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arXiv · 2405.19370

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

O. Pavón-Torres·M. A. Agüero-Granados·M. E. Maguiña-Palma
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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 NLSE. In view of the above, the Karpman-Solov'ev-Maslov perturbation theory turns out to be ideal to study the interaction and adiabatic evolution of orthodromic and antidromic impulses once axoplasmic fluid is present.

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O. Pavón-Torres, M. A. Agüero-Granados, M. E. Maguiña-Palma. 2024-05-27. Interaction and adiabatic evolution of orthodromic and antidromic impulses in the axoplasmic fluid. https://doi.org/10.1016/j.physleta.2024.129740

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