Cardiovascular solid mechanics: cells, tissues, and organs/
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York:
Springer,
c2002
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| Subjects: |
Table of Contents:
- Machine generated contents note: Part I-Foundations1
- 1. Introduction3
- 1.1 Historical Prelude4
- 1.2 Basic Cell Biology14
- 1.3 The Extracellular Matrix18
- 1.4 Soft Tissue Behavior24
- 1.5 Needs and General Approach:
- Clinical Motivations32
- 1.6 Exercises36
- 1.7 References37
- 2. Mathematical Preliminaries40
- 2.1 A Direct Tensor Notation40
- 2.2 Cartesian Components45
- 2.3 Further Results in Tensor Calculus53
- 2.4 Orthogonal Curvilinear Components55
- 2.5 Matrix Methods62
- 2.6 Exercises65
- 2.7 References66
- 3. Continuum Mechanics68
- 3.1 Kinematics69
- 3.2 Forces, Tractions, and Stresses79
- 3.3 Basic Postulates82
- 3.4 Constitutive Formulations86
- 3.5 Boundary and Initial Conditions101
- 3.6 Exercises102
- 3.7 References105
- 4. Finite Elasticity107
- 4.1 Incompressible Isotropic Elasticity107
- 4.2 Solutions in 3D Incompressible Elasticity116
- 4.3 Compressible Isotropic Elasticity131
- 4.4 Membrane Hyperelasticity136
- 4.5 Exercises151
- 4.6 References155
- 5. Experimental Methods158
- 5.1 General Philosophy158
- 5.2 Measurement of Strain165
- 5.3 Measurement of Applied Loads179
- 5.4 Computer-Aided Experimentation188
- 5.5 Parameter Estimation and Statistics198
- 5.6 Exercises205
- 5.7 References208
- 6. Finite Elements211
- 6.1 Fundamental Equations213
- 6.2 Interpolation, Integration, and Solvers216
- 6.3 An Illustrative Formulation223
- 6.4 Inflation of a Membrane234
- 6.5 Inverse Finite Elements237
- 6.6 Exercises239
- 6.7 References244
- Part HI-Vascular Mechanics247
- 7. The Normal Arterial Wall249
- 7.1 Structure and Function249
- 7.2 General Characteristics264
- 7.3 Constitutive Framework289
- 7.4 Experimental Methods310
- 7.5 Specific Constitutive Relations319
- 7.6 Stress Analyses335
- 7.7 Exercises354
- 7.8 References357
- 8. Vascular Disorders365
- 8.1 Hypertension365
- 8.2 Intracranial Aneurysms386
- 8.3 Atherosclerosis429
- 8.4 Aortic Aneurysms446
- 8.5 Additional Topics459
- 8.6 Exercises473
- 8.7 References476
- 9. Vascular Adaptation499
- 9.1 Mechanical Preliminaries500
- 9.2 Cellular Responses to Applied Loads522
- 9.3 Arterial Response to Hypertension539
- 9.4 Arterial Response to Altered Flow551
- 9.5 Vessel Response to Injury562
- 9.6 Veins as Arterial Grafts569
- 9.7 Aging578
- 9.8 Exercises580
- 9.9 References584
- Part Ill-Cardiac Mechanics599
- 10. The Normal, Mature Heart601
- 10.1 Structure and Function601
- 10.2 General Characteristics617
- 10.3 Constitutive Framework633
- 10.4 Constitutive Relations655
- 10.5 Stress Analysis698
- 10.6 Exercises709
- 10.7 References712
- 11. Epilogue725
- 11.1 References729
- Appendices730
- I. Nomenclature, Common Abbreviations, and
- Conversion Factors730
- I.1 Nomenclature730
- I.2 Common Abbreviations733
- I.3 Conversion Factors733
- II. Results for Curvilinear Coordinates735
- II.1 Cylindrical Coordinates735
- II.2 Spherical Coordinates741
- II.3 Prolate Spheroidal Coordinates743
- II.4 Exercises744
- II.5 Reference745
- III. Material Frame-Indifference746
- III.1 Exercises749.