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Mathematical Modelling and Biomechanics of the Brain

  • Book
  • © 2019

Overview

Authors:
  1. Corina Drapaca

    1. College of Engineering, Penn State University, University Park, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Siv Sivaloganathan

    1. Department of Applied Mathematics, University of Waterloo, Waterloo, Canada

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    You can also search for this author in PubMed   Google Scholar

  • Features the current state of the art, with elementary models and current research at the frontiers of the field contained in each chapter
  • Reviews both common and deadly clinical conditions encountered by neurosurgeons
  • Expresses a unified approach to modelling brain conditions through the use of biomechanics and its extensions, giving readers a high-level perspective of clinical conditions of the brain

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • Corina Drapaca, Siv Sivaloganathan
    Pages 1-3

  3. Brief Review of Continuum Mechanics Theories

    • Corina Drapaca, Siv Sivaloganathan
    Pages 5-37

  4. Mechanics of Hydrocephalus

    • Corina Drapaca, Siv Sivaloganathan
    Pages 39-73

  5. Modeling Traumatic Brain Injuries, Aneurysms, and Strokes

    • Corina Drapaca, Siv Sivaloganathan
    Pages 75-126

  6. Models of Tumor Growth

    • Corina Drapaca, Siv Sivaloganathan
    Pages 127-151

  7. Concluding Remarks

    • Corina Drapaca, Siv Sivaloganathan
    Pages 153-155
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Keywords

About this book

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.

Authors and Affiliations

  • College of Engineering, Penn State University, University Park, USA

    Corina Drapaca

  • Department of Applied Mathematics, University of Waterloo, Waterloo, Canada

    Siv Sivaloganathan

Bibliographic Information

  • Book Title: Mathematical Modelling and Biomechanics of the Brain

  • Authors: Corina Drapaca, Siv Sivaloganathan

  • Series Title: Fields Institute Monographs

  • DOI: https://doi.org/10.1007/978-1-4939-9810-4

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2019

  • Hardcover ISBN: 978-1-4939-9809-8Published: 07 September 2019

  • Softcover ISBN: 978-1-4939-9812-8Published: 07 September 2019

  • eBook ISBN: 978-1-4939-9810-4Published: 06 September 2019

  • Series ISSN: 1069-5273

  • Series E-ISSN: 2194-3079

  • Edition Number: 1

  • Number of Pages: X, 155

  • Number of Illustrations: 12 b/w illustrations

  • Topics: Mathematical Modeling and Industrial Mathematics, Biomechanics

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