ModelDB: Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011)

Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011)

Accession: 138950

A Matlab gui for simulating different channel noise models using the Hodgkin-Huxley equations. Methods provided and reviewed in Goldwyn and Shea-Brown (2011) are: current noise, subunit noise, conductance noise, and Markov chain, as well as the standard deterministic Hodgkin-Huxley model.
Reference: Goldwyn JH, Shea-Brown E (2011) The what and where of adding channel noise to the Hodgkin-Huxley Equations. PLoS Computational Biology 7(11):e1002247 [PubMed]

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Model Information (Click on a link to find other models with that property)

Model Type:	Neuron or other electrically excitable cell;
Brain Region(s)/Organism:
Cell Type(s):	Hodgkin-Huxley neuron;
Channel(s):
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment:	MATLAB;
Model Concept(s):	Action Potential Initiation; Ion Channel Kinetics; Action Potentials;
Implementer(s):	Goldwyn, Joshua [jgoldwyn at uw.edu];

Model files

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GoldwynShea-Brown2011

ReadMe File for Matlab code that accompanies:

JH Goldwyn and E Shea-Brown (2011). The what and where of channel
noise in the Hodgkin-Huxley equations.

Contents:

* RunHH_gui.m -- a user-friendly gui that generates spike trains for
  deterministic HH equations, Markov chain versions of HH equations,
  and the stochastic versions reviewed in the paper
* StochasticHH_func -- matlab functions that solve HH, stochastic
  versions of HH, and Markov chain version of HH using Euler method,
  Euler-Maruyama, and Gillespie methods.

Examples:

1) Run Gui
>> RunHH_gui

2) Solve HH equations with subunit noise and plot results in command line
>> Y = Y = StochasticHH_func([0:0.01:100], @(t) 0, [], 100,'Subunit');
>> plot(Y(:,1), Y(:,2)), title('Voltage vs. Time')
>> plot(Y(:,1), Y(:,3)), title('Fraction of Open Na channels vs. Time')
>> plot(Y(:,1), Y(:,4)), title('Fraction of Open K channels vs. Time')

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