Stochastic modeling of excitable dynamics: improved Langevin model for mesoscopic channel noise

Abstract

Influence of mesoscopic channel noise on excitable dynamics of living cells became a hot subject within the last decade, and the traditional biophysical models of neuronal dynamics such as Hodgkin-Huxley model have been generalized to incorporate such effects. There still exists but a controversy on how to do it in a proper and computationally efficient way. Here we introduce an improved Langevin description of stochastic Hodgkin-Huxley dynamics with natural boundary conditions for gating variables. It consistently describes the channel noise variance in a good agreement with discrete state model. Moreover, we show by comparison with our improved Langevin model that two earlier Langevin models by Fox and Lu also work excellently starting from several hundreds of ion channels upon imposing numerically reflecting boundary conditions for gating variables.Comment: V.M. Mladenov and P.C. Ivanov (Eds.): NDES 2014, Communications in Computer and Information Science, vol. 438 (Springer, Switzerland, 2014), pp. 325-33