Modeling of Biological Materials

  • Francesco Mollica
  • Luigi Preziosi
  • K. R. Rajagopal

Table of contents

  1. Front Matter
    Pages i-xv
  2. R. Chotard-Ghodsnia, C. Verdier
    Pages 1-31
  3. S. Baek, K. R. Rajagopal, J. D. Humphrey
    Pages 101-123
  4. J. S. Soares, J. E. Moore Jr., K. R. Rajagopal
    Pages 125-177
  5. R. De Santis, L. Ambrosio, F. Mollica, P. Netti, L. Nicolais
    Pages 211-261
  6. L. Graziano, L. Preziosi
    Pages 263-321
  7. R. Rosso, E. G. Virga
    Pages 323-357

About this book

Introduction

This interdisciplinary collection of surveys highlights the central role played by the mathematical modeling of mechanical properties having an effect on the biology, chemistry, and physics of living matter. One of the main goals of the book is to present—in a single, self-contained resource—topics that are widely scattered across the literature in a variety of journals having mutually nonintersecting communities of readers, such as applied mathematicians, engineers, biologists, and physicians.

Readers coming from diverse backgrounds are provided with basic modeling ideas and tools to address important problems in the medical and health sciences. Presented are appropriate models as well as their implementation through numerical and computer simulations, which may lead to potential technological innovations useful in medicine. Models are tested in realistic experiments, results are extracted analytically or numerically, and the success of the developed models is determined by comparing theoretical predictions and actual experimental findings.

Written in a user-friendly style that avoids cumbersome mathematical techniques and notation, each chapter examines theoretical and practical issues associated with a specific biomedical application
Specific topics covered include:

* mechanical properties of biological materials—macroscopic and microscopic perspectives

* biochemical and biomechanical aspects of blood flow

* formation and growth of intracranial aneurysms

* modeling of natural tissue substitutes, including cardiovascular and biodegradable stents

* regulation of hemostatic system function

* mechanical properties of tumors, bones, and cell membranes

Modeling of Biological Materials may be used in interdisciplinary, introductory courses covering various biomechanical topics for graduate students in applied mathematics, engineering, and biomedicine. The surveys featured in the book will also be a lasting and valuable reference for a wide community of researchers, practitioners, and advanced students in the above-mentioned fields.

 

Keywords

Stent biodegradable tissues biology biomechanics biomedical applications biomedical engineer biomedicine hemostatic system function intracranial aneurysms mathematical modeling mechanical properties of living materials modeling of natural tissue substitutions tissue tumor growth vascular mechanics

Editors and affiliations

  • Francesco Mollica
    • 1
  • Luigi Preziosi
    • 2
  • K. R. Rajagopal
    • 3
  1. 1.Dipartimento di IngegneriaUniversità di FerraraFerraraItaly
  2. 2.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly
  3. 3.Department of Mechanical EngineeringTexas A&M UniversityCollege StationUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b138320
  • Copyright Information Birkhäuser Boston 2007
  • Publisher Name Birkhäuser Boston
  • eBook Packages Engineering
  • Print ISBN 978-0-8176-4410-9
  • Online ISBN 978-0-8176-4411-6
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • About this book