Asymptotic properties of reaction-diffusion systems modeling chemotaxis
This paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of s...
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/60761 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/60761 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.956.4 51-76 Biomatemáticas Ecuaciones diferenciales 2404 Biomatemáticas 1202.07 Ecuaciones en Diferencias |
| Sumario: | This paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of single point aggregations of the cells. Results are discussed for 2 and 3 space dimensions. Asymptotic computations yield information on the manner of the blow-up. |
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