Personalized Computational Hemodynamics

1. Introduction
1.1 Rationale
1.2 Objectives
1.3 Structure and overview of the book

2. 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 Conclusions

3. 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 Conclusions

4. 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 Conclusions

5. 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 Conclusions

6. 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 Conclusions

7. 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 Conclusions

8. 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 Conclusions

9. 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 Conclusions

10. 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 Conclusions

11.Summary
11.1 Major contributions
11.2 Future directions
11.3 Acknowledgments