Interaction and adiabatic evolution of orthodromic and antidromic impulses in the axoplasmic fluid
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| Format: | Preprint |
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2024
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| _version_ | 1866911976524873728 |
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| author | Pavón-Torres, O. Agüero-Granados, M. A. Maguiña-Palma, M. E. |
| author_facet | Pavón-Torres, O. Agüero-Granados, M. A. Maguiña-Palma, M. E. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_19370 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interaction and adiabatic evolution of orthodromic and antidromic impulses in the axoplasmic fluid Pavón-Torres, O. Agüero-Granados, M. A. Maguiña-Palma, M. E. Pattern Formation and Solitons 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. |
| title | Interaction and adiabatic evolution of orthodromic and antidromic impulses in the axoplasmic fluid |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2405.19370 |