Cardiovascular Solid Mechanics

Cells, Tissues, and Organs

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February 26, 2022 | History

Cardiovascular Solid Mechanics

Cells, Tissues, and Organs

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  • 0 Have read

This text presents a general introduction to soft tissue biomechanics. One of its primary goals is to introduce basic analytical, experimental and computational methods. In doing so, it enables readers to gain a relatively complete understanding of the biomechanics of the heart and vasculature.

Cardiovascular Solid Mechanics: Cells, Tissues, and Organs is a vital resource for courses on cardiovascular solid mechanics or soft tissue biomechanics. Focusing on the response of the heart and blood vessels to mechanical loads from the perspective of nonlinear solid mechanics, its primary goal is to integrate basic analytical, experimental, and computational methods to offer a more complete understanding of the underlying mechanobiology. While dealing primarily with cardiovascular mechanics, both the fundamental methods and many of the specific results are applicable to many different soft tissues, making this book an excellent general introduction to soft tissue biomechanics overall. Divided into three parts, Cardiovascular Solid Mechanics presents a practical and rational approach to biomechanics.

Part I, Foundations, briefly reviews historical points of interest, basic molecular and cell biology, histology, and an overview of soft tissue mechanics. In order to provide not only a working framework, but also to give key references for those who wish to develop and extend biomechanics, included are mathematical preliminaries and salient results from continuum mechanics, finite elasticity, experimental mechanics, and finite elements.

Part II, Vascular Mechanics, reviews the anatomy, histology, and physiology of arteries, illustrating and discussing constitutive formulations and stress analyses for healthy mature arteries. Considerable attention is given to the concept of residual stress and the mechanics of a number of vascular disorders, including atherosclerosis, aneurysms, and hypertension, as well as the mechanics of popular endovascular therapies such as balloon angioplasty.

Part III, Cardiac Mechanics, reviews the requisite anatomy, histology, physiology, and pathology, and discusses the constitutive relations and stress analyses in the normal, mature heart. Finally, the book points the reader to areas of study that require more advanced theoretical, experimental, and computational methods, such as electromechanics, thermomechanics, mixture theory analysis of solid-fluid coupling, and damage mechanics. This book is designed as a text for an upper-division course on cardiovascular solid mechanics but will also serve as a good introduction to soft tissue biomechanics. Exercises at the end of each chapter will clarify complex concepts for both students and more experienced readers. Clinicians, life scientists, engineers, and mathematicians will also find this an invaluable guide, with concise and practical chapters, all of which are amply referenced. Cover illustration: Schema of a developing pathology of the arterial wall under mechanical stress.

Publish Date
Publisher
Springer
Language
English
Pages
776

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Edition Availability
Cover of: Cardiovascular Solid Mechanics
Cardiovascular Solid Mechanics: Cells, Tissues, and Organs
2013, Springer London, Limited
in English
Cover of: Cardiovascular Solid Mechanics
Cardiovascular Solid Mechanics: Cells, Tissues, and Organs
Dec 01, 2010, Springer, Springer New York
paperback
Cover of: Cardiovascular Solid Mechanics
Cardiovascular Solid Mechanics: Cells, Tissues, and Organs
January 8, 2002, Springer
Hardcover in English

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Book Details


Table of Contents

Part I-Foundations. 1
1. Introduction. 3
1.1 Historical Prelude. 4
1.2 Basic Cell Biology. 14
1.3 The Extracellular Matrix. 18
1.4 Soft Tissue Behavior. 24
1.5 Needs and General Approach: Clinical Motivations. 32
1.6 Exercises. 36
1.7 References. 37
2. Mathematical Preliminaries. 40
2.1 A Direct Tensor Notation. 40
2.2 Cartesian Components. 45
2.3 Further Results in Tensor Calculus. 53
2.4 Orthogonal Curvilinear Components. 55
2.5 Matrix Methods. 62
2.6 Exercises. 65
2.7 References. 66
3. Continuum Mechanics. 68
3.1 Kinematics. 69
3.2 Forces, Tractions, and Stresses. 79
3.3 Basic Postulates. 82
3.4 Constitutive Formulations. 86
3.5 Boundary and Initial Conditions. 101
3.6 Exercises. 102
3.7 References. 105
4. Finite Elasticity. 107
4.1 Incompressible Isotropic Elasticity. 107
4.2 Solutions in 3D Incompressible Elasticity. 116
4.3 Compressible Isotropic Elasticity. 131
4.4 Membrane Hyperelasticity. 136
4.5 Exercises. 151
4.6 References. 155
5. Experimental Methods. 158
5.1 General Philosophy. 158
5.2 Measurement of Strain. 165
5.3 Measurement of Applied Loads. 179
5.4 Computer-Aided Experimentation. 188
5.5 Parameter Estimation and Statistics. 198
5.6 Exercises. 205
5.7 References. 208
6. Finite Elements. 211
6.1 Fundamental Equations. 213
6.2 Interpolation, Integration, and Solvers. 216
6.3 An Illustrative Formulation. 223
6.4 Inflation of a Membrane. 234
6.5 Inverse Finite Elements. 237
6.6 Exercises. 239
6.7 References. 244
Part II-Vascular Mechanics. 247
7. The Normal Arterial Wall. 249
7.1 Structure and Function. 249
7.2 General Characteristics. 264
7.3 Constitutive Framework. 289
7.4 Experimental Methods. 310
7.5 Specific Constitutive Relations. 319
7.6 Stress Analyses. 335
7.7 Exercises. 354
7.8 References. 357
8. Vascular Disorders. 365
8.1 Hypertension. 365
8.2 Intracranial Aneurysms. 386
8.3 Atherosclerosis. 429
8.4 Aortic Aneurysms. 446
8.5 Additional Topics. 459
8.6 Exercises. 473
8.7 References. 476
9. Vascular Adaptation. 499
9.1 Mechanical Preliminaries. 500
9.2 Cellular Responses to Applied Loads. 522
9.3 Arterial Response to Hypertension. 539
9.4 Arterial Response to Altered Flow. 551
9.5 Vessel Response to Injury. 562
9.6 Veins as Arterial Grafts. 569
9.7 Aging. 578
9.8 Exercises. 580
9.9 References. 584
Part Ill-Cardiac Mechanics. 599
10. The Normal, Mature Heart. 601
10.1 Structure and Function. 601
10.2 General Characteristics. 617
10.3 Constitutive Framework. 633
10.4 Constitutive Relations. 655
10.5 Stress Analysis. 698
10.6 Exercises. 709
10.7 References. 712
11. Epilogue. 725
11.1 References. 729
Appendices. 730
I. Nomenclature, Common Abbreviations, and Conversion Factors. 730
I.1 Nomenclature. 730
I.2 Common Abbreviations. 733
I.3 Conversion Factors. 733
II. Results for Curvilinear Coordinates. 735
II.1 Cylindrical Coordinates. 735
II.2 Spherical Coordinates. 741
II.3 Prolate Spheroidal Coordinates. 743
II.4 Exercises. 744
II.5 Reference. 745
III. Material Frame-Indifference. 746
III.1 Exercises. 749

Edition Notes

Published in
New York, USA

Classifications

Dewey Decimal Class
612.1
Library of Congress
RC669.9 .H85 2002

The Physical Object

Format
Hardcover
Pagination
xvi, 757p
Number of pages
776
Dimensions
9.75 x 6.75 x 1.75 inches
Weight
2.7 pounds

ID Numbers

Open Library
OL7448762M
ISBN 10
0387951687
ISBN 13
9780387951683
LCCN
00069244
OCLC/WorldCat
45620666
Google
DBglTvXRtGcC
Library Thing
1756391
Goodreads
5257905

Excerpts

Biomechanics can be defined as the development, extension, and application of mechanics to answer questions of importance in biology and medicine. It is only through biomechanics that we can understand, and thus address, many of the biophysical phenomena that occur at the molecular, cellular, tissue, and organism levels. Hence, biomechanics is as important as it is challenging. Because of the complexity of tissue structure and behavior, there is a need for sophisticated theoretical ideas; because of a continuing lack of data, there is a need for new, clever experiments; because of the geometric complexity of cells, tissues, and organs, there is a need for robust computational methods; and because of of the morbidity and mortality that results from disease and injury, there is a need for improved modalities for diagnosis and treatment. Much has been learned and accomplished, but much remains to be done.

As a specialty area within biomechanics, cardiovascular solid mechanics seeks to increase our understanding of the physiology and pathophysiology of the heart and vasculature, and to improve the requisite diagnostic and therapeutic capabilities. Our approach is base on the *continuum hypothesis*, thus we assume that characteristic length scales of the microstructure are much smaller than characteristic length scales of the overall problem of interest (e.g., a vascular smooth muscle cell is orders of magnitude smaller than the thickness of the arterial wall). Given this assumption, we can define locally averaged properties at each point in the body and thereby define physical quantities of interest using continuous functions.
Page 3-4, added anonymously.

This excerpt outlines the scope of the monograph and the general investigative approach used.

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History

Download catalog record: RDF / JSON
February 26, 2022 Edited by ImportBot import existing book
November 6, 2012 Edited by 96.44.189.101 Fixed typos.
November 6, 2012 Edited by 199.48.147.38 Fixed typos
November 5, 2012 Edited by 217.115.10.133 Added excerpt and description.
December 10, 2009 Created by WorkBot add works page