Article
Long-time behavior of an angiogenesis model with flux at the tumor boundary
Author/s | Cieslak, Tomasz
Morales Rodrigo, Cristian |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2013-12 |
Deposit Date | 2016-09-19 |
Published in |
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Abstract | This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis taking into account only the interplay between tumor angiogenic factors and endothelial cells. ... This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis taking into account only the interplay between tumor angiogenic factors and endothelial cells. Considered model assumes a nonlinear flux at the tumor boundary and a nonlinear chemotactic response. It is proved that the choice of some key parameters influences the long-time behaviour of the system. More precisely, we show the convergence of solutions to different semi-trivial stationary states for different range of parameters. |
Project ID. | NN 201366937
MTM2009-12367 |
Citation | Cieslak, T. y Morales Rodrigo, C. (2013). Long-time behavior of an angiogenesis model with flux at the tumor boundary. Zeitschrift für Angewandte Mathematik und Physik, 64, 1625-1641. |
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