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Inferring connection proximity in electrically coupled networks (Cali et al. 2007)
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"Readme" file related to the NEURON package employed for the paper Inferring connection proximity in networks of electrically coupled cells by subthreshold frequency response analysis Corrado Cali'(1,2), Thomas K. Berger (1), Michele Pignatelli (1,3), Alan Carleton (3), Henry Markram (1) and Michele Giugliano (1) 1 Laboratory of Neural Microcircuitry, Brain Mind Institute, Ecole Polytechnique Federale de Lausanne (EPFL) 1015, Switzerland 2 Department of Electronics, Polytechnic of Turin, 10129 Turin, Italy 3 Flavour Perception Group, Brain Mind Institute, Ecole Polytechnique Federale de Lausanne (EPFL) 1015, Switzerland Corresponding author: Michele Giugliano, mgiugliano@gmail.com, http://www.giugliano.info --------------------------------------------------------------------- --------------------------------------------------------------------- This package is running with the NEURON simulation program written by Michael Hines and available on internet at: http://www.neuro.duke.edu/neuron/home.html It contains mechanisms (.mod files) and programs (.hoc files) needed to simulate the biophysical model, modified from the standard Hodgkin-Huxley model, as described in a contribution in press on the Journal of Computational Neuroscience. Electrical synapses are common in many brain structures such as the inferior olive, the subcoeruleus nucleus and the neocortex, between neurons and between glial cells. In the cortex, interneurons have been shown to be electrically coupled and proposed to participate in large, continuous cortical syncytia, as opposed to smaller spatial domains of electrically coupled cells. However, to explore the significance of these findings it is imperative to map the electrical synaptic microcircuits, in analogy with in vitro studies on monosynaptic and disynaptic chemical coupling. Since �walking� from cell to cell over large distances with a glass pipette is challenging, microinjection of (fluorescent) dyes diffusing through gap-junctions remains so far the only method available to decipher such microcircuits even though technical limitations exist. Based on circuit theory, we have derived analytical descriptions of the AC electrical coupling in networks of isopotential cells. We have then proposed an operative electrophysiological protocol to distinguish between direct electrical connections and connections involving one or more intermediate cells. This method allows inferring the number of intermediate cells, generalizing the conventional coupling coefficient, which provides limited information. We provide here some analysis and simulation scripts that used to test our method through computer simulations, in vitro recordings, theoretical and numerical methods. Key words: Gap-Junctions; Electrical Coupling; Networks; ZAP current; Impedance. List of files and directories and short description: runme.hoc [FILE] : the main control, definition, start-stop routine to launch the simulation! mechanisms [DIR] This directory contains hh2.mod (by A. Destexhe), Isin.mod and Izap.mod (both by M. Giugliano & C. Cali'). These are the mechanisms the user needs to compile (by mknrndll.exe, under Windows), to extend the repertoire of point-process available in NEURON, to perform ZAP-current and sinusoidal current stimulations. Refer to manuscript as well as to the header/comments of the *.mod files for further implementation details. mylibs [DIR] This directory contains several *.hoc file, to make the definition, run and output control of the simulation more user friendly (i.e. here "user-friendly" means easy for us, and hopefully for other beginners of NEURON like us). gap.hoc : template for a non-rectifying resistive gap junction (by M. Migliore) graphs.hoc : support functions for graphical display (by A. Destexhe and/or Z. Mainen ?) Izap_proc.hoc : Zap current injection (user-function) procedure [it refers, instantiate and use Izap.mod] filemanagement.hoc : convenient (for us) encapsulation of all the commands to prepare for data on output file.. write_on_disk.hoc : convenient (for us) encapsulation of all the commands to prepare for data on output file.. nsinglecompneuron.hoc : definition of the neuronal morphology, geometry and biophysics, to be later simulated.. ncellsgj.hoc : linking by electrical coupling (i.e. gap junctions) each cell defined by the above procedure.. output [DIR] This directory contains the raw (binary) data from each simulation run (i.e. the files chirp_0v_gj.x, chirp_1v_gj.x, chirp_2v_gj.x...), but also the MATLAB scripts (matlab/) needed to perform Fourier analysis, to estimate the transfer functions, and to fit a canonical of rational complex function with zeros and poles. This directory contains "plotme.m" a very simple script in MATLAB to quickly display the raw data produced by the simulation and look at the traces.. --------------------------------------------------------------------- --------------------------------------------------------------------- MATLAB: performing Fourier analysis and identifying a canonical model --------------------------------------------------------------------- --------------------------------------------------------------------- The subdirectory "output/matlab" contains all the necessary code to perform a two-steps analysis of the data produced by the simulations.. First one has to preprocess the data by calling the procedure 'preproc.m' and then invoke 'go_and_fit.m' to launch the optimzation. Description of the scripts and functions available: anneal.m --> Multidimensional constrained nonlinear minimization, based on the Metropolis algorithm, known as the Simulated Annealing Optimization. This function assumes the user created a matlab procedure to evaluate the "cost function" and it needs to have access to such a procedure to call it at each descent/random step. mycost.m : Cost function (see above). tfpreprocessing.m --> preprocessing core function , based on standard Fourier analysis techniques. It accepts from the user some parameters to specify which input and output waveforms need to be examined, the time axis as well as how many samples at the beginning and at the end of those waveforms should be discarded from the analysis. The function returns magnitude and phase of the transfer function, in the frequency domain computed by means of FFT algorithms. See the file SSPICE_readme.txt for information about SSPICE in this work.
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