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The Mathematics of Mechanobiology

Cetraro, Italy 2018

  • Book
  • © 2020

Overview

Authors:
  1. Antonio DeSimone

    1. The BioRobotics Institute, Sant’Anna School of Advanced Studies, Pisa, Italy, SISSA-MathLab, International School for Advanced Studies, Trieste, Italy

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  2. Benoît Perthame

    1. CNRS, Sorbonne Université Inria, Université de Paris Laboratoire Jacques-Louis Lions, Paris, France

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  3. Alfio Quarteroni

    1. MOX, Mathematics Department, Politecnico di Milano, Italy, Institute of Mathematics, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

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  4. Lev Truskinovsky

    1. ESPCI, PMMH, CNRS – UMR 7636 PSL-ESPCI, Paris, France

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Editors:
  1. Davide Ambrosi

    1. Department of Mathematical Sciences, Polytechnic University of Turin, Torino, Italy

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  2. Pasquale Ciarletta

    1. MOX, Dipartimento Di Matematica, Polytechnic University of Milan, Milano, Italy

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  • First ever book to contain modeling simulation and mathematical analysis in this field
  • First comprehensive survey of recent seminal advances in this rapidly developing field
  • Contains guided examples in an emerging research field
  • Written by four leading international scientists

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2260)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-ix
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  2. Cell Motility and Locomotion by Shape Control

    • Antonio DeSimone
    Pages 1-41

  3. Models of Cell Motion and Tissue Growth

    • Benoît Perthame
    Pages 43-80

  4. Segregated Algorithms for the Numerical Simulation of Cardiac Electromechanics in the Left Human Ventricle

    • L. Dede’, A. Gerbi, A. Quarteroni
    Pages 81-116

  5. Power-Stroke-Driven Muscle Contraction

    • Raman Sheshka, Lev Truskinovsky
    Pages 117-207

  6. Back Matter

    Pages 209-210
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Keywords

About this book

This book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of the most significant areas of mechanobiology: cell motility and locomotion by shape control (Antonio DeSimone); models of cell motion and tissue growth (Benoît Perthame); numerical simulation of cardiac electromechanics (Alfio Quarteroni); and power-stroke-driven muscle contraction (Lev Truskinovsky).

Each section is self-contained in terms of the biomechanical background, and the content is accessible to all readers with a basic understanding of differential equations and numerical analysis. The book disentangles the phenomenological complexity of the biomechanical problems, while at the same time addressing the mathematical complexity with invaluable clarity. The book is intended for a wide audience, in particulargraduate students and applied mathematicians interested in entering this fascinating field.


Authors, Editors and Affiliations

  • Department of Mathematical Sciences, Polytechnic University of Turin, Torino, Italy

    Davide Ambrosi

  • MOX, Dipartimento Di Matematica, Polytechnic University of Milan, Milano, Italy

    Pasquale Ciarletta

  • The BioRobotics Institute, Sant’Anna School of Advanced Studies, Pisa, Italy, SISSA-MathLab, International School for Advanced Studies, Trieste, Italy

    Antonio DeSimone

  • CNRS, Sorbonne Université Inria, Université de Paris Laboratoire Jacques-Louis Lions, Paris, France

    Benoît Perthame

  • MOX, Mathematics Department, Politecnico di Milano, Italy, Institute of Mathematics, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Alfio Quarteroni

  • ESPCI, PMMH, CNRS – UMR 7636 PSL-ESPCI, Paris, France

    Lev Truskinovsky

Bibliographic Information

  • Book Title: The Mathematics of Mechanobiology

  • Book Subtitle: Cetraro, Italy 2018

  • Authors: Antonio DeSimone, Benoît Perthame, Alfio Quarteroni, Lev Truskinovsky

  • Editors: Davide Ambrosi, Pasquale Ciarletta

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-45197-4

  • Publisher: Springer Cham

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Softcover ISBN: 978-3-030-45196-7Published: 30 June 2020

  • eBook ISBN: 978-3-030-45197-4Published: 29 June 2020

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IX, 210

  • Number of Illustrations: 47 b/w illustrations, 61 illustrations in colour

  • Topics: Mathematical and Computational Biology, Biomedical Engineering and Bioengineering, Biomechanics

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