Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability
| Autor: | Maria Neuss-Radu, Adélia Sequeira, Willi Jäger, Telma F. S. Silva |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0301 basic medicine
Statistics and Probability Endothelial permeability Poromechanics Inflammation General Biochemistry Genetics and Molecular Biology Permeability 03 medical and health sciences 0302 clinical medicine Fluid dynamics medicine Humans General Immunology and Microbiology Biot number Chemistry Applied Mathematics Models Cardiovascular General Medicine Adhesion Blood flow Atherosclerosis Coupling (electronics) Lipoproteins LDL 030104 developmental biology Modeling and Simulation Biophysics Stress Mechanical medicine.symptom General Agricultural and Biological Sciences 030217 neurology & neurosurgery |
| Zdroj: | Journal of theoretical biology. 496 |
| ISSN: | 1095-8541 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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