Cardiovascular Mathematics: Modeling and simulation of the circulatory system (MS&A)

✍ Scribed by Luca Formaggia, Alfio M. Quarteroni, Alesandro Veneziani

• Publisher: Springer
• Year: 2009
• Tongue: English
• Leaves: 528
• Edition: 1
• Category: Library

✦ Synopsis

Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes. This book offers a mathematically sound and up-to-date foundation to the training of researchers and serves as a useful reference for the development of mathematical models and numerical simulation codes.

✦ Table of Contents

Cover Page
......Page 1
Cardiovascular Mathematics......Page 2
Copyright Page
......Page 5
Preface
......Page 6
Contents
......Page 10
List of Contributors......Page 12
1
Physiology and pathology of the cardiovascular
system: a physical perspective......Page 15
2
Basic mathematical models and motivations......Page 60
3
The derivation of the equations for fluids and
structure......Page 89
4
From image data to computational domains......Page 134
5
Geometry and flow......Page 187
6
Rheological models for blood......Page 220
7
Mathematical models of mass transfer in the
vascular walls......Page 251
8
Analysis of coupled models for fluid-structure
interaction of internal flows......Page 287
9
Algorithms for fluid-structure interaction
problems......Page 315
10
Reduced models of the cardiovascular system......Page 355
11
Multiscale models of the vascular system......Page 403
12
Applications and test cases......Page 455
Glossary of medical terms......Page 484
Symbol explanation......Page 488
References......Page 489
Index
......Page 519