Title: Numerical PDE Analysis of Retinal Neovascularization: Mathematical Model Computer Implementation in R
Publisher: Elsevier Science Publishing Co Inc
Publication Date: 2019
Language: English
ISBN 10: 0128184523
ISBN 13: 9780128184523
Binding: Paperback / softback
Condition: New
Weight: 222 grams

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.

Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models
Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to the mathematical model and algorithms
Authored by a leading researcher and educator in PDE models

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.

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