期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 496, 期 -, 页码 -出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2020.110229
关键词
Mathematical modeling and simulations; Early inflammation; Atherosclerosis; Endothelial permeability; Low-density-lipoprotein dynamics; Immune cells dynamics
资金
- Klaus Tschira foundation via BIOMS
- FCT (Fundacao para a Ciencia e a Tecnologia, Portugal) [EXCL/MAT-NAN/0114/2012]
- CEMAT -Center for Computational and Stochastic Mathematics, IST, University of Lisbon [UID/Multi/04621/2013, UID/Multi/04621/2019]
- SCIDATOS (University of Heidelberg)
In this paper, we develop a mathematical model for the early stage of atherosclerosis, as a chronic inflammatory disease. It includes also processes that are relevant for the thickening of the vessel walls, and prepares a more complete model including also the later stages of atherosclerosis. The model consists of partial differential equations: Navier-Stokes equations modeling blood flow, Biot equations modeling the fluid flow inside the poroelastic vessel wall, and convection/chemotaxis-reaction-diffusion equations modeling transport, signaling and interaction processes initiating inflammation and atherosclerosis. The main innovations of this model are: a) quantifying the endothelial permeability to low-density-lipoproteins (LDL) and to the monocytes as a function of WSS, cytokines and LDL on the endothelial surface; b) transport of monocytes on the endothelial surface, mimicking the monocytes adhesion and rolling; c) the monocytes influx in the lumen, as a function of factor increasing monocytopoiesis; d) coupling between Navier-Stokes system, Biot system and convection/chemotaxis-reaction-diffusion equations. Numerical simulations of a simplified model were performed in an idealized two-dimensional geometry in order to investigate the dynamics of endothelial permeability, and the growth and spread of immune cells populations and their dependence in particular on low-density-lipoprotein and wall-shear stress. (C) 2020 Elsevier Ltd. All rights reserved.
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