
Personalized Computational Hemodynamics
Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy
Description
Key Features
- Examines a variety of medical disciplines targeted by mathematical modeling and computer simulation
- Discusses how the results of numerical simulations are used to support clinical decision-making
- Covers hemodynamics relating to various subject areas, including vascular surgery and oncological tumor treatments
Readership
Graduate students and researchers focusing on mathematical modeling in biomedicine, computational biology
Table of Contents
1. Introduction
1.1 Rationale
1.2 Objectives
1.3 Structure and overview of the book2. Basic facts about a human cardiovascular system
2.1 Introduction
2.2 Heart as a pump
2.3 Vasculature
2.4 Microvasculature
2.5 Vascular physiology
2.6 Vascular pathologies
2.7 Conclusions3. Patient-specific geometric modelling
3.1 Introduction
3.2 Basics about medical imaging (modalities and data)
3.3 Heart segmentation
3.4 Blood vessels segmentation
3.5 Generation of computational meshes
3.6 Conclusions4. General equations of motion
4.1 Introduction
4.2 Navier-Stokes equations for incompressible fluid
4.3 Elastic and hyperelastic materials
4.4 Fluid-structure interaction
4.5 Conclusions5. 3D vascular and heart hemodynamics
5.1 Introduction
5.2 Simulation of blood flow in vessel with non-deformable walls
5.3 Simulation of blood flow in vessel with compliant walls
5.4 Simulation of blood flow in the heart
5.5 Simulation of blood flow in heart valves
5.6 Systems of algebraic equations and complexity issues
5.7 Conclusions6. 0D lumped models
6.1 Introduction
6.2 Electric circuit ODEs
6.3 Elastic sphere ODEs
6.4 Numerical methods
6.5 Accounting for physiological phenomena
6.6 Accounting for pathologies
6.7 Conclusions7. 1D vascular hemodynamics
7.1 Introduction
7.2 Derivation of equations
7.3 Numerical solution of equations
7.4 Geometrical multiscale methods (0D-1D-3D)
7.5 Accounting for physiological phenomena
7.6 Accounting for pathologies
7.7 Conclusions8. Hemodynamics in capillary networks and angiogenesis
8.1 Introduction
8.2 Generation of capillary networks
8.3 Pathologic capillary networks
8.4 Hydraulic network equations
8.5 Transport in capillary networks
8.6 Conclusions9. Applications in vascular surgery
9.1 Introduction
9.2 Cava-filter placement
9.3 Stenting of leg arteries
9.4 Stenting of coronary arteries and FFR
9.5 Stenting of cerebral arteries
9.6 Decision support software
9.7 Conclusions10. Applications in antitumor therapy
10.1 Introduction
10.2 Tumor growth model
10.3 Tumor growth and capillary transport
10.4 Optimization of tumor medical treatment
10.5 Conclusions11.Summary
11.1 Major contributions
11.2 Future directions
11.3 Acknowledgments
Product details
- No. of pages: 280
- Language: English
- Copyright: © Academic Press 2020
- Published: April 16, 2020
- Imprint: Academic Press
- Paperback ISBN: 9780128156537
- eBook ISBN: 9780128156544
About the Authors
Yuri Vassilevsky
Affiliations and Expertise
Maxim Olshanskii
Affiliations and Expertise
Sergey Simakov
Affiliations and Expertise
Andrey Kolobov
Affiliations and Expertise
Alexander Danilov
Affiliations and Expertise
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