Publication:
Stability analysis of a mathematical model of atherosclerotic plaque development: Fibrous cap formation and degradation

Issued Date

2015-11-15

Resource Type

Article

ISSN

00755192

Other identifier(s)

2-s2.0-84988835569

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Kasetsart Journal - Natural Science. Vol.49, No.6 (2015), 971-982

Suggested Citation

Wanwarat Anlamlert, Yongwimon Lenbury, Jonathan Bell Stability analysis of a mathematical model of atherosclerotic plaque development: Fibrous cap formation and degradation. Kasetsart Journal - Natural Science. Vol.49, No.6 (2015), 971-982. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/35073

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Title

Stability analysis of a mathematical model of atherosclerotic plaque development: Fibrous cap formation and degradation

Author(s)

Wanwarat Anlamlert
 Yongwimon Lenbury
 Jonathan Bell

Other Contributor(s)

Mahidol University
 South Carolina Commission on Higher Education
 University of Maryland, Baltimore

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.

Keyword(s)

Agricultural and Biological Sciences

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/35073

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