Numerical PDE Analysis of Retinal Neovascularization : Mathematical Model Computer Implementation in R

William E. (Professor of Chemical and Biomolecular Engineering and Professor of Mathematics Schiesser

ISBN 10: 0128184523 / ISBN 13: 9780128184523

Published by Elsevier Science Publishing Co Inc Jun 2019, 2019

About this Item

Neuware. Seller Inventory # 9780128184523

Bibliographic Details

Title: Numerical PDE Analysis of Retinal ...

Publisher: Elsevier Science Publishing Co Inc Jun 2019

Publication Date: 2019

Binding: Taschenbuch

Condition: Neu

About this title

Synopsis:

Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point-a system of three partial differential equations (PDEs)-that define the evolution of (1) capillary tip density, (2) blood capillary density and (3) concentration of vascular endothelial growth factor (VEGF) in the retina as a function of space (distance along the retina), x, and time, t, the three PDE dependent variables for (1), (2) and (3), and designated as u1(x, t), u2(x, t), u3(x, t), amongst other topics.

About the Author:

Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. 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 or coauthor of more than 16 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations and government agencies.