On a mathematical model of tumor growth based on cancer stem cells

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.

Description

Title: On a mathematical model of tumor growth based on cancer stem cells
Author/s:
  • Tello del Castillo, José Ignacio
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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Abstract

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.

Funding Projects

TypeCodeAcronymLeaderTitle
Madrid Regional GovernmentCCG07-UPM/000-3199UnspecifiedUnspecifiedUnspecified

More information

Item ID: 33255
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
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