عنوان
پدید آورنده
موضوع
رده
QA374
QA374
کتابخانه
محل استقرار
0128184523
0128184531
9780128184523
9780128184530
Numerical PDE analysis of retinal neovascularization :
[Book]
mathematical model computer implementation in R /
William E. Schiesser.
First edition.
London, United Kingdom :
Academic Press,
[2019]
1 online resource
Includes bibliographical references and index.
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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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.
Ingram Content Group
9780128184530
9780128184523
Differential equations, Partial.
Neovascularization-- Mathematical models.
Retina-- Blood-vessels.
Differential equations, Partial.
MATHEMATICS-- Calculus.
MATHEMATICS-- Mathematical Analysis.
Retina-- Blood-vessels.
MAT-- 005000
MAT-- 034000
515
.
353
23
QA374
Schiesser, W. E.
20200822085302.0
pn
مطالعه متن کتاب [Book]
Y
