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Mathematical Modelling and Biomechanics of the Brain

  • Corina Drapaca
  • Siv Sivaloganathan

Part of the Fields Institute Monographs book series (FIM, volume 37)

Table of contents

  1. Front Matter
    Pages i-x
  2. Corina Drapaca, Siv Sivaloganathan
    Pages 1-3
  3. Corina Drapaca, Siv Sivaloganathan
    Pages 5-37
  4. Corina Drapaca, Siv Sivaloganathan
    Pages 39-73
  5. Corina Drapaca, Siv Sivaloganathan
    Pages 75-126
  6. Corina Drapaca, Siv Sivaloganathan
    Pages 127-151
  7. Corina Drapaca, Siv Sivaloganathan
    Pages 153-155

About this book

Introduction

This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences. It begins with some historical perspective and a brief synopsis of the biomedical/biological manifestations of the clinical conditions/diseases considered. Each chapter proceeds with a discussion of the various mathematical models of the problems considered, starting with the simplest models and proceeding to more complex models where necessary. A detailed list of relevant references is provided at the end of each chapter. 

With the beginning research student in mind, the chapters have been crafted to be as self-contained as possible while addressing different clinical conditions and diseases. The book is intended as a brief introduction to both theoreticians and experimentalists interested in brain mechanics, with directions and guidance for further reading, for those who wish to pursue particular topics in greater depth. It can also be used as a complementary textbook in a graduate level course for neuroscientists and neuroengineers.

Keywords

brain science mechanics of deformable solids brain trauma hydrocephalus brain cancer mathematical oncology mathematical medicine

Authors and affiliations

  • Corina Drapaca
    • 1
  • Siv Sivaloganathan
    • 2
  1. 1.College of EngineeringPenn State UniversityUniversity ParkUSA
  2. 2.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-9810-4
  • Copyright Information Springer Science+Business Media, LLC, part of Springer Nature 2019
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-9809-8
  • Online ISBN 978-1-4939-9810-4
  • Series Print ISSN 1069-5273
  • Series Online ISSN 2194-3079
  • Buy this book on publisher's site