On the mathematical controllability in a simple growth tumors model by the internal localized action of inhibitors

We study a model of growth of tumors with a free boundary delaying the tumor region. We take into account the presence of inhibitors and its interaction with the nutrients. We study the approximate controllability of the internal distribution of density of cells, that is proportional to concentratio...

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Detalles Bibliográficos
Autores: Díaz Díaz, Jesús Ildefonso, Tello Del Castillo, José Ignacio
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49535
Acceso en línea:https://hdl.handle.net/20.500.14352/49535
Access Level:acceso abierto
Palabra clave:517.954
Free boundary problem
Controllability
Growth of tumors
Análisis matemático
1202 Análisis y Análisis Funcional
Descripción
Sumario:We study a model of growth of tumors with a free boundary delaying the tumor region. We take into account the presence of inhibitors and its interaction with the nutrients. We study the approximate controllability of the internal distribution of density of cells, that is proportional to concentration of nutrients, injecting inhibitor in a small inner region.