Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R |
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| Author:
| Schiesser, William E. |
| ISBN: | 978-0-12-818452-3 |
| Publication Date: | Jun 2019 |
| Publisher: | Elsevier Science & Technology
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| Imprint: | Academic Press |
| Book Format: | Paperback |
| List Price: | USD $150.00 |
Book Description:
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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...
More 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.