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.

List of contents

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.

Product details

• Authors: Eleuterio F Toro, Eleuterio F. Toro
• Publisher: Springer, Berlin
• Languages: English, German
• Product format: Hardback
• Release: 26.06.2025
• EAN: 9783031925979
• ISBN: 978-3-0-3192597-9
• No. of pages: 292
• Illustrations: VIII, 292 p. 100 illus., 30 illus. in color.
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; 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