Artículos en revistas:
Mathematical analysis of a model of chemotaxis arising from morphogenesis.
Año:2012
Áreas de investigación
- Matemáticas
Datos
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Descripción
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| We consider non-negative solution couples (u, v) to a system of PDEs in the spatial domain is the interval (0,1). This system appears as a limit case of a model for morphogenesis proposed by Bollenbach et al. (Phys. Rev. E. 75, 2007). Under suitable boundary conditions, mod- eling the presence of a morphogen source at x=0, we prove the existence of a global and bounded weak solution using an approximation by problems where diffusion is introduced in the ordinary differential equation. Moreover, we prove the convergence of the solution to the unique steady state provided that chemotaxis sensitivity is small and the reaction term is large enough. Numerical simulations both illustrate these results and give rise to further conjectures on the solution behavior that go beyond the rigorously proved statements. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Mathematical Methods in the Applied Sciences |
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ISSN
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0170-4214 |
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Factor de impacto JCR
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0,743 |
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Información de impacto
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Volumen
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35 |
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DOI
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10.1002/mma.1573 |
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Número de revista
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Desde la página
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445 |
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Hasta la página
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465 |
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Mes
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SIN MES |
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Ranking
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JCR |
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Esta actividad pertenece a memorias de investigación
Participantes
- Autor: Jose Ignacio Tello Del Castillo UPM
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
- Creador: Departamento: Matemática Aplicada (E.U. Informática)