Mechanics of Biological Tissue

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Gerhard A. Holzapfel, Ray W. Ogden
Springer Science & Business Media, Jun 3, 2006 - Science - 522 pages
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The mechanics of biological tissues is a multidisciplinary and rapidly expanding area of research. This book highlights some important research directions that combine mechanical sciences with exciting new developments in biology.

 

It includes state-of-the-art articles on:

  • Tissue growth and remodelling – general continuum theories of growth, remodelling and adaptation, with specific applications to arterial, tendon and cartilage growth and to bone healing.
  • Micromechanics, cells and matrix – measurements of the mechanical properties of cells, engineering of cell systems, constitutive and computational modelling of cells and cell-substrate interactions, and the transition from microscopic modelling to its macroscopic consequences.
  • Arteries in health and disease – analysis of residual stress and its development, modelling the constitutive properties of arterial walls, computational analysis of the effect of stenting on the arterial wall, studies of collagen fibre distributions in saccular aneurysms and the interaction between blood flow and aneurysm development.
  • Biological tissues – the musculo-skeletal system, heart valves, ligaments, intervertebral discs, the uterus and vocal fold tissues, with experimental, modelling and computational perspectives.
  • Image-based analysis – illustration of imaging techniques that have great potential for the analysis of tissue properties and pathologies and for guiding the design of engineered tissue constructs.

 

This collection of papers should be of interest to theoretical, computational and experimental researchers and doctoral students in the area of biomechanics and in related areas of engineering, biology and medicine.

 

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Contents

Towards a Theory of Vascular Growth and Remodeling
3
Complementary Roles of Theoretical Modeling
16
Growth in Soft Biological Tissue and Residual Stress
47
Characterization and Modeling of Growth and Remodeling
63
Modeling and Simulation of Remodeling
77
Anisotropic Remodelling of Biological Tissues
90
A Mechanobiological Formulation of Bone Healing
105
Continuum Models of Growth with Emphasis
119
Material Property Alterations with Early Atheroma
268
Microscopic Analysis of Residual Stress and Strain
283
Collagen Organization and Biomechanics of the Arteries
307
Imagebased Simulation of Blood Flow and Arterial Wall
321
Invariant Formulation for Dispersed Transverse Isotropy
355
Mathematical Modelling of Cardiac Mechanoenergetics
369
Viscoelastic Constitutive Law Based on the Time Scale
398
Is the Free Energy of Hydrogel the Sum of Elastic Energy
421

Tensile Properties and Local Stiffness of Cells
135
Microfluiddynamics in Threedimensional Engineered Cell
153
Prediction of Changes in Cellsubstrate Contact under Cyclic
177
Mechanical Properties of Atherosclerotic Tissues
207
Towards a Computational Methodology for Optimizing
224
Considerations
241
Simulation of Instent Restenosis for the Design
255
In Vivo Experiments to Characterize the Mechanical Behavior
431
Viscoelastic Response of Vocal Fold Tissues and Scaffolds
444
Functional Microimaging at the Interface of Bone Mechanics
472
Strain Measurement Using Deformable Image Registration
489
Imagebased Hierarchical Analysis and Design of Tissue
502
Index
517
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About the author (2006)

Graz University of Technology, Austria.

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