Effect of permeability on the initiation of Atherosclerosis modeled as an inflammatory process

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dc.contributor.author El Hajj, Wissam
dc.date.accessioned 2022-10-26T10:56:48Z
dc.date.available 2022-10-26T10:56:48Z
dc.date.copyright 2022 en_US
dc.date.issued 2022-06-20
dc.identifier.uri http://hdl.handle.net/10725/14137
dc.description.abstract Atherosclerosis is an inflammatory chronic illness characterized by the buildup of fats, cholesterol and other substances in and on the artery wall causing its hardening. This work presents a mathematical model that analyze the inflammatory stage of atherosclerosis. We present a system of four coupled type of partial differential equations. Four leading players are taken into consideration: LDL (L), oxidized LDL (Lox), immune cells (M ) and the pro-inflammatory cytokines (C). In addition, one characteristic parameter taken into account is the permeability of the endothelial layer. A stability analysis and existence proof for fixed points of the kinetic system is presented leading to a biological interpretation. We are able to distinguish three main cases of the disease state that correlates with the permeability of the endothelial layer; where we can note that the permeability is classified according to its value based on the remaining parameters. In fact, when the permeability is low, this case is considered to be the disease free state since no chronic inflammatory reaction occurs due to the non-initiation of the auto-amplification process. With intermediate permeability, a wave propagation corresponding to a chronic inflammatory reaction might happen, whether the initial perturbation overcome a threshold or not. With high permeability, even a small perturbation of the disease free state drives to a chronic inflammatory reaction represented by a wave propagation. en_US
dc.language.iso en en_US
dc.subject Atherosclerosis -- Mathematical models en_US
dc.subject Inflammation -- Pathophysiology en_US
dc.subject Inflammation -- Treatment en_US
dc.subject Chronic diseases en_US
dc.subject Endothelium en_US
dc.subject Lebanese American University -- Dissertations en_US
dc.subject Dissertations, Academic en_US
dc.title Effect of permeability on the initiation of Atherosclerosis modeled as an inflammatory process en_US
dc.type Thesis en_US
dc.term.submitted Summer en_US
dc.author.degree MS in Applied and Computational Mathematics en_US
dc.author.school SAS en_US
dc.author.idnumber 201703256 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 (xi, 48 leaves): col. ill. en_US
dc.author.advisor El-Khatib, Nader
dc.keywords Atherosclerosis en_US
dc.keywords Partial Differential Equations en_US
dc.keywords Mathematical Modelling en_US
dc.keywords Permeability en_US
dc.description.bibliographiccitations Bibliography: leaves 34-36. en_US
dc.identifier.doi https://doi.org/10.26756/th.2022.465
dc.author.email wissam.elhajj01@lau.edu 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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