Numerical PDE analysis of retinal neovascularization : mathematical model computer implementation in R /

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)-t...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Schiesser, W. E. (Author)
Format: Electronic eBook
Language:Inglés
Published: London, United Kingdom : Academic Press, [2019]
Edition:First edition.
Subjects:
Differential equations, Partial.
Neovascularization > Mathematical models.
Retina > Blood-vessels.
Mathematical models.
Retinal Neovascularization
Models, Theoretical
Computer Simulation
Mathematical Computing
Retinal Vessels
�Equations aux d�eriv�ees partielles.
N�eovascularisation > Mod�eles math�ematiques.
R�etine > Vaisseaux sanguins.
Mod�eles math�ematiques.
Simulation par ordinateur.
mathematical models.
simulation.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Mathematical models
Differential equations, Partial
Retina > Blood-vessels
Online Access:Texto completo
Table of Contents:
  • Front Cover; Numerical PDE Analysis of Retinal Neovascularization; Copyright; Contents; Preface; 1 PDE Model Formulation; 1.1 Introduction; 1.2 Model Speci cation; 1.2.1 Capillary Tip Density; 1.2.2 Blood Capillary Density; 1.2.3 VEGF Concentration; Acknowledgment; References; 2 Model Implementation; 2.1 Introduction; 2.2 Method of Lines Routines; 2.2.1 Main Program; 2.2.2 ODE/MOL Routine; 2.3 Model Output; 2.4 Summary and Conclusions; References; 3 Variation of Parameters; 3.1 Introduction; 3.2 MOL Analysis; 3.2.1 Main Program, Source Routine; 3.2.2 Model Output; 3.3 Summary and Conclusions
  • 6.3 Summary and ConclusionsA1 Functions dss004, dss044; A1.1 Function dss004; A1.2 Function dss044; Reference; Index; Back Cover

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