Personalized Computational Hemodynamics - 1st Edition - ISBN: 9780128156537

Personalized Computational Hemodynamics

1st Edition

Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy

Authors: Yuri Vassilevsky Maxim Olshanskii Sergey Simakov Andrey Kolobov Alexander Danilov
Paperback ISBN: 9780128156537
Imprint: Academic Press
Published Date: 1st November 2019
Page Count: 220
Sales tax will be calculated at check-out Price includes VAT/GST

Institutional Subscription

Secure Checkout

Personal information is secured with SSL technology.

Free Shipping

Free global shipping
No minimum order.

Description

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.

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 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

Details

No. of pages:
220
Language:
English
Copyright:
© Academic Press 2020
Published:
Imprint:
Academic Press
Paperback ISBN:
9780128156537

About the Author

Yuri Vassilevsky

EDUCATION: Habilit. Institute of Numerical Mathematics, Russian Academy of Sciences, 2006, Physics and Mathematics, specialization in Applied Mathematics Ph.D. Institute of Numerical Mathematics, Russian Academy of Sciences, 1993, Physics and Mathematics, specialization in Applied Mathematics M.S. Moscow Institute of Physics and Technology, Russia, 1990, GPA 4.9/5.0 Applied Mathematics, specialization in Applied Mathematics and Physics PROFESSIONAL EXPERIENCE: 11/2010{present: Institute of Numerical Mathematics, Russian Academy of Sciences, Russia Deputy Director for Science 09/2007{present: Moscow Institute of Physics and Technology, Moscow, Russia Professor, Deputy Chair of Computational Technologies and Modeling in Geophysics and Biomathematics 11/2007{present: Moscow State University, Fac. of Comput. Mathematics and Cybernetics Professor 06/2017{present: Sechenov First Moscow State Medical University, Laboratory of mathematical modelling in biomedicine Head of Laboratory 02/2001{10/2010: Institute of Numerical Mathematics, Russian Academy of Sciences, Russia Sta member, Member of Scienti c Board 01/2000{01/2001: Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, USA. Visiting researcher 1 10/1993{12/1999: Institute of Numerical Mathematics, Russian Academy of Sciences, Russia Sta member 10/1990{09/1993: Institute of Numerical Mathematics, Russian Academy of Sciences, Russia Research Assistant / Graduate Student 09/1988{07/1990: Moscow Institute of Physics and Technology, Moscow, Russia Research Assistant RESEARCH INTERESTS: Theory of quasi-optimal meshes, mesh generation and adaptation, iterative methods for PDEs, discretization methods for PDEs, Computational Fluid Dynamics, Computational Hemodynamics and Reservoir Simulation.

Affiliations and Expertise

Professor, Corresponding Member of the Russian Academy of Sciences

Maxim Olshanskii

Education:  Ph.D. Mathematics, Moscow State University, November 1996  M.S. Department of Mechanics and Mathematics, Moscow State University, 1993 Doctoral Dissertation (PhD thesis): Some questions of numerical simulation of unsteady incompressible Navier-Stokes ows in primitive variables, November 1996, Prof. G.M.Kobelkov, advisor. Second Doctoral Dissertation (Habilitation thesis): Robust multigrid and preconditioned iterative methods, November 2006 from the Institute of Numerical Mathematics of Russian Academy of Science Research Interests: Numerical analysis for partial di erential equations; Numerical Surface PDEs; Computational Fluid Dynamics; Multi-phase, interface and free surface ows; non-Newtonian uids; Numerical linear algebra; Multigrid and multilevel methods.

Affiliations and Expertise

Adjunct professor, Department of Mathematics and Computer Sciences, Emory University, Atlanta, USA

Sergey Simakov

Education:  Ph.D. Mathematics, Moscow State University, November 1996  M.S. Department of Mechanics and Mathematics, Moscow State University, 1993 Doctoral Dissertation (PhD thesis): Some questions of numerical simulation of unsteady incompressible Navier-Stokes ows in primitive variables, November 1996, Prof. G.M.Kobelkov, advisor. Second Doctoral Dissertation (Habilitation thesis): Robust multigrid and preconditioned iterative methods, November 2006 from the Institute of Numerical Mathematics of Russian Academy of Science Research Interests: Numerical analysis for partial di erential equations; Numerical Surface PDEs; Computational Fluid Dynamics; Multi-phase, interface and free surface ows; non-Newtonian uids; Numerical linear algebra; Multigrid and multilevel methods.

Affiliations and Expertise

Professor, Department of Mathematics, University of Houston, Houston, TX, USA

Andrey Kolobov

EDUCATION: Ph.D. M.V.Lomonosov Moscow State University, Russia, 2003, Biophysics (03.01.02), Title: Modeling of growth and progression of a tumor taking into account its proliferative and spatial heterogeneity M.S. Moscow Institute of Physics and Technology, Russia, 1999, Applied Mathematics and Physics RESEARCH INTERESTS: Mathematical modeling in physics and biology, non-linear dynamics, tumor growth and progression, angiogenesis, anticancer therapy, ame propagation, stability analysis, Numerical solution of PDEs.

Affiliations and Expertise

Scientifc Secretary of the Institute, P.N. Lebedev Physical Institute of Russian Academy of Science, Moscow, Russia

Alexander Danilov

Invited researcher  Institute for Experimental Cardiovascular Medicine, University Heart Centre, Freiburg, Ger- many, 2016.  Institute for Applied Mathematics and Information Technologies, Pavia, Italy: 2008, 2009.  Department of Mathematics, Linkoping University, Sweden, 2007.  T-7, Los Alamos National Laboratory, USA: 2006, 2007. Research experience 2014 { present  Numerical modeling of electrocardiography Development of cardiac electrophysiology model coupled with nite-element human body model. Numerical simulations of forward ECG problem.

Affiliations and Expertise

Moscow Institute of Physics and Technology, Russia

Ratings and Reviews