Journal
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 68, Issue 7, Pages 1785-1814Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-013-0688-0
Keywords
Atherosclerosis; Finite volume formulation; Parabolic reactiondiffusion models; Asymptotic behaviour
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Funding
- Fundacion Caja Madrid (Spain)
- Modelizacion, Analisis y Control de EDPs, DGISGPI (Spain) [MTM2011-26119]
- [MTM2008-06208]
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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 -limit for every initial condition. Qualitative properties of the solution are rigorously proved, some of them hinted at by the numerical study.
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