Wave-Pinning by Global Feedback in the Bistable Schlagl Model
In this work, we introduce a wave-pinning mechanism in the bistable Schlögl model. Wave-pinning is induced by dynamically varying the unstable fixed point with a spatial global feedback. We present numerical simulations of the model in one and two dimensions for typical parameter values. The wave-p...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión borrador |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/378046 |
| Acceso en línea: | http://hdl.handle.net/2072/378046 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemàtiques 51 |
| Sumario: | In this work, we introduce a wave-pinning mechanism in the bistable Schlögl model. Wave-pinning is induced by dynamically varying the unstable fixed point with a spatial global feedback. We present numerical simulations of the model in one and two dimensions for typical parameter values. The wave-pinning mechanism presented here can be used to reproduce the limited presence of phosphatidylinositol (3,4,5)-trisphosphate (PIP3) in the membrane of Dictyostelium discoideum cells, which plays a crucial role in the polarization and motility of the cell. |
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