Stochastic shielding and edge importance for Markov chains with timescale separation.

ABSTRACT: Nerve cells produce electrical impulses ("spikes") through the coordinated opening and closing of ion channels. Markov processes with voltage-dependent transition rates capture the stochasticity of spike generation at the cost of complex, time-consuming simulations. Schmandt and Galán introduced a novel method, based on the stochastic shielding approximation, as a fast, accurate method for generating approximate sample paths with excellent first and second moment agreement to exact stochastic simulations. We previously analyzed the mathematical basis for the method's remarkable accuracy, and showed that for models with a Gaussian noise approximation, the stationary variance of the occupancy at each vertex in the ion channel state graph could be written as a sum of distinct contributions fr

SUBMITTER: Schmidt DR 

PROVIDER: S-EPMC6023243 | biostudies-literature | 2018 Jun

REPOSITORIES: biostudies-literature