Abstract

Recent studies have revealed the complex structure of nerve signals in axons. There is experimental evidence that the propagation of an electrical signal (action potential) is accompanied by mechanical and thermal effects. In this paper, first an overview is presented on experimental results and possible mechanisms of electromechanophysiological couplings which govern the signal formation in axons. This forms a basis for building up a mathematical model describing an ensemble of waves. Three physical mechanisms responsible for coupling are (i) electric-lipid bi-layer interaction resulting in the mechanical wave in biomembrane; (ii) electric-fluid interaction resulting in the mechanical wave in the axoplasm; (iii) electric-fluid interaction resulting in the temperature change in axoplasm. The influence of possible changes in variables which could have a role for interactions are analysed and the concept of internal variables introduced for describing the endothermic processes. The previously proposed mathematical model is modified reflecting the possible physical explanation of these interactions.

Highlights

  • The studies into the propagation of signals in nerves have a long history [1, 2], the research is going on

  • Many experiments have shown that the propagation of an action potential (AP) in a nerve fibre is accompanied by transverse displacements of the biomembrane which mean changes in the axon diameter [3,4,5]

  • We have proposed a mathematical model of nerve pulse propagation including the accompanying effects [18, 44]

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Summary

Introduction

The studies into the propagation of signals in nerves have a long history [1, 2], the research is going on. A brief overview on experimental results and proposed physical mechanisms of coupling is given and analysed within the framework of a robust mathematical model [18, 19]. On the basis of known experimental studies, the coupling forces are specified in more detail in order to reflect better the physics of the process. The mathematical model with coupling forces related to physical effects is described in Section 5 which enlarges our previous proposals [11, 18, 19].

Brief overview of experimental studies
Possible physical mechanisms of coupling
Modelling of coupled signals and coupling forces
Mathematical model with specified coupling forces
Discussion
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