The Peculiarity of A Nervous Pulse Propagation

Abstract

In the work, transmission of nerve impulses along nerve fibers is simulated. Research is being conducted in the framework of the electrical theory of propagation of the action potential. The soliton approach is used. The numerical experiment on the evolution of the nerve impulse and the laws of motion is conducted. It is shown that the stable form of nerve impulses solitons is realized under different initial conditions. The threshold character of occurrence of nerve pulse is simulated. It is shown that the number of pulses produced changes depending on the degree of nonlinearity: with strong initial excitation of large amplitude soliton is unstable; it breaks up into a multitude number of solitons with small ampli- tudes. In this case, the greater the nonlinearity parameter, the greater the number of births of solitons. Unusual solitonlike regimes of interaction of nonlinear pulses excitations are illustrated; in certain anomalies, colliding nerve impulses are re- flected instead of their usual quenching. The possibility of the decay of the nerve impulse at the bifurcation of the nerve fibers or the appearance of heterogeneity of the passing of a nerve impulse (the presence of dissipation in the environment) is investigated. Physical modeling allows obtaining and studying the analytical results and elucidating the physical prin- ciples of biological processes.