ENGLISH

Numerical PDE Analysis of Retinal Neovascularization

By William E. Schiesser

Book information

Publisher
Academic Press
Year
2019
ISBN
9780128184523
Language
english
Format
PDF
Filesize
3 MB (3174293 bytes)
Edition
1
Pages
139\139
Time added
2020-01-03 14:28:40

Description

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 2. Model Implementation 3. Variation of parameters 4. Detailed PDE analysis 5. Oxygen Effect 6. Anti-VEGF Drug Therapy

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