Biological Systems Nonlinear Dynamics Approach

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Biological Systems: Nonlinear Dynamics Approach

Jorge Carballido-Landeira,Bruno Escribano
Biological Systems Nonlinear Dynamics Approach Book PDF

Author : Jorge Carballido-Landeira,Bruno Escribano
Publisher : Springer
Page : 106 pages
File Size : 54,5 Mb
Release : 2019-04-29
Category : Mathematics
ISBN : 9783030165857

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Biological Systems: Nonlinear Dynamics Approach by Jorge Carballido-Landeira,Bruno Escribano Pdf

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.

Nonlinear Dynamics in Biological Systems

Jorge Carballido-Landeira,Bruno Escribano
Nonlinear Dynamics in Biological Systems Book PDF

Author : Jorge Carballido-Landeira,Bruno Escribano
Publisher : Springer
Page : 128 pages
File Size : 40,5 Mb
Release : 2016-07-20
Category : Science
ISBN : 9783319330549

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Nonlinear Dynamics in Biological Systems by Jorge Carballido-Landeira,Bruno Escribano Pdf

This book presents recent research results relating to applications of nonlinear dynamics, focusing specifically on four topics of wide interest: heart dynamics, DNA/RNA, cell mobility, and proteins. The book derives from the First BCAM Workshop on Nonlinear Dynamics in Biological Systems, held in June 2014 at the Basque Center of Applied Mathematics (BCAM). At this international meeting, researchers from different but complementary backgrounds, including molecular dynamics, physical chemistry, bio-informatics and biophysics, presented their most recent results and discussed the future direction of their studies using theoretical, mathematical modeling and experimental approaches. Such was the level of interest stimulated that the decision was taken to produce this publication, with the organizers of the event acting as editors. All of the contributing authors are researchers working on diverse biological problems that can be approached using nonlinear dynamics. The book will appeal especially to applied mathematicians, biophysicists, and computational biologists.

Biological Systems

Jorge Carballido-Landeira,Bruno Escribano
Biological Systems Book PDF

Author : Jorge Carballido-Landeira,Bruno Escribano
Publisher : Unknown
Page : 128 pages
File Size : 49,8 Mb
Release : 2019
Category : Biological systems
ISBN : 3030165868

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Biological Systems by Jorge Carballido-Landeira,Bruno Escribano Pdf

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.

Modelling the Dynamics of Biological Systems

Erik Mosekilde,Ole G. Mouritsen
Modelling the Dynamics of Biological Systems Book PDF

Author : Erik Mosekilde,Ole G. Mouritsen
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642792908

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Modelling the Dynamics of Biological Systems by Erik Mosekilde,Ole G. Mouritsen Pdf

The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.

Self-Organized Biological Dynamics and Nonlinear Control

Jan Walleczek
Self Organized Biological Dynamics and Nonlinear Control Book PDF

Author : Jan Walleczek
Publisher : Cambridge University Press
Page : 444 pages
File Size : 51,7 Mb
Release : 2006-04-20
Category : Science
ISBN : 9781139427593

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Self-Organized Biological Dynamics and Nonlinear Control by Jan Walleczek Pdf

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.

The Dynamics of Biological Systems

Arianna Bianchi,Thomas Hillen,Mark A. Lewis,Yingfei Yi
The Dynamics of Biological Systems Book PDF

Author : Arianna Bianchi,Thomas Hillen,Mark A. Lewis,Yingfei Yi
Publisher : Springer Nature
Page : 267 pages
File Size : 42,9 Mb
Release : 2019-10-02
Category : Mathematics
ISBN : 9783030225834

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The Dynamics of Biological Systems by Arianna Bianchi,Thomas Hillen,Mark A. Lewis,Yingfei Yi Pdf

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.

Future Directions of Nonlinear Dynamics in Physical and Biological Systems

P.L. Christiansen,J.C. Eilbeck,R.D. Parmentier
Future Directions of Nonlinear Dynamics in Physical and Biological Systems Book PDF

Author : P.L. Christiansen,J.C. Eilbeck,R.D. Parmentier
Publisher : Springer Science & Business Media
Page : 549 pages
File Size : 42,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489916099

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Future Directions of Nonlinear Dynamics in Physical and Biological Systems by P.L. Christiansen,J.C. Eilbeck,R.D. Parmentier Pdf

Early in 1990 a scientific committee was formed for the purpose of organizing a high-level scientific meeting on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scott's 60th birthday (December 25, 1991). As preparations for the meeting proceeded, they were met with an unusually broad-scale and high level of enthusiasm on the part of the international nonlinear science community, resulting in a participation by 168 scientists from 23 different countries in the conference, which was held July 23 to August 11992 at the Laboratory of Applied Mathematical Physics and the Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) of the Technical University of Denmark. During the meeting about 50 lectures and 100 posters were presented in 9 working days. The contributions to this present volume have been grouped into the following chapters: 1. Integrability, Solitons, and Coherent Structures 2. Nonlinear Evolution Equations and Diffusive Systems 3. Chaotic and Stochastic Dynamics 4. Classical and Quantum Lattices and Fields 5. Superconductivity and Superconducting Devices 6. Nonlinear Optics 7. Davydov Solitons and Biomolecular Dynamics 8. Biological Systems and Neurophysics. AI Scott has made early and fundamental contributions to many of these different areas of nonlinear science. They form an important subset of the total number of the papers and posters presented at the meeting. Other papers from the meeting are being published in a special issue of Physica D Nonlinear Phenomena.

Nonlinear and Complex Dynamics

José António Tenreiro Machado,Dumitru Baleanu,Albert C. J. Luo
Nonlinear and Complex Dynamics Book PDF

Author : José António Tenreiro Machado,Dumitru Baleanu,Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 55,6 Mb
Release : 2011-08-28
Category : Technology & Engineering
ISBN : 146140231X

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Nonlinear and Complex Dynamics by José António Tenreiro Machado,Dumitru Baleanu,Albert C. J. Luo Pdf

Nonlinear Dynamics of Complex Systems describes chaos, fractal and stochasticities within celestial mechanics, financial systems and biochemical systems. Part I discusses methods and applications in celestial systems and new results in such areas as low energy impact dynamics, low-thrust planar trajectories to the moon and earth-to-halo transfers in the sun, earth and moon. Part II presents the dynamics of complex systems including bio-systems, neural systems, chemical systems and hydro-dynamical systems. Finally, Part III covers economic and financial systems including market uncertainty, inflation, economic activity and foreign competition and the role of nonlinear dynamics in each.

Nonlinear Electrodynamics in Biological Systems

W. Adey
Nonlinear Electrodynamics in Biological Systems Book PDF

Author : W. Adey
Publisher : Springer Science & Business Media
Page : 589 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461327899

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Nonlinear Electrodynamics in Biological Systems by W. Adey Pdf

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.

Dynamical Systems in Population Biology

Xiao-Qiang Zhao
Dynamical Systems in Population Biology Book PDF

Author : Xiao-Qiang Zhao
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 44,5 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9780387217611

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Dynamical Systems in Population Biology by Xiao-Qiang Zhao Pdf

Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

Nonlinear Dynamics and Chaos

Steven H. Strogatz
Nonlinear Dynamics and Chaos Book PDF

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 45,9 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Dynamics of Biological Systems

Michael Small
Dynamics of Biological Systems Book PDF

Author : Michael Small
Publisher : CRC Press
Page : 286 pages
File Size : 43,9 Mb
Release : 2011-08-25
Category : Mathematics
ISBN : 9781439853368

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Dynamics of Biological Systems by Michael Small Pdf

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.

Dynamical Systems for Biological Modeling

Fred Brauer,Christopher Kribs
Dynamical Systems for Biological Modeling Book PDF

Author : Fred Brauer,Christopher Kribs
Publisher : CRC Press
Page : 482 pages
File Size : 52,7 Mb
Release : 2015-12-23
Category : Mathematics
ISBN : 9781498774048

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Dynamical Systems for Biological Modeling by Fred Brauer,Christopher Kribs Pdf

Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.The approach emphasizes qualitative ideas rather than explicit computa

Nonlinear Dynamics, Mathematical Biology, and Social Science

Joshua M. Epstein
Nonlinear Dynamics Mathematical Biology and Social Science Book PDF

Author : Joshua M. Epstein
Publisher : CRC Press
Page : 177 pages
File Size : 53,5 Mb
Release : 2018-03-08
Category : Mathematics
ISBN : 9780429961953

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Nonlinear Dynamics, Mathematical Biology, and Social Science by Joshua M. Epstein Pdf

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.

Modeling Life

Alan Garfinkel,Jane Shevtsov,Yina Guo
Modeling Life Book PDF

Author : Alan Garfinkel,Jane Shevtsov,Yina Guo
Publisher : Springer
Page : 445 pages
File Size : 47,8 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9783319597317

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Modeling Life by Alan Garfinkel,Jane Shevtsov,Yina Guo Pdf

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?