A spatially resolved and quantitative model of early atherosclerosis
type: Item
instance of: scholarly article
title: A spatially resolved and quantitative model of early atherosclerosis
zbMATH Open document ID: 1429.92059
author: Moritz P. Thon
author: Mary R. Myerscough
author: Michael W. Gee
published in: Bulletin of Mathematical Biology
publication date: 2019-11-22T00:00:00Z
full work available at URL: document.pdf
review text: In the prevention and medical treatment of atherosclerosis -- a chronic inflammatory vascular disease of the artery wall which could cause a stroke or myocardial infarction, a decisive step is to predict whether early the atherosclerotic plaques continue to grow, stagnate or become regressive. The authors develop a spatially resolved and quantitative mathematical model of key contributors of early atherosclerosis. The stability of atherosclerotic plaques is assessed on some measurable or computable in vivo inputs such as blood cholesterol concentrations or wall shear stresses. The model uses Darcy's law for the transmural flow through vessel walls and the Kedem-Katchalsky equations for endothelial fluxes of lipoproteins and a novel submodel for macrophage recruitment. A broad spectrum of models of various aspects of atherosclerosis has been created over recent decades. A comprehensive overview of the existing models of atherosclerosis is given in the review by \textit{A. Parton}, \textit{V. McGilligan}, \textit{M. O' Kane}, \textit{F. R. Baldrick} and \textit{S. Watterson} [``Computational modelling of atherosclerosis'', Briefings Bioinform. 17, No. 4, 562--575 (2016; \url{doi:10.1093/bib/bbv081})]. The formation of early atherosclerotic plaques is modeled and quantified in a previous work of the present authors [\textit{M. P. Thon} et al., Bull. Math. Biol. 80, No. 1, 175--214 (2018; Zbl 1385.92027)]. In that publication, a parameterized set of ordinary differential equations (ODEs) was developed that predicts key inflammatory and lipid processes of early atherosclerosis. The established ODE model is able to predict the stability of early model plaques based on the recruitment of LDL, HDL and macrophages. The present model is the first to provide a complete predictive parameter set for all those key processes of early atherosclerosis. The structure of this work is as follows: In Section 2, before the spatially resolved model is established, submodels of the recruit…
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 92C32
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 92C10
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 74F10
zbMATH DE Number: 7135703
zbMATH Keywords: atherosclerosis
zbMATH Keywords: parameter estimation
zbMATH Keywords: stability analysis
zbMATH Keywords: macrophage recruitment
zbMATH Keywords: transmural flow
zbMATH Keywords: lipoprotein flux
Wikidata QID: Q92490282
MaRDI profile type: Publication
OpenAlex ID: W2966570417
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DOI: 10.1007/S11538-019-00646-5
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description: scientific article; zbMATH DE number 7135703