Numerical Modeling of COVID-19 Neurological Effects: ODE/PDE Analysis in R

by William Schiesser

Overview

This book focuses on a mathematical model describing a reduction in oxygen (O2) to the brain resulting from the impaired respiratory function of the lungs caused by COVID-19. The dynamics of blood flow along the brain capillaries and tissue are modeled as systems of ordinary and partial differential equations (ODE/PDEs).

Product Details

ISBN-13:	9781032152134
Publisher:	CRC Press
Publication date:	01/29/2024
Pages:	196
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering, Chemical and Biomolecular Engineering and Professor of Mathematics at Lehigh University. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author, coauthor or coeditor of 30+ books, and his ODE/DAE/PDE computer routines have been accessed by thousands of colleges and universities, corporations and government agencies.

Table of Contents

1. Source of Neurological Effects: One PDE Model. 2. Implementation of the One PDE Model. 3. Two PDE Model. 4. Implementation of the Two PDE Model. 5. Three PDE Model. 6. Case Studies.