On the noise modelling in a nerve fiber

2011/05/12 by Samoletov, A. A., Vasiev, B. N.
#Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Quantitative Methods (q-bio.QM)

paper · doi:10.48550/arxiv.1105.2396

Abstract

We present a novel mathematical approach to model noise in dynamical systems. We do so by considering dynamics of a chain of diffusively coupled Nagumo cells affected by noise. We show that the noise in transmembrane current can be effectively modelled as fluctuations in electric characteristics of the membrane. The proposed approach to model noise in a nerve fibre is different from the standard additive stochastic current perturbation (the Langevin type equations).

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