Biomechanics of Living Organs

Biomechanics of Living Organs

Hyperelastic Constitutive Laws for Finite Element Modeling

1st Edition - June 9, 2017

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  • Authors: Yohan Payan, Jacques Ohayon
  • Hardcover ISBN: 9780128040096
  • eBook ISBN: 9780128040607

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Biomechanics of Living Organs: Hyperelastic Constitutive Laws for Finite Element Modeling is the first book to cover finite element biomechanical modeling of each organ in the human body. This collection of chapters from the leaders in the field focuses on the constitutive laws for each organ. Each author introduces the state-of-the-art concerning constitutive laws and then illustrates the implementation of such laws with Finite Element Modeling of these organs. The focus of each chapter is on instruction, careful derivation and presentation of formulae, and methods. When modeling tissues, this book will help users determine modeling parameters and the variability for particular populations. Chapters highlight important experimental techniques needed to inform, motivate, and validate the choice of strain energy function or the constitutive model. Remodeling, growth, and damage are all covered, as is the relationship of constitutive relationships of organs to tissue and molecular scale properties (as net organ behavior depends fundamentally on its sub components). This book is intended for professionals, academics, and students in tissue and continuum biomechanics.

Key Features

  • Covers hyper elastic frameworks for large tissue deformations
  • Considers which strain energy functions are the most appropriate to model the passive and active states of living tissue
  • Evaluates the physical meaning of proposed energy functions


Biomedical Engineers, Biomechanical Engineers, Graduate Students of Biomedical Engineering, Clinicians, Tissue Engineers

Table of Contents

  • Part 1: Constitutive laws for biological living tissues
    1. Hyperelasticity Modeling for Incompressible Passive Biological Tissues
    2. Current Hyperelastic Models for Contractile Tissues: Application to Cardiovascular Mechanics
    3. Visco-hyperelastic strain energy function
    4. Constitutive Formulations for Soft Tissue Growth and Remodeling
    5. Strain energy function for damaged tissues

    Part 2: Passive soft organs
    6. Brain – Biomechanical modeling of brain soft tissues for medical applications
    7. Oesophagus – Modeling of esophageal structure and function in health and disease
    8. Aorta – Mechanical properties, histology, and biomechanical modeling
    9. Arteries and Coronaries Arterial – Wall Stiffness and Atherogenesis in Human Coronaries
    10. Breast – Clinical applications of breast biomechanics
    11. Liver – Non linear Biomechanical model of the Liver
    12. Abdomen – Mechanical modeling and clinical applications
    13. Small Intestine
    14. Bladder/prostate/rectum – Biomechanical Models of the Mobility of Pelvic Organs in the Context of Prostate Radiotherapy
    15. Uterus – Biomechanical modeling of uterus. Application to a childbirth simulation
    16. Skin – Skin mechanics

    Part 3: Active soft organs
    17. Skeletal muscle – Three-dimensional modeling of active muscle tissue: The why, the how, and the future
    18. Face – Computational modelling of the passive and active components of the face
    19. Tongue – Human tongue biomechanical modeling
    20. Upper airways – FRANK: a Hybrid 3D Biomechanical Model of the Head and Neck
    21. Heart – Adaptive reorientation of myofiber orientation in a model of biventricular cardiac mechanics: the effect of triaxial active stress, passive shear stiffness, and activation sequence

    Part 4: Musculo-skeletal models
    22. Spine – Relative contribution of structure and materials in the biomechanical behavior of the human spine
    23. Thigh – Modeling of the Thigh: a 3D deformable approach considering
    muscle interactions
    24. Calf – Subject-specific computational prediction of the effects of elastic compression in the calf
    25. Foot – Biomechanical modeling of the foot

Product details

  • No. of pages: 602
  • Language: English
  • Copyright: © Academic Press 2017
  • Published: June 9, 2017
  • Imprint: Academic Press
  • Hardcover ISBN: 9780128040096
  • eBook ISBN: 9780128040607

About the Authors

Yohan Payan

Yohan Payan leads the CAMI team (Computer Assisted Medical Interventions) of TIMC-IMAG Laboratory. With an engineering background, his main research interests concern the biomechanical modelling of soft tissues. He received the 2012 Senior Prize of the French Biomechanics Society. During the last fifteen years, he has co-supervised 25 PhD students, written close to 300 papers and edited two books focused on biomechanics for CAMI. During the same period, he spent two sabbatical years in Chile (Univ. of Santiago) and Canada (UBC, Vancouver) and was invited as a keynote speaker in more than twenty international conferences.

Affiliations and Expertise

Leader, CAMI (Computer Assisted Medical Interventions), TIMC-IMAG Laboratory, La Tronche, France

Jacques Ohayon

Jacques Ohayon received his MSc degree in Biomechanical Engineering at University of Compiègne (UTC) in France in 1982 and his PhD in Cardiac Mechanics in 1985 at the University of Paris 12 Val-de-Marne (UPVM). Since 2003, he performs his research at the Laboratory TIMC-CNRS UMR 5525 of Grenoble in the group Cellular/Tissular Dynamics and Functional Microscopy (DyCTiM). From 2006 to 2007 he was an invited senior scientist at the Laboratory of Integrative Cardiovascular Imaging Science at the NIH, USA. His current research interests are in biomechanics of atherosclerotic plaque, plaque detection, plaque rupture prediction, plaque growth and development of new clinical tools for imaging the elasticity of vulnerable plaque based on clinical OCT, MRI and IVUS sequences.

Affiliations and Expertise

Research, Cullular/Tissualr Dynamics and Functional Microscopy (DyCTiM), Laboratory TIMC-CNRS UMR 5525 of Grenoble, La Tronche, France

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  • BOUBAKER B. Mon May 14 2018

    Reference book with collective effort

    It covers a large spectrum of biomechanical items with some very valuables contributions from reference authors in the realm of biomechanics !