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Int. J. Mol. Sci. 2019, 20(3), 785;

A Control-Theoretic Model of Atherosclerosis

Department of Clinical Biochemistry and Laboratory Medicine, Poznan University of Medical Sciences, 61-701 Poznan, Poland
College of Science and Engineering Flinders University, Adelaide, SA 5042, Australia
Department of Cardiac Surgery and Transplantology, Poznan University of Medical Sciences, 61-701 Poznan, Poland
Institute of Computing Science, Poznan University of Technology, 60-965 Poznan, Poland
Institute of Bioorganic Chemistry, Polish Academy of Sciences, 61-704 Poznan, Poland
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 28 December 2018 / Revised: 2 February 2019 / Accepted: 4 February 2019 / Published: 12 February 2019
(This article belongs to the Special Issue Pathomechanisms of Atherosclerosis. Part I)
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We propose a control-theoretic aggregate model of the progression of atherosclerosis plaque, a chronic inflammatory disease of the arterial wall, to study the basic features of this disease. In the model, we exploit the role of inflammation in the disease progression, and use statins—drugs commonly recommended in atherosclerosis—to control this progression. We use a logistic function to allow for constrained growth of plaque. In the model, both the patient’s age and overall health impact the plaque growth and its sensitivity to statins. The model parameters are estimated using original data, or calibrated using published research as well as our own clinical and laboratory studies. We contend that our model helps to gauge the statins’ impact on a patient’s plaque thickness, hence the disease’s progression and cardiovascular risk, without requiring artery scans. View Full-Text
Keywords: atherosclerosis; statins; control-theoretic model; logistic growth atherosclerosis; statins; control-theoretic model; logistic growth

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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 (CC BY 4.0).

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Formanowicz, D.; Krawczyk, J.B.; Perek, B.; Formanowicz, P. A Control-Theoretic Model of Atherosclerosis. Int. J. Mol. Sci. 2019, 20, 785.

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