On the noise modelling in a nerve fiber

TL;DR

This paper introduces a new mathematical model for noise in nerve fibers, representing fluctuations as changes in membrane electric properties, differing from traditional stochastic current models.

Contribution

It presents a novel approach to model noise in nerve fibers by linking membrane fluctuations to dynamical systems, offering an alternative to Langevin-type equations.

Findings

Effective modeling of membrane noise as electric characteristic fluctuations

Demonstration of the approach on coupled Nagumo cells

Different from standard additive stochastic current models

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).