Mathematical Models and Methods for Living Systems

Mathematical Models and Methods for Living Systems PDF Author: Luigi Preziosi
Publisher: Springer
ISBN: 3319426796
Category : Mathematics
Languages : en
Pages : 332

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Book Description
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.

Mathematical Models and Methods for Living Systems

Mathematical Models and Methods for Living Systems PDF Author: Luigi Preziosi
Publisher: Springer
ISBN: 3319426796
Category : Mathematics
Languages : en
Pages : 332

Get Book Here

Book Description
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.

Computer Methods in Biomechanics and Biomedical Engineering

Computer Methods in Biomechanics and Biomedical Engineering PDF Author: Amit Gefen
Publisher: Springer
ISBN: 3319597647
Category : Technology & Engineering
Languages : en
Pages : 258

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Book Description
This edited volume collects the research results presented at the 14th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, Tel Aviv, Israel, 2016. The topical focus includes, but is not limited to, cardiovascular fluid dynamics, computer modeling of tissue engineering, skin and spine biomechanics, as well as biomedical image analysis and processing. The target audience primarily comprises research experts in the field of bioengineering, but the book may also be beneficial for graduate students alike.

IUTAM Symposium on Cellular, Molecular and Tissue Mechanics

IUTAM Symposium on Cellular, Molecular and Tissue Mechanics PDF Author: Krishna Garikipati
Publisher: Springer Science & Business Media
ISBN: 9048133483
Category : Technology & Engineering
Languages : en
Pages : 273

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Book Description
The invited papers in this book reflect the current understanding of the role mechanics play in the biological system at the molecular, cellular and tissue levels. Topics range from tissue engineering and mechanics to mechanics of cells and biomolecules.

Book of abstracts 2nd International Conference on Material Modelling

Book of abstracts 2nd International Conference on Material Modelling PDF Author: Jacques Besson
Publisher: Presses des MINES
ISBN: 2911256611
Category :
Languages : en
Pages : 37

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Book Description


Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging PDF Author: Ke Chen
Publisher: Springer Nature
ISBN: 3030986616
Category : Mathematics
Languages : en
Pages : 1981

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Book Description
This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision. Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.

Biomechanics of Coronary Atherosclerotic Plaque

Biomechanics of Coronary Atherosclerotic Plaque PDF Author:
Publisher: Academic Press
ISBN: 0128171960
Category : Science
Languages : en
Pages : 688

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Book Description
Biomechanics of Coronary Atherosclerotic Plaque: From Model to Patient, First Edition, is the first comprehensive text to focus on important biomechanical studies conducted in the last decade that have increased our understanding of coronary atherosclerotic plaque initiation, growth, and rupture, as well as improving the design of medical devices and clinical interventions, including surgical procedures. The book provides students, researchers, engineers, clinicians, and interventional cardiologists with an overview of the main topics related to the biomechanics of atherosclerosis, in a single volume written by several experts in the field. This volume is part of the Biomechanics of Living Organs book series. The biomechanics of human soft tissues and organs has been an emerging research field since the publication of Y.C. Fung's original book series in the 1990s. The publication of such books entirely dedicated to a specific biomechanical subject is necessary to advance scientific research in the field of biomechanics and to transfer important knowledge to future generations. Therefore, this series of volumes on the biomechanics of living organs has been created. This series began in July 2017 with the publication of a first volume on the fundamentals of Hyperelastic Constitutive Laws for Finite Element Modeling of Living Organs. The current volume on the Biomechanics of Coronary Atherosclerotic Plaque, is the latest in this new series. - Presents the main computational fluid dynamic studies performed, describing blood flow in healthy and pathological artery branches, including in coronary bifurcations - Highlights the correlation between plaque initiation regions and blood shear stress amplitude - Discusses the main biomechanical and mechanobiological models to highlight the importance of quantifying the residual and peak cap stresses and the presence of μ-calcifications to evaluate the risk of plaque rupture - Introduces the most recent intravascular imaging biomarker techniques (elastography, palpography and modulography)

Crystallography

Crystallography PDF Author: Nevil Story-Maskelyne
Publisher:
ISBN:
Category : Crystallography
Languages : en
Pages : 552

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Book Description


An Introductory Text To Bioengineering

An Introductory Text To Bioengineering PDF Author: Shu Chien
Publisher: World Scientific Publishing Company
ISBN: 9813101547
Category : Science
Languages : en
Pages : 563

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Book Description
This bestselling textbook will introduce undergraduate bioengineering students to the fundamental concepts and techniques, with the basic theme of integrative bioengineering. It covers bioengineering of several body systems, organs, tissues, and cells, integrating physiology at these levels with engineering concepts and approaches; novel developments in tissue engineering, regenerative medicine, nanoscience and nanotechnology; state-of-the-art knowledge in systems biology and bioinformatics; and socio-economic aspects of bioengineering.One of the distinctive features of the book is that it is integrative in nature (integration of biology, medicine and engineering, across different levels of the biological hierarchy, and basic knowledge with applications). It is unique in that it covers fundamental aspects of bioengineering, cutting-edge frontiers, and practical applications, as well as perspectives of bioengineering development. Furthermore, it covers important socio-economical aspects of bioengineering such as ethics and entrepreneurism.

Stochastic Elasticity

Stochastic Elasticity PDF Author: L. Angela Mihai
Publisher: Springer Nature
ISBN: 3031066928
Category : Mathematics
Languages : en
Pages : 283

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Book Description
Stochastic elasticity is a fast developing field that combines nonlinear elasticity and stochastic theories in order to significantly improve model predictions by accounting for uncertainties in the mechanical responses of materials. However, in contrast to the tremendous development of computational methods for large-scale problems, which have been proposed and implemented extensively in recent years, at the fundamental level, there is very little understanding of the uncertainties in the behaviour of elastic materials under large strains. Based on the idea that every large-scale problem starts as a small-scale data problem, this book combines fundamental aspects of finite (large-strain) elasticity and probability theories, which are prerequisites for the quantification of uncertainties in the elastic responses of soft materials. The problems treated in this book are drawn from the analytical continuum mechanics literature and incorporate random variables as basic concepts along with mechanical stresses and strains. Such problems are interesting in their own right but they are also meant to inspire further thinking about how stochastic extensions can be formulated before they can be applied to more complex physical systems.

Elastin and Elastic Tissue

Elastin and Elastic Tissue PDF Author: L. Sandberg
Publisher: Springer Science & Business Media
ISBN: 1468490931
Category : Science
Languages : en
Pages : 762

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Book Description
Although elastin was first identified and purifled in 1840, relatively few, major advances to determine its structure and function occurred between then and 1970. This was pointed out by Carl Franzblau in his recent review (1). This sad state of affairs does not detract, however, from the importance of contributions made during the last 50 years; many of these are referred to in the various chapters that comprise this monograph. I would be remiss not to emphasize the pioneering work of S. M. Partridge, who, in 1955, reported on a technique to obtain virtually pure elastin. It was, indeed, a privilege to have the participation of Dr. Partridge in the First International Conference on Elastin, the proceedings of which constitute this volume. In 1974, the Division of Lung Diseases of the National Heart, Lung, and Blood Institute initiated a targeted research program on "Isolation and Purification of Lung Elastin". It was an asset to the program that it attracted eminent scientists who, in effect, stimulated a new wave of interest and activity in this neglected area of research. This resurgence of interest may have been due to the challenge of working with a tissue that presented difficulties which had in the past discour aged investigators. It soon became apparent that the research program initiated by the Division of Lung Diseases was attracting much interest and that many significant contributions would result from it.