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Book
Mathematical Models and Methods for Living Systems : Levico Terme, Italy 2014
Authors: --- --- --- --- --- et al.
ISBN: 3319426796 3319426788 9783319426785 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods. Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases.


Book
The Mathematics of Mechanobiology : Cetraro, Italy 2018
Authors: --- --- --- --- --- et al.
ISBN: 3030451976 3030451968 Year: 2020 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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


Book
The Mathematics of Mechanobiology
Authors: --- --- --- --- --- et al.
ISBN: 9783030451974 Year: 2020 Publisher: Cham Springer International Publishing :Imprint: Springer

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Abstract


Digital
The Mathematics of Mechanobiology : Cetraro, Italy 2018
Authors: --- --- --- --- --- et al.
ISBN: 9783030451974 Year: 2020 Publisher: Cham Springer International Publishing

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Abstract

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

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