The Dynamics of Biological Systems

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Publisher : Springer Nature
ISBN 13 : 3030225836
Total Pages : 278 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis The Dynamics of Biological Systems by : Arianna Bianchi

Download or read book The Dynamics of Biological Systems written by Arianna Bianchi and published by Springer Nature. This book was released on 2019-10-02 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.

Dynamics of Biological Systems

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Publisher : CRC Press
ISBN 13 : 1439853363
Total Pages : 286 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Dynamics of Biological Systems by : Michael Small

Download or read book Dynamics of Biological Systems written by Michael Small and published by CRC Press. This book was released on 2011-08-25 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the spontaneous rapid firing of cortical neurons to the spatial diffusion of disease epidemics, biological systems exhibit rich dynamic behaviour over a vast range of time and space scales. Unifying many of these diverse phenomena, Dynamics of Biological Systems provides the computational and mathematical platform from which to understand the underlying processes of the phenomena. Through an extensive tour of various biological systems, the text introduces computational methods for simulating spatial diffusion processes in excitable media, such as the human heart, as well as mathematical tools for dealing with systems of nonlinear ordinary and partial differential equations, such as neuronal activation and disease diffusion. The mathematical models and computer simulations offer insight into the dynamics of temporal and spatial biological systems, including cardiac pacemakers, artificial electrical defibrillation, pandemics, pattern formation, flocking behaviour, the interaction of autonomous agents, and hierarchical and structured network topologies. Tools from complex systems and complex networks are also presented for dealing with real phenomenological systems. With exercises and projects in each chapter, this classroom-tested text shows students how to apply a variety of mathematical and computational techniques to model and analyze the temporal and spatial phenomena of biological systems. MATLAB® implementations of algorithms and case studies are available on the author’s website.

Modeling Dynamic Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461206510
Total Pages : 399 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modeling Dynamic Biological Systems by : Bruce Hannon

Download or read book Modeling Dynamic Biological Systems written by Bruce Hannon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models help us understand the dynamics of real-world processes by using the computer to mimic the actual forces that are known or assumed to result in a system's behavior. This book does not require a substantial background in mathematics or computer science.

Understanding the Dynamics of Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1441979646
Total Pages : 249 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Understanding the Dynamics of Biological Systems by : Werner Dubitzky

Download or read book Understanding the Dynamics of Biological Systems written by Werner Dubitzky and published by Springer Science & Business Media. This book was released on 2011-01-07 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a communication platform to bridge the cultural, conceptual, and technological gap among the key systems biology disciplines of biology, mathematics, and information technology. To support this goal, contributors were asked to adopts an approach that appeals to audiences from different backgrounds.

Biological Systems: Nonlinear Dynamics Approach

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Publisher : Springer
ISBN 13 : 303016585X
Total Pages : 111 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Biological Systems: Nonlinear Dynamics Approach by : Jorge Carballido-Landeira

Download or read book Biological Systems: Nonlinear Dynamics Approach written by Jorge Carballido-Landeira and published by Springer. This book was released on 2019-04-29 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusing on medical applications as well as more fundamental questions in biochemistry, it presents recent findings in areas such as control in chemically driven reaction-diffusion systems, electrical wave propagation through heart tissue, neural network growth, chiral symmetry breaking in polymers and mechanochemical pattern formation in the cytoplasm, particularly in the context of cardiac cells. It is a compilation of works, including contributions from international scientists who attended the “2nd BCAM Workshop on Nonlinear Dynamics in Biological Systems,” held at the Basque Center for Applied Mathematics, Bilbao in September 2016. Embracing diverse disciplines and using multidisciplinary approaches – including theoretical concepts, simulations and experiments – these contributions highlight the nonlinear nature of biological systems in order to be able to reproduce their complex behavior. Edited by the conference organizers and featuring results that represent recent findings and not necessarily those presented at the conference, the book appeals to applied mathematicians, biophysicists and computational biologists.

Models of Life

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Publisher : Cambridge University Press
ISBN 13 : 1107061903
Total Pages : 353 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Models of Life by : Kim Sneppen

Download or read book Models of Life written by Kim Sneppen and published by Cambridge University Press. This book was released on 2014-10-02 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of current models of biological systems, reflecting the major advances that have been made over the past decade.

Self-Organized Biological Dynamics and Nonlinear Control

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Publisher : Cambridge University Press
ISBN 13 : 1139427598
Total Pages : 444 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Self-Organized Biological Dynamics and Nonlinear Control by : Jan Walleczek

Download or read book Self-Organized Biological Dynamics and Nonlinear Control written by Jan Walleczek and published by Cambridge University Press. This book was released on 2006-04-20 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of interdisciplinary concepts from nonlinear dynamics, such as self-organization, complexity, coherence, stochastic resonance, fractals and chaos. It comprises 18 chapters written by leading figures in the field and covers experimental and theoretical research, as well as the emerging technological possibilities such as nonlinear control techniques for treating pathological biodynamics, including heart arrhythmias and epilepsy. This book will attract the interest of professionals and students from a wide range of disciplines, including physicists, chemists, biologists, sensory physiologists and medical researchers such as cardiologists, neurologists and biomedical engineers.

Dynamic Biological Organization

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Publisher : Springer Science & Business Media
ISBN 13 : 9401158282
Total Pages : 576 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Dynamic Biological Organization by : Miguel A. Aon

Download or read book Dynamic Biological Organization written by Miguel A. Aon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Biological Organization is a fascinating account of the living organisms as dynamic systems, based on the concept that the spatio-temporal coherence of events within a living system result from the intrinsic dynamics of the processes taking place within that sysem. The authors of this important work, Miguel Aon and Sonia Cortassa have travelled widely to work in some of the leading research laboratories to accumulate a large information base on which to assemble this book. Taking a transdisciplinary approach, the authors draw on work at the interface of biochemistry, genetics, physiology, thermodynamics, kinetics and biomathematics, using mathematical models throughout to corroborate and analyze the biological complexity presented. Emphasizing biological processes occuring at the cellular level. Dynamic Biological Organization gives exciting insights into the experimental and theoretical applications of modern scientific paradigms to fundamental biological processes.

Modeling Life

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Publisher : Springer
ISBN 13 : 3319597310
Total Pages : 456 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Modeling Life by : Alan Garfinkel

Download or read book Modeling Life written by Alan Garfinkel and published by Springer. This book was released on 2017-09-06 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?

Stochastic Dynamics for Systems Biology

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Publisher : CRC Press
ISBN 13 : 1466514949
Total Pages : 274 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Stochastic Dynamics for Systems Biology by : Christian Mazza

Download or read book Stochastic Dynamics for Systems Biology written by Christian Mazza and published by CRC Press. This book was released on 2016-04-19 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

Nonlinear Electrodynamics in Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 146132789X
Total Pages : 589 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Nonlinear Electrodynamics in Biological Systems by : W. Adey

Download or read book Nonlinear Electrodynamics in Biological Systems written by W. Adey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past half century has seen an extraordinary growth in the fields of cellular and molecular biology. From simple morphologi cal concepts of cells as the essential units of living matter there has been an ever-sharper focus on functional organization of living systems, with emphasis on molecular dynamics. Thus, life forms have come to be defined increasingly in terms of metabolism, growth, reproduction and responses to environmental perturbations. Since these properties occur in varying degrees in systems below the level of cellular organization, there has been a blurring of older models that restricted the concepts of life to cellular systems. At the same time, a search has begun for elemental as pects of molecular and atomic behavior that might better define properties common to all life forms. This search has led to an examination of nonlinear behavior in biological macromolecules, whether in response to electrical or chemical stimulation, for example, or as a means of signaling along a molecular chain, or as a means of energy transfer. Experimental knowledge in this area has grown rapidly in the past decade, and in some respects has outstripped theoretical models adequate to ex plain these new observations. Nevertheless, it can be claimed that there is now an impressive body of experiments implicating non linear, nonequilibrium processes as fundamental steps in sequential operations of biological systems.

Chaos in Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1475796315
Total Pages : 319 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos in Biological Systems by : Hans Degn

Download or read book Chaos in Biological Systems written by Hans Degn and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years experimental and numerical studies have shown that chaos is a widespread phenomenon throughout the biological hierarchy ranging from simple enzyme reactions to ecosystems. Although a coherent picture of the fundamental mechanisms responsible for chaotic dynamics has started to appear it is not yet clear what the implications of such dynamics are for biological systems in general. In some systems it appears that chaotic dynamics are associated with a pathological condi tion. In other systems the pathological condition has regular periodic dynamics whilst the normal non-pathological condition has chaotic dyna mics. Since chaotic behaviour is so ubiquitous in nature and since the phenomenon raises some fundamental questions about its implications for biology it seemed timely to organize an interdisciplinary meeting at which leading scientists could meet to exchange ideas, to evaluate the current state of the field and to stipulate the guidelines along which future research should be directed. The present volume contains the contributions to the NATO Advanced Research Workshop on "Chaos in Biological Systems" held at Dyffryn House, St. Nicholas, Cardiff, U. K. , December 8-12, 1986. At this meeting 38 researchers with highly different backgrounds met to present their latest results through lectures and posters and to discuss the applica tions of non-linear techniques to problems of common interest. . In spite of their involvement in the study of chaotic dynamics for several years many of the participants met here for the first time.

Nonlinear Dynamics, Mathematical Biology, And Social Science

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Publisher : CRC Press
ISBN 13 : 0429973039
Total Pages : 132 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics, Mathematical Biology, And Social Science by : Joshua M. Epstein

Download or read book Nonlinear Dynamics, Mathematical Biology, And Social Science written by Joshua M. Epstein and published by CRC Press. This book was released on 2018-03-08 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a series of lectures on mathematical biology, the essential dynamics of complex and crucially important social systems, and the unifying power of mathematics and nonlinear dynamical systems theory.

Computational Modeling of Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461421454
Total Pages : 360 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Computational Modeling of Biological Systems by : Nikolay V Dokholyan

Download or read book Computational Modeling of Biological Systems written by Nikolay V Dokholyan and published by Springer Science & Business Media. This book was released on 2012-02-12 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational modeling is emerging as a powerful new approach to study and manipulate biological systems. Multiple methods have been developed to model, visualize, and rationally alter systems at various length scales, starting from molecular modeling and design at atomic resolution to cellular pathways modeling and analysis. Higher time and length scale processes, such as molecular evolution, have also greatly benefited from new breeds of computational approaches. This book provides an overview of the established computational methods used for modeling biologically and medically relevant systems.

Mechanics of Biological Systems

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643273922
Total Pages : 135 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis Mechanics of Biological Systems by : Seungman Park

Download or read book Mechanics of Biological Systems written by Seungman Park and published by Morgan & Claypool Publishers. This book was released on 2019-11-06 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Biological Complexity and the Dynamics of Life Processes

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Publisher : Elsevier
ISBN 13 : 0080860958
Total Pages : 369 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Biological Complexity and the Dynamics of Life Processes by : J. Ricard

Download or read book Biological Complexity and the Dynamics of Life Processes written by J. Ricard and published by Elsevier. This book was released on 1999-11-01 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to show how supramolecular complexity of cell organization can dramatically alter the functions of individual macromolecules within a cell. The emergence of new functions which appear as a consequence of supramolecular complexity, is explained in terms of physical chemistry. The book is interdisciplinary, at the border between cell biochemistry, physics and physical chemistry. This interdisciplinarity does not result in the use of physical techniques but from the use of physical concepts to study biological problems. In the domain of complexity studies, most works are purely theoretical or based on computer simulation. The present book is partly theoretical, partly experimental and theory is always based on experimental results. Moreover, the book encompasses in a unified manner the dynamic aspects of many different biological fields ranging from dynamics to pattern emergence in a young embryo. The volume puts emphasis on dynamic physical studies of biological events. It also develops, in a unified perspective, this new interdisciplinary approach of various important problems of cell biology and chemistry, ranging from enzyme dynamics to pattern formation during embryo development, thus paving the way to what may become a central issue of future biology.

Dynamical System Theory in Biology: Stability theory and its applications

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Author :
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Dynamical System Theory in Biology: Stability theory and its applications by : Robert Rosen

Download or read book Dynamical System Theory in Biology: Stability theory and its applications written by Robert Rosen and published by John Wiley & Sons. This book was released on 1970 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: