Personalized Computational Hemodynamics: Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy offers practices and advances surrounding the multiscale modeling of hemodynamics and their personalization with conventional clinical data. Focusing on three physiological disciplines, readers will learn how to derive a suitable mathematical model and personalize its parameters to account for pathologies and diseases. Written by leading experts, this book mirrors the top trends in mathematical modeling with clinical applications.
In addition, the book features the major results of the "Research group in simulation of blood flow and vascular pathologies" at the Institute of Numerical Mathematics of the Russian Academy of Sciences.
Two important features distinguish this book from other monographs on numerical methods for biomedical applications. First, the variety of medical disciplines targeted by the mathematical modeling and computer simulations, including cardiology, vascular neurology and oncology. Second, for all mathematical models, the authors consider extensions and parameter tuning that account for vascular pathologies.
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
Table of Contents: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
