title: Numerical and analytical study of an atherosclerosis inflammatory disease model.
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.
authors.affiliation: Dept. Matemática Aplicada y Métodos Informáticos. E.T.S.I., Minas, Universidad Politécnica de Madrid, Rios Rosas 21, 28003 , Madrid, Spain, arturo.hidalgo@upm.es.
authors.forename: A
authors.initials: A
authors.lastname: Hidalgo
authors.forename: L
authors.initials: L
authors.lastname: Tello
authors.forename: E F
authors.initials: EF
authors.lastname: Toro
mesh_terms: D000465:Algorithms; D000818:Animals; D050197:Atherosclerosis / Q000209:etiology* / Q000276:immunology; D003198:Computer Simulation; D018450:Disease Progression; D006801:Humans; D007249:Inflammation / Q000209:etiology / Q000276:immunology; D055641:Mathematical Concepts; D051379:Mice; D008954:Models, Biological; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted