Numerical and analytical study of an atherosclerosis inflammatory disease model

Hidalgo López, Arturo and Tello Del Castillo, María Lourdes and Toro, E. F. (2014). Numerical and analytical study of an atherosclerosis inflammatory disease model. "Journal of mathematical biology", v. 68 (n. 7); pp. 1785-1814. ISSN 0303-6812. https://doi.org/10.1007/s00285-013-0688-0.

Description

Title: Numerical and analytical study of an atherosclerosis inflammatory disease model
Author/s:
  • Hidalgo López, Arturo
  • Tello Del Castillo, María Lourdes
  • Toro, E. F.
Item Type: Article
Título de Revista/Publicación: Journal of mathematical biology
Date: June 2014
ISSN: 0303-6812
Volume: 68
Subjects:
Faculty: E.T.S.I. de Minas y Energía (UPM)
Department: Ingeniería Geológica y Minera
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We study a reaction–diffusion mathematical model for the evolution of atherosclerosis as an inflammation process by combining analytical tools with computer-intensive numerical calculations. The computational work involved the calculation of more than sixty thousand solutions of the full reaction–diffusion system and lead to the complete characterisation of the ωω-limit for every initial condition. Qualitative properties of the solution are rigorously proved, some of them hinted at by the numerical study

More information

Item ID: 39892
DC Identifier: http://oa.upm.es/39892/
OAI Identifier: oai:oa.upm.es:39892
DOI: 10.1007/s00285-013-0688-0
Official URL: http://link.springer.com/article/10.1007/s00285-013-0688-0
Deposited by: Memoria Investigacion
Deposited on: 05 Jul 2016 07:44
Last Modified: 05 Jul 2016 07:44
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