Mathematical Modeling of Atherosclerotic Plaque Formation Coupled with a Non-Newtonian Model of Blood Flow
Joint Authors
Tiago, Jorge
Santos, Rafael F.
Sequeira, Adélia
Silva, Telma
Source
Conference Papers in Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We deal with a mathematical model of atherosclerosis plaque formation, which describes the early formation of atherosclerotic lesions.
The model assumes that the inflammatory process starts with the penetration of low-density lipoproteins cholesterol in the intima, and that penetration will occur in the area of lower shear stress.
Using a system of reaction-diffusion equations, we first provide a one-dimensional model of lesion growth.
Then we perform numerical simulations on an idealized two-dimensional geometry of the carotid artery bifurcation before and after the formation of the atherosclerotic plaque.
For that purpose, we consider the blood as an incompressible non-Newtonian fluid with shear-thinning viscosity.
We also present a study of the wall shear stress and blood velocity behavior in a geometry with one plaque and also with two plaques in different positions.
American Psychological Association (APA)
Silva, Telma& Sequeira, Adélia& Santos, Rafael F.& Tiago, Jorge. 2013. Mathematical Modeling of Atherosclerotic Plaque Formation Coupled with a Non-Newtonian Model of Blood Flow. Conference Papers in Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-469523
Modern Language Association (MLA)
Silva, Telma…[et al.]. Mathematical Modeling of Atherosclerotic Plaque Formation Coupled with a Non-Newtonian Model of Blood Flow. Conference Papers in Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-469523
American Medical Association (AMA)
Silva, Telma& Sequeira, Adélia& Santos, Rafael F.& Tiago, Jorge. Mathematical Modeling of Atherosclerotic Plaque Formation Coupled with a Non-Newtonian Model of Blood Flow. Conference Papers in Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-469523
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469523