Computational Bodily Fluid Dynamics - Models, Algorithms and Applications

This book provides fundamental information on all aspects of computational haemodynamics in an integrated manner, combining physiology, fluid mechanics, differential equations and related numerical methods, computing, experiments and cardiovascular pathologies. Further, it demonstrates how to develop mathematical models for blood and other physiological fluids, such as cerebrospinal fluid, all in the context of research on cardiovascular and neurodegenerative diseases.
The book is based on two Master s courses and a PhD Winter School course taught at the University of Trento, Italy. Its target audience includes Master s students and PhD researchers in engineering, mathematics, computer science, and medicine, but it will also benefit medical professionals, researchers and academics.

Sommario

Introduction.- Cardiovascular physiology.- Elementary haemodynamics.- A primer on solid and fluid mechanics.- Mathematical models for blood flow.- Compartmental models.- Properties of averaged 1D models.- Basics of numerical methods.- The exact solution of the Riemann problems for arteries and veins.

Info autore

Eleuterio F. Toro is currently an Emeritus Professor of Mathematics at the University of Trento, Italy. For several decades his research has focused on the development of computational methods for solving partial differential equations, with special emphasis on hyperbolic balance laws and applications to environmental and industrial problems. For the past fifteen years he has been investigating the biophysical aspects of neurodegenerative diseases and its relation to the altered dynamical interaction of multi-materials in the central nervous system (arterial blood, venous blood, interstitial fluid, cerebrospinal fluid, the brain parenchyma and the newly discovered brain glymphatic system). Professor Toro has written numerous research articles and books, including the standard work Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, published by Springer. 

Dettagli sul prodotto

• Autori: Eleuterio F Toro, Eleuterio F. Toro
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 26.06.2025
• EAN: 9783031925979
• ISBN: 978-3-0-3192597-9
• Pagine: 292
• Illustrazioni: VIII, 292 p. 100 illus., 30 illus. in color.
• Categorie: Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Meccanica, acustica; Neurowissenschaften, Neuroscience, DV-gestützte Biologie/Bioinformatik, Maschinenbau: Strömungsmechanik, Biomedizinische Technik, Mathematik für Informatiker, Computational Fluid Dynamics, Mathematics of Computing, Classical and Continuum Physics, Engineering Fluid Dynamics, Biomedical Engineering and Bioengineering, Mathematical and Computational Biology, Neurodegenerative diseases, vessel network modeling, modeling of blood flows, Patient-specific hemodynamic technology, cerebrospinal fluid modeling, cardiovascular pathologies., Riemann Solvers, Godunov type finite volume methods, discontinuous Galerkin FEM