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

Represents the first book to offer a software framework for the analysis of PDE prototype models for retinal neovascularization

William E. Schiesser (Author)

9780128184523, Elsevier Science

Paperback, published 14 June 2019

144 pages
23.4 x 19 x 1.1 cm, 0.34 kg

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.

1. PDE Model Formulation

Subject Areas: Biomedical engineering [MQW]