Saturday, February 4, 2017

System-size expansion and Gaussian moment closure for Quiescent-Active-Refractory model

Epilogue: These notes concern the system size expansion and moment closure later published as "Neural field models for latent state inference: Application to large-scale neuronal recordings[pdf] (more) 

These notes derive the Kramers-Moyal system size expansion and approximate equation for the evolution of means and covariances of a single-compartment neural mass model with Quiescent (Q), Active (A), and Refractory (R) states. The derivations here are identical to the standard ones for the Susceptible (S), Infected (I), and Recovered (R) (SIR) model commonly used in epidemiology. 

[get these notes as PDF]