William E. Schiesser,
William E. (Professor of Chemical and Biomolecular Engineering and Professor of Mathematics, Lehigh University, USA) Schiesser
Numerical PDE Analysis of Retinal Neovascularization
Mathematical Model Computer Implementation in R
Paperback Engels 2019 9780128184523Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
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Inhoudsopgave
<p>1. PDE Model Formulation</p> <p>2. Model Implementation</p> <p>3. Variation of parameters</p> <p>4. Detailed PDE analysis</p> <p>5. Oxygen Effect</p> <p>6. Anti-VEGF Drug Therapy</p>
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