Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability
Silva T, Jäger W, Neuss-Radu M, Sequeira A (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 496
Article Number: 110229
DOI: 10.1016/j.jtbi.2020.110229
Abstract
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.
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Portugal (PT)
Germany (DE)How to cite
APA:
Silva, T., Jäger, W., Neuss-Radu, M., & Sequeira, A. (2020). Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability. Journal of Theoretical Biology, 496. https://dx.doi.org/10.1016/j.jtbi.2020.110229
MLA:
Silva, Telma, et al. "Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability." Journal of Theoretical Biology 496 (2020).
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