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• W2792509099 abstract "Unlike the Hodgkin-Huxley picture in which the nerve impulse results from ion exchanges across the cell membrane through ion-gate channels, in the so-called soliton model the impulse is seen as an electromechanical process related to thermodynamical phenomena accompanying the generation of the action potential. In this work, account is taken of the effects of damping on the nerve impulse propagation, within the framework of the soliton model. Applying the reductive perturbation expansion on the resulting KdV-Burgers equation, a damped nonlinear Schrödinger equation is derived and shown to admit breathing-type solitary wave solutions. Under specific constraints, these breathing pulse solitons become self-trapped structures in which the damping is balanced by nonlinearity such that the pulse amplitude remains unchanged even in the presence of damping." @default.
• W2792509099 created "2018-03-29" @default.
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• W2792509099 date "2018-01-17" @default.
• W2792509099 modified "2023-10-04" @default.
• W2792509099 title "Breathing pulses in the damped-soliton model for nerves" @default.
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• W2792509099 doi "https://doi.org/10.1103/physreve.97.012211" @default.
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