Implementation of stochastic noise in a Hodgkin-Huxley model but as a current

nvar
Fri, 23 Sep 2022 16:41:34 +0000
Science, Projects, and Showcases

Hi all! As the title suggests, I am curious if anyone has coded a model using stochastic noise as a current instead of a voltage.

The provided example G = NeuronGroup(10, 'dv/dt = -v/tau + sigma*sqrt(2/tau)*xi : volt') is a very nice representation for when the noise is added as a voltage. However, what if in a Hodgkin-Huxley model we have to model noise as a Gaussian with (let’s say) a mean mu=0 and a variance of sigma=10*pA? What would be the proper syntax?

The reason I am stumped is the tau in the sqrt; tau should be equal to Cm/gL correct? It’s not trivial for me to see how a current source would be modeled… Thanks in advance!

P.S. I have checked the relevant links here about modeling noise using randn(). It would be great to add to the discussion the current noise too!

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