The Mathematics Of Mechanobiology
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The Mathematics Of Mechanobiology
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Author : Antonio DeSimone
language : en
Publisher: Springer Nature
Release Date : 2020-06-29
The Mathematics Of Mechanobiology written by Antonio DeSimone and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-29 with Mathematics categories.
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.
Multiscale Modeling In Biomechanics And Mechanobiology
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Author : Suvranu De
language : en
Publisher: Springer
Release Date : 2014-10-10
Multiscale Modeling In Biomechanics And Mechanobiology written by Suvranu De and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Technology & Engineering categories.
Presenting a state-of-the-art overview of theoretical and computational models that link characteristic biomechanical phenomena, this book provides guidelines and examples for creating multiscale models in representative systems and organisms. It develops the reader's understanding of and intuition for multiscale phenomena in biomechanics and mechanobiology, and introduces a mathematical framework and computational techniques paramount to creating predictive multiscale models. Biomechanics involves the study of the interactions of physical forces with biological systems at all scales – including molecular, cellular, tissue and organ scales. The emerging field of mechanobiology focuses on the way that cells produce and respond to mechanical forces – bridging the science of mechanics with the disciplines of genetics and molecular biology. Linking disparate spatial and temporal scales using computational techniques is emerging as a key concept in investigating some of the complex problems underlying these disciplines. Providing an invaluable field manual for graduate students and researchers of theoretical and computational modelling in biology, this book is also intended for readers interested in biomedical engineering, applied mechanics and mathematical biology.
Continuum Modeling In Mechanobiology
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Author : Larry A. Taber
language : en
Publisher: Springer Nature
Release Date : 2020-06-15
Continuum Modeling In Mechanobiology written by Larry A. Taber and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-15 with Technology & Engineering categories.
This book examines key theoretical tools that are currently used to develop mathematical models as an aid in understanding the biological response of cells and tissues to mechanical stimuli. Problems in growth and remodeling, tissue and organ development, and functional adaptation are all covered. Chapters on tensor analysis and nonlinear elasticity provide the necessary background for understanding the engineering theories that are currently used to solve challenges in mechanobiology. This is an ideal book for biomechanical engineers who work on problems in mechanobiology and tissue engineering.
Mechanics Of Biological Systems
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Author : Seungman Park
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-11-06
Mechanics Of Biological Systems written by Seungman Park and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-06 with Science categories.
This book is an introduction to the mechanical properties, the force generating capacity, and the sensitivity to mechanical cues of the biological system. To understand how these qualities govern many essential biological processes, we also discuss how to measure them. However, before delving into the details and the techniques, we will first learn the operational definitions in mechanics, such as force, stress, elasticity, viscosity and so on. This book will explore the mechanics at three different length scales – molecular, cellular, and tissue levels – sequentially, and discuss the measurement techniques to quantify the intrinsic mechanical properties, force generating capacity, mechanoresponsive processes in the biological systems, and rupture forces.
The Mathematics And Mechanics Of Biological Growth
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Author : Alain Goriely
language : en
Publisher: Springer
Release Date : 2017-05-29
The Mathematics And Mechanics Of Biological Growth written by Alain Goriely and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-29 with Mathematics categories.
This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
Multiscale Soft Tissue Mechanics And Mechanobiology
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Author : Gerhard A. Holzapfel
language : en
Publisher: Springer
Release Date : 2018-09-11
Multiscale Soft Tissue Mechanics And Mechanobiology written by Gerhard A. Holzapfel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-11 with Technology & Engineering categories.
This volume covers aspects of multiscale modeling of the mechanics and mechanobiology of soft biological tissues. The individual contributions focus on the constitutive modeling from the micro to the macro level in addition to computational modeling and simulation. It consists of peer-reviewed papers written by leading international authorities and will serve as a major state-of-the-art source of reference for the next few years. It includes both review articles and original articles. Previously published in the Journal of Elasticity, Volume 129, Issue 1-2, December 2017.
Mechanobiology
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Author : Glen L. Niebur
language : en
Publisher: Elsevier
Release Date : 2019-12-01
Mechanobiology written by Glen L. Niebur and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-01 with Science categories.
Mechanobiology: From Molecular Sensing to Disease will provide a review of the current state of understanding of mechanobiology and its role in health and disease. It covers: Current understanding of the main molecular pathways by which cells sense and respond to mechanical stimuli, A review of diseases that with known or purported mechanobiological underpinnings; The role of mechanobiology in tissue engineering and regenerative medicine; Experimental methods to capture mechanobiological phenomena; Computational models in mechanobiology. Presents our current understanding of the main molecular pathways by which cells sense and respond to mechanical stimuli Provides a review of diseases with known or purported mechanobiological underpinnings Includes the role of mechanobiology in tissue engineering and regenerative medicine Covers experimental methods to capture mechanobiological phenomena
Biomechanics Trends In Modeling And Simulation
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Author : Gerhard A. Holzapfel
language : en
Publisher: Springer
Release Date : 2016-09-14
Biomechanics Trends In Modeling And Simulation written by Gerhard A. Holzapfel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-14 with Technology & Engineering categories.
The book presents a state-of-the-art overview of biomechanical and mechanobiological modeling and simulation of soft biological tissues. Seven well-known scientists working in that particular field discuss topics such as biomolecules, networks and cells as well as failure, multi-scale, agent-based, bio-chemo-mechanical and finite element models appropriate for computational analysis. Applications include arteries, the heart, vascular stents and valve implants as well as adipose, brain, collagenous and engineered tissues. The mechanics of the whole cell and sub-cellular components as well as the extracellular matrix structure and mechanotransduction are described. In particular, the formation and remodeling of stress fibers, cytoskeletal contractility, cell adhesion and the mechanical regulation of fibroblast migration in healing myocardial infarcts are discussed. The essential ingredients of continuum mechanics are provided. Constitutive models of fiber-reinforced materials with an emphasis on arterial walls and the myocardium are discussed and the important influence of residual stresses on material response emphasized. The mechanics and function of the heart, the brain and adipose tissues are discussed as well. Particular attention is focused on microstructural and multi-scale modeling, finite element implementation and simulation of cells and tissues.
Theoretical Biomechanics
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Author : Vaclav Klika
language : en
Publisher: IntechOpen
Release Date : 2011-11-25
Theoretical Biomechanics written by Vaclav Klika and has been published by IntechOpen this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-25 with Medical categories.
During last couple of years there has been an increasing recognition that problems arising in biology or related to medicine really need a multidisciplinary approach. For this reason some special branches of both applied theoretical physics and mathematics have recently emerged such as biomechanics, mechanobiology, mathematical biology, biothermodynamics. This first section of the book, General notes on biomechanics and mechanobiology, comprises from theoretical contributions to Biomechanics often providing hypothesis or rationale for a given phenomenon that experiment or clinical study cannot provide. It deals with mechanical properties of living cells and tissues, mechanobiology of fracture healing or evolution of locomotor trends in extinct terrestrial giants. The second section, Biomechanical modelling, is devoted to the rapidly growing field of biomechanical models and modelling approaches to improve our understanding about processes in human body. The last section called Locomotion and joint biomechanics is a collection of works on description and analysis of human locomotion, joint stability and acting forces.
Mechanics Of Biological Systems
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Author : Park Seungman
language : en
Publisher:
Release Date : 1901
Mechanics Of Biological Systems written by Park Seungman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with categories.
