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20242026
most citedInteraction and adiabatic evolution of orthodromic and antidromic impulses in the axoplasmic fluid

3 citations · 3 across the 5 of their papers we have counts for

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5 papers

physics.bio-ph2026

Supersymmetric pairing of Lambert W-kink nerve impulses

M. F. De la Rosa-López, D. M. Galván-Arellano, J. L. Larios-Ferrer +2

Nerve impulses can be modelled as electromechanical density waves within the improved Heimburg-Jackson model. The inclusion of higher-order polynomial nonlinearities leads to a gen…

physics.bio-ph2025

Lambert W-kink Solitons Arising from Higher-Order Nonlinearities of Lipid Membranes

V. A. Mendoza-Millán, J. L. Larios-Ferrer, J. Samuel Millán +1

Accurate modelling of nerve impulse propagation requires accounting for strong higher-order nonlinearities in membrane dynamics, as incorporated in the extended Heimburg-Jackson mo…

physics.bio-ph2024

Quasi-stationary evolution of cubic-quintic NLSE drop-like solitons in DNA-protein systems

O. Pavón-Torres, J. R. Collantes-Collantes, M. A. Agüero-Granados

Nonlinear molecular excitations in DNA have traditionally been modelled using the nonlinear Schrödinger equation (NLSE). An alternative approach is based on the plane-base rotator…

nlin.PS2024

Adiabatic evolution of solitons embedded on lipid membranes

O. Pavón-Torres, M. A. Agüero-Granados, R. Valencia-Torres

The Heimburg-Jackson model, or thermodynamic soliton theory of nervous impulses, has a well-established record as an alternative model for studying the dynamics of nerve impulses a…

nlin.PS2024★ 3 cited

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

O. Pavón-Torres, M. A. Agüero-Granados, M. E. Maguiña-Palma

Unlike expected from the Hodgkin-Huxley model predictions, in which there is annihilation once orthodromic and antidromic impulses collide, the Heimburg-Jackson model demonstrates…