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Numerical PDE Analysis of Retinal Neovascularization

Mathematical Model Computer Implementation in R

William E. Schiesser (Autor)

Buch | Softcover

144 Seiten

2019
Academic Press Inc (Verlag)
978-0-12-818452-3 (ISBN)

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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.

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.

1. PDE Model Formulation

2. Model Implementation

3. Variation of parameters

4. Detailed PDE analysis

5. Oxygen Effect

6. Anti-VEGF Drug Therapy

Erscheinungsdatum	21.06.2019
Verlagsort	San Diego
Sprache	englisch
Maße	191 x 235 mm
Gewicht	340 g
Themenwelt	Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie
	Technik ► Medizintechnik
	Technik ► Umwelttechnik / Biotechnologie
ISBN-10	0-12-818452-3 / 0128184523
ISBN-13	978-0-12-818452-3 / 9780128184523
Zustand	Neuware