Artículo
A free boundary tumor model with time dependent nutritional supply
Autor/es | Sun, Wenlong
Caraballo Garrido, Tomás Han, Xiaoying Kloeden, Peter E. |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2020-06 |
Fecha de depósito | 2020-02-03 |
Publicado en |
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Resumen | A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential ... A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential equation describing the evolution of the tumor size. First the global existence and uniqueness of a transient solution is established under some general conditions. Then with additional regularity assumptions on the consumption and proliferation rates, the existence and uniqueness of steady-state solutions is obtained. Furthermore the convergence of the transient solutions toward the steady-state solution is verified. Finally the long time behavior of the solutions is investigated by transforming the time-dependent domain to a fixed domain. |
Identificador del proyecto | MTM2015-63723-P
P12-FQM-1492 11571125 429717 |
Cita | Sun, W., Caraballo Garrido, T., Han, X. y Kloeden, P.E. (2020). A free boundary tumor model with time dependent nutritional supply. Nonlinear Analysis: Real World Applications, 53 (103063) |
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