Pulse propagation in discrete systems of coupled excitable cells
Propagation of pulses in myelinated fibers may be described by appropriate solutions of spatially discrete FitzHugh-Nagumo systems. In these systems, propagation failure may occur if either the coupling between nodes is not strong enough or the recovery is too fast. We give an asymptotic constructio...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57208 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57208 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 519.2 Discrete reaction-diffusion equations Traveling wave pulses Propagation failure Spatially discrete FitzHugh–Nagumo system Estadística matemática (Matemáticas) Ecuaciones diferenciales 1209 Estadística 1202.07 Ecuaciones en Diferencias |
| Sumario: | Propagation of pulses in myelinated fibers may be described by appropriate solutions of spatially discrete FitzHugh-Nagumo systems. In these systems, propagation failure may occur if either the coupling between nodes is not strong enough or the recovery is too fast. We give an asymptotic construction of pulses for spatially discrete FitzHugh-Nagumo systems, which agrees well with numerical simulations, and discuss the evolution of initial data into pulses and pulse generation at a boundary. Formulas for the speed and length of pulses are also obtained. |
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