Full text
|
PDF
- Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (1MB) | Preview |
On a mathematical model of tumor growth based on cancer stem cells
Citation
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: |
|
| 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 |
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
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Madrid Regional Government | CCG07-UPM/000-3199 | Unspecified | Unspecified | Unspecified |
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 |
