Secure CheckoutPersonal information is secured with SSL technology.
Free ShippingFree global shipping
No minimum order.
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
Biomedical engineers, researchers, and clinicians in biology, neuroscience, biophysics, biochemistry, and applied mathematics
1. PDE Model Formulation
2. Model Implementation
3. Variation of parameters
4. Detailed PDE analysis
5. Oxygen Effect
6. Anti-VEGF Drug Therapy
- No. of pages:
- © Academic Press 2019
- 14th June 2019
- Academic Press
- eBook ISBN:
- Paperback ISBN:
Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering and Professor of Mathematics at Lehigh University, Bethlehem, PA, USA. 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.
Emeritus R. L. McCann Professor of Chemical and Biomolecular Engineering and Professor of Mathematics, Lehigh University, Bethlehem, PA, USA
Elsevier.com visitor survey
We are always looking for ways to improve customer experience on Elsevier.com.
We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time.