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

Pavón-Torres O.; Agüero-Granados M.A.; Maguiña-Palma M.E. · Physics Letters, Section A: General, Atomic and Solid State Physics (2024) · DOI: 10.1016/j.physleta.2024.129740

Resumen

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.

Instituciones: Universidad Privada Norbert Wiener