Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates
In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-di®usion models obtained from the Martiel-Goldbeter and Goldbeter-Segel's models of cAMP signalling in Dictyostelium discoideum. As a consequence, we derive analytic formulae for qua...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49674 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49674 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 Singular perturbation methods Travelling waves Reaction-diffusion systems Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-di®usion models obtained from the Martiel-Goldbeter and Goldbeter-Segel's models of cAMP signalling in Dictyostelium discoideum. As a consequence, we derive analytic formulae for quantities like wave speed, maximum concentration and other magnitudes in terms of the di®erent biochemical constants that appear in the model. |
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