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Title: Stability analysis of a mathematical model of atherosclerotic plaque development: Fibrous cap formation and degradation
Authors: Wanwarat Anlamlert
Yongwimon Lenbury
Jonathan Bell
Mahidol University
South Carolina Commission on Higher Education
University of Maryland, Baltimore
Keywords: Agricultural and Biological Sciences
Issue Date: 15-Nov-2015
Citation: Kasetsart Journal - Natural Science. Vol.49, No.6 (2015), 971-982
Abstract: © 2015, Kasetsart University. All rights reserved. Atherosclerosis is an inflammatory disease in which plaque builds up in the artery wall. The growth of atherosclerotic plaque leads to the narrowing of the blood vessel, which may result in many possible disorders, such as coronary heart disease, cardiovascular diseases, myocardial infarction and stroke. This paper proposed a mathematical model of the essential chemical processes associated with atherosclerotic plaque development, which concentrates on the formation and possible degradation of the fibrous cap. It was shown that, under suitable conditions for the system parameters, the model system admits positive solutions. Local stability of the equilibrium was proven and conditions on the system parameters provided that ensure the system’s global stability.
ISSN: 00755192
Appears in Collections:Scopus 2011-2015

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