Interaction and adiabatic evolution of orthodromic and antidromic impulses in the axoplasmic fluid

Abstract

Unlike expected from the Hodgkin-Huxley model predictions, in which there is annihilation once orthodromic and antidromic impulses collide, the Heimburg-Jackson model demonstrates that both impulses penetrate each other as it has been shown experimentally. These impulses can be depicted as low amplitude nonlinear excitations in a weakly dissipative soliton model described by the damped nonlinear Schrödinger equation. In view of the above, the Karpman-Maslov-Solov'ev perturbation theory turns out to be ideal to study the interaction and adiabatic evolution of orthodromic and antidromic impulses once axoplasmic fluid is present.