| Edition |
First edition. |
| Description |
1 online resource |
|
text txt rdacontent |
|
computer c rdamedia |
|
online resource cr rdacarrier |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Online resource; title from PDF title page (EBSCO, viewed June 18, 2019). |
| 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 |
| Summary |
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. |
| Subject |
Differential equations, Partial.
|
|
Neovascularization -- Mathematical models.
|
|
Retina -- Blood-vessels.
|
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Mathematical models.
|
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Retinal Neovascularization |
|
Models, Theoretical |
|
Computer Simulation |
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Mathematical Computing |
|
Retinal Vessels |
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Équations aux dérivées partielles.
|
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Néovascularisation -- Modèles mathématiques.
|
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Rétine -- Vaisseaux sanguins.
|
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Modèles mathématiques.
|
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Simulation par ordinateur.
|
|
mathematical models.
|
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simulation.
|
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MATHEMATICS -- Calculus.
|
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MATHEMATICS -- Mathematical Analysis.
|
|
Mathematical models
|
|
Differential equations, Partial
|
|
Retina -- Blood-vessels
|
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version : 9780128184523 |
| ISBN |
9780128184530 (electronic bk.) |
|
0128184531 (electronic bk.) |
|
9780128184523 (electronic bk.) |
|
0128184523 (electronic bk.) |
| Standard No. |
AU@ 000068363442 |
|
UKMGB 019445512 |
|
