Название: PDE Models for Atherosclerosis Computer Implementation in R (Synthesis Lectures on Mathematics and Statistics)
Автор: William E. Schiesser (author) & Steven G. Krantz (Series edited by)
Издательство: Morgan & Claypool Publishers
Год: 2019
Формат: True PDF
Страниц: 143
Размер: 3 Mb
Язык: English

Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, with two forms: (1) LDL - low density lipoproteins and (2) HDL - high density lipoproteins. Low LDL and high HDL concentrations are generally considered essential for limited atherosclerosis and good health.
This book pertains to a mathematical model for the spatiotemporal distribution of LDL and HDL in the arterial endothelial inner layer (EIL, intima). The model consists of a system of six partial differential equations (PDEs) with the dependent variables