Artículo
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
Autor/es | Delgado Delgado, Manuel
Gayte Delgado, María Inmaculada Morales Rodrigo, Cristian Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2010-01-01 |
Fecha de depósito | 2016-04-20 |
Publicado en |
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Resumen | In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. The problem includes a chemotaxis type term and a nonlinear boundary condition at the tumor boundary. ... In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. The problem includes a chemotaxis type term and a nonlinear boundary condition at the tumor boundary. We show that the parabolic problem admits a unique positive global in time solution. Moreover, by bifurcation methods, we show the existence of coexistence states and also we study the local stability of the semi-trivial states. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | MTM2006-07932 |
Cita | Delgado Delgado, M., Gayte Delgado, M.I., Morales Rodrigo, C. y Suárez Fernández, A. (2010). An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary. |
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