Hemo-Dynamics

ISBN-13: 9783319361147 / Angielski / Miękka / 2016 / 407 str.

Mair Zamir

Opis

Praise for Hemo-Dynamics: "This book provides an elegant and intuitive derivation of the fundamental mathematics underlying fluid flow, and then applies these in a straightforward way to pulsatile blood flow in all its complexity.

Recenzje

"The book presents a comprehensive review of mathematical models of blood flow, with a focus on making assumptions necessary to solve the model equations by hand. ... The book is clear and generally easy to follow for someone that has had a differential equations course, and its coverage is comprehensive. If you are looking for a book on (analytical) mathematical models for blood flow, this one should be strongly considered." (Jeffrey J. Heys, Mathematical Reviews, July, 2016)

Spis treści

Introduction.- Mathematical Description of Fluid Flow.- Steady Flow in a Tube.- Basic Elements of Pulsatile Flow.- Pulsatile Flow in an Elastic Tube.- Wave Reflections.- Flow in Branching Tubes.- Dynamics of Pulsatile Blood Flow I.- Dynamics of Pulsatile Blood Flow II.- Dynamics of Pulsatile Blood Flow III.- Dynamic Pathologies.- Appendices.- Viscosity: A Story.- Poiseuille Flow: A Story.

O autorze

The author is an Emeritus Professor in the departments of Applied mathematics and of Medical Biophysics at the University of Western Ontario. Originally trained in fluid dynamics, he has been teaching and working on the dynamics of blood flow for the past four decades.

Blurb

Praise for Hemo-Dynamics:

“This book provides an elegant and intuitive derivation of the fundamental mathematics underlying fluid flow, and then applies these in a straightforward way to pulsatile blood flow in all its complexity. One of the triumphs of the book is that Zamir succeeds in making essential concepts such as the Navier-Stokes equations completely accessible to any reader with a knowledge of basic calculus.  The author succeeds in conveying both the beauty of his subject matter, and his passion for the elegance and intricacies of fluid flow more generally.”

Lindi Wahl, PhD, Professor of Applied Mathematics, The University of Western Ontario

“Incredible, the figures alone are to die for… At first glance “Hemo-Dynamics” seems like a deep engineering and modeling dive into the mechanical properties of the cardiovascular system, blood, and how they interact to generate flow and pressure.  However, the text is laid out in a stepwise manner and I was especially impressed in the way that the key conceptual figures illustrate the essential concepts. In keeping with the philosophical underpinnings of engineering, Professor Zamir has also constructed his book so that the format, text, equations and the figures are self-reinforcing. This is a book that will be of great use to those who seek to understand the cardiovascular system from a mechanical and modeling perspective.”

Michael J. Joyner, MD, Professor of Anesthesiology, Mayo Clinic, Rochester, MN