist,copy(median(bm).time/1e9))\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using Plots; theme(:vibrant)\n",
    "medianvalue=[string(round(mt,digits=7),\"s\") for mt in medianlist]\n",
    "algo_name = [\"DelayDirect\",\"DelayRejection\",\"DelayMNRM\",\"DelayDirectCR\"]\n",
    "bar(algo_name,medianlist,legend=:false,title=\"Birth-Death example with delay degradation\",ylabel=\"mediantime\")\n",
    "scatter!(algo_name, 7e-6 .+ medianlist , markeralpha=0,series_annotations=medianvalue)"
   ]
  }
 ],
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