Overview
- 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)
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
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