Article
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
Author/s | Delgado Delgado, Manuel
Gayte Delgado, María Inmaculada Morales Rodrigo, Cristian Suárez Fernández, Antonio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2010-01-01 |
Deposit Date | 2016-04-20 |
Published in |
|
Abstract | 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | MTM2006-07932 |
Citation | 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
An angiogenesis model with ... | 261.0Kb | [PDF] | View/ | |