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

Editore: Elsevier Science Publishing Co Inc Jun 2019, 2019

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Neuware. Codice articolo 9780128184523

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Titolo: Numerical PDE Analysis of Retinal ...

Casa editrice: Elsevier Science Publishing Co Inc Jun 2019

Data di pubblicazione: 2019

Legatura: Taschenbuch

Condizione: Neu

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Riassunto:

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.

Informazioni sull?autore:

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.