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Tello del Castillo, José Ignacio (2013). On a mathematical model of tumor growth based on cancer stem cells. "Mathematical Biosciences and Engineering (MBE)", v. 10 (n. 1); pp. 263-278. ISSN 1547-1063. https://doi.org/10.3934/mbe.2013.10.263.
Title: | On a mathematical model of tumor growth based on cancer stem cells |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Mathematical Biosciences and Engineering (MBE) |
Date: | February 2013 |
ISSN: | 1547-1063 |
Volume: | 10 |
Subjects: | |
Freetext Keywords: | Cancer steam cells, free boundary problems, stability. |
Faculty: | E.U. de Informática (UPM) |
Department: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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We consider a simple mathematical model of tumor growth based on cancer stem cells. The model consists of four hyperbolic equations of first order to describe the evolution of different subpopulations of cells: cancer stem cells, progenitor cells, differentiated cells and dead cells. A fifth equation is introduced to model the evolution of the moving boundary. The system includes non-local terms of integral type in the coefficients. Under some restrictions in the parameters we show that there exists a unique homogeneous steady state which is stable.
Type | Code | Acronym | Leader | Title |
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Madrid Regional Government | CCG07-UPM/000-3199 | Unspecified | Unspecified | Unspecified |
Item ID: | 33255 |
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DC Identifier: | http://oa.upm.es/33255/ |
OAI Identifier: | oai:oa.upm.es:33255 |
DOI: | 10.3934/mbe.2013.10.263 |
Official URL: | https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=8002 |
Deposited by: | Memoria Investigacion |
Deposited on: | 23 Apr 2015 16:40 |
Last Modified: | 23 Apr 2015 16:40 |