Bibliographic Information

The Mathematics of Mechanobiology : Cetraro, Italy 2018

Antonio DeSimone ... [et al.] ; Davide Ambrosi, Pasquale Ciarletta, editors

(Lecture notes in mathematics, 2260 . CIME Foundation subseries)

Springer, c2020

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Note

Other authors: Benoît Perthame, Alfio Quarteroni, Lev Truskinovsky

"Fondazione CIME Roberto Conti"

"This volume collects notes of the lectures delivered at the CIME-EMS Summer School in applied mathematics The mathematics of mechanobiology held in Cetraro, Italy, on August 27-31, 2018."--P. vii

Includes bibliographical references

Description and Table of Contents

Description

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 (Benoit 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 particular graduate students and applied mathematicians interested in entering this fascinating field.

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.

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