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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Bibliographic Details
Authors: Díaz Díaz, Jesús Ildefonso, Tello Del Castillo, José Ignacio
Format: article
Publication Date:2003
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/49535
Online Access:https://hdl.handle.net/20.500.14352/49535
Access Level:Open access
Keyword:517.954
Free boundary problem
Controllability
Growth of tumors
Análisis matemático
1202 Análisis y Análisis Funcional
Description
Summary: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.