Mathematical Modeling of Atherosclerosis

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dc.contributor.author Salloum, Elissa
dc.date.accessioned 2022-06-14T05:42:20Z
dc.date.available 2022-06-14T05:42:20Z
dc.date.copyright 2021 en_US
dc.date.issued 2021-06-01
dc.identifier.uri http://hdl.handle.net/10725/13645
dc.description.abstract In this thesis, we suggest a one and two dimensional mathematical models of reaction-diffusion type that study the inflammatory process of atherosclerosis in the intima. They consider the concentration of five main agents: LDL, free radicals, oxidized LDL, macrophages and cytokines. The existence and stability analysis of fixed points for the kinetic system is performed. All obtained results are analyzed and compared to those in [1] in order to provide an appropriate biological interpretation. We prove the existence of solution of traveling wave type which decribes the set up of the in ammatory reaction as a reaction-diffusion wave inside the intima. This result is shown theoretically and numerically. We prove as well the convergence of the 2D model to the 1D case in the thin domain. en_US
dc.language.iso en en_US
dc.subject Atherosclerosis -- Mathematical models en_US
dc.subject Free radicals (Chemistry) -- Pathophysiology en_US
dc.subject Inflammation -- Pathophysiology en_US
dc.subject Lebanese American University -- Dissertations en_US
dc.subject Dissertations, Academic en_US
dc.title Mathematical Modeling of Atherosclerosis en_US
dc.type Thesis en_US
dc.term.submitted Spring en_US
dc.author.degree MS in Applied And Computational Mathematics en_US
dc.author.school SAS en_US
dc.author.idnumber 201905955 en_US
dc.author.commembers Nour, Chadi
dc.author.commembers Takche, Jean
dc.author.department Computer Science And Mathematics en_US
dc.description.physdesc 1 online resource (x, 44 leaves) : ill. (some col.) en_US
dc.author.advisor El-Khatib, Nader
dc.keywords Atherosclerosis en_US
dc.keywords PDE en_US
dc.keywords Mathematical Modeling en_US
dc.keywords Traveling Waves en_US
dc.keywords Numerical Simulations en_US
dc.description.bibliographiccitations Bibliography: leaf 28-29. en_US
dc.identifier.doi https://doi.org/10.26756/th.2022.267
dc.author.email elissa.salloum@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/thesis.php en_US
dc.publisher.institution Lebanese American University en_US
dc.author.affiliation Lebanese American University en_US

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