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dc.contributor.authorIbragimov, A. I.
dc.contributor.authorMcNeal, C. J.
dc.contributor.authorRitter, L. R.
dc.contributor.authorWalton, J. R.
dc.date.accessioned2016-02-23T13:52:31Z
dc.date.available2016-02-23T13:52:31Z
dc.date.issued2010
dc.identifier.citationIbragimov AI, McNeal CJ, Ritter LR, Walton JR (2010) Stability Analysis of a Model of Atherogenesis: An Energy Estimate Approach II. Computational and Mathematical Methods in Medicine 11: 67–88. Available: http://dx.doi.org/10.1080/17486700802713430.
dc.identifier.issn1748-670X
dc.identifier.issn1748-6718
dc.identifier.doi10.1080/17486700802713430
dc.identifier.urihttp://hdl.handle.net/10754/597015
dc.description.abstractThis paper considers modelling atherogenesis, the initiation of atherosclerosis, as an inflammatory instability. Motivated by the disease paradigm articulated by Russell Ross, atherogenesis is viewed as an inflammatory spiral with positive feedback loop involving key cellular and chemical species interacting and reacting within the intimal layer of muscular arteries. The inflammation is modelled through a system of non-linear reaction-diffusion-convection partial differential equations. The inflammatory spiral is initiated as an instability from a healthy state which is defined to be an equilibrium state devoid of certain key inflammatory markers. Disease initiation is studied through a linear, asymptotic stability analysis of a healthy equilibrium state. Various theorems are proved giving conditions on system parameters guaranteeing stability of the health state and conditions on system parameters leading to instability. Among the questions addressed in the analysis is the possible mitigating effect of anti-oxidants upon transition to the inflammatory spiral. © 2010 Taylor & Francis.
dc.description.sponsorshipThis publication is based on work supported in part by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
dc.publisherHindawi Limited
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/
dc.subjectAtherogenesis
dc.subjectAtherosclerosis
dc.subjectChemotaxis
dc.subjectEnergy estimate
dc.subjectStability analysis
dc.titleStability Analysis of a Model of Atherogenesis: An Energy Estimate Approach II
dc.typeArticle
dc.identifier.journalComputational and Mathematical Methods in Medicine
dc.contributor.institutionTexas Tech University at Lubbock, Lubbock, United States
dc.contributor.institutionDivision of Molecular Cardiology, Temple, United States
dc.contributor.institutionScott and White, Temple, United States
dc.contributor.institutionSouthern Polytechnic State University, Marietta, United States
dc.contributor.institutionTexas A and M University, College Station, United States
kaust.grant.numberKUS-C1-016-04
refterms.dateFOA2018-06-13T12:08:46Z


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This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Except where otherwise noted, this item's license is described as This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.