Signal propagation in nerve fiber - art. no. 653517

In this paper the problem of signal propagation in nerve fiber is considered. Ohm losses and heat processes were taken into account. These permit to combine the two stages (metabolic and non-metabolic) of propagation and Na+ and K+ ions transmission through cell membrane due propagation. Electrodynamics of nerve fiber with losses is described by telegraph equations. Heat processes in fiber are described by an equation of entropy transfer. Ion motion at metabolic stage against the electro-chemical potential is described by negative conductance, responsible for the escape flow. The running-wave-type solutions of these equations are studied. An integral and an explicit solution of the given system are obtained. The solution represented by a series of quasi-harmonic pulses is investigated numerically. This proves the applicability of telegraph equation to the problem considered. Different types of solitary waves corresponding to various types of conductivity are also investigated.