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…mehr
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.
Eleuterio F. Toro is currently Emeritus Professor of Mathematics at the University of Trento, Italy, and formerly Professor of Numerical Analysis (Professore Chiara Fama) at the same University. He holds an Honours B.Sc. in pure mathematics, an M.Sc. in functional analysis and differential equations, and a Ph.D. in computational mathematics. Since 1982, and prior to his appointment in Italy (2002), he held several academic positions in the UK, including a full professorship; he has also held many visiting appointments in various countries, such as Japan, Russia, China, and USA; he is Recipient of several honours and distinctions in various countries. His research has for many years focused on the construction of computational methods for solving time-dependent evolutionary partial differential equations, with emphasis on hyperbolic balance laws and applications to industrial, aerospace, environmental, and medical problems. He is Author/Editor of several books and Author of more than 300 publications.
Inhaltsangabe
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.
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.
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