The Mathematics of Mechanobiology: Cetraro, Italy 2018

by Antonio DeSimone, Benoït Perthame, Alfio Quarteroni, Lev Truskinovsky, Davide Ambrosi

Overview

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.

Product Details

ISBN-13:	9783030451967
Publisher:	Springer International Publishing
Publication date:	06/30/2020
Series:	Lecture Notes in Mathematics , #2260
Edition description:	1st ed. 2020
Pages:	210
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

- Cell Motility and Locomotion by Shape Control. - Models of Cell Motion and Tissue Growth. - Segregated Algorithms for the Numerical Simulation of Cardiac Electromechanics in the Left Human Ventricle. - Power-Stroke-DrivenMuscle Contraction.