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Updated: May 11, 2026

Quantitative Analysis and Characterization of Atherosclerotic Lesions in the Murine Aortic Sinus
Published on: December 7, 2013
Numerical and analytical study of an atherosclerosis inflammatory disease model
1Dept. Matemática Aplicada y Métodos Informáticos. E.T.S.I., Minas, Universidad Politécnica de Madrid, Rios Rosas 21, 28003 , Madrid, Spain, arturo.hidalgo@upm.es.
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 ω-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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