The Dynamics Of Biological Systems

Author : Arianna Bianchi,Thomas Hillen,Mark A. Lewis,Yingfei Yi
Publisher : Springer Nature
Page : 267 pages
File Size : 50,9 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.

Author : Michael Small
Publisher : CRC Press
Page : 286 pages
File Size : 52,8 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.

Author : Bruce Hannon,Matthias Ruth
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461206514

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Modeling Dynamic Biological Systems by Bruce Hannon,Matthias Ruth Pdf

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.

Author : Jorge Carballido-Landeira,Bruno Escribano
Publisher : Springer
Page : 106 pages
File Size : 52,5 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.

Author : Werner Dubitzky,Jennifer Southgate,Hendrik Fuß
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 47,7 Mb
Release : 2011-01-07
Category : Science
ISBN : 9781441979643

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Understanding the Dynamics of Biological Systems by Werner Dubitzky,Jennifer Southgate,Hendrik Fuß Pdf

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.

Author : Kim Sneppen
Publisher : Cambridge University Press
Page : 353 pages
File Size : 49,8 Mb
Release : 2014-10-02
Category : Science
ISBN : 9781107061903

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Models of Life by Kim Sneppen Pdf

An overview of current models of biological systems, reflecting the major advances that have been made over the past decade.

Author : Jan Walleczek
Publisher : Cambridge University Press
Page : 444 pages
File Size : 43,9 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.

Author : Alan Garfinkel,Jane Shevtsov,Yina Guo
Publisher : Springer
Page : 445 pages
File Size : 47,6 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?

Author : Werner Dubitzky,Jennifer Southgate,Hendrik Fu
Publisher : Unknown
Page : 254 pages
File Size : 54,8 Mb
Release : 2011-03-01
Category : Electronic
ISBN : 1441979654

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Understanding the Dynamics of Biological Systems by Werner Dubitzky,Jennifer Southgate,Hendrik Fu Pdf

Author : J. Schnakenberg
Publisher : Springer Science & Business Media
Page : 157 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642679711

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Thermodynamic Network Analysis of Biological Systems by J. Schnakenberg Pdf

The first edition of this book was greeted with broad interest from readers en gaged in various disciplines of biophysics. I received many stimulating and en couraging responses, however, some of the book's reviewers wanted to stress the fact that an extensive literature of network theory was not included or reported in the book. But the main aspect of the book is intended to be substantive rather than methodical: networks simply serve as a remedy for doing some first steps in analysing and modelling complex biological systems. For an advanced stage in the investigation of a particular system it may be appropriate to replace the pheno menological network method by more detailed techniques like statistical equations or computer simulations. According to this intention, the second edition of the book has been enlarged by further biological examples for network analysis, not by more network theory. There is a completely new section on a network model for photoreception. For this section I am obliged to J. Tiedge who did most of the detailed calculation and to my colleague Professor Stieve with whom we have had a very fruitful cooperation. Also I would like to mention that this work has been sponsored by the "Deutsche Forschungsgemei nschaft" i n the "Sonderforschungsberei ch 160". Recent results for excitable systems represented by feedback networks have also been included in the second edition, especially for limit cycle networks.

Author : Bruce Hannon,Matthias Ruth
Publisher : Springer
Page : 434 pages
File Size : 49,5 Mb
Release : 2014-07-05
Category : Science
ISBN : 9783319056159

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Modeling Dynamic Biological Systems by Bruce Hannon,Matthias Ruth Pdf

Many biologists and ecologists have developed models that find widespread use in theoretical investigations and in applications to organism behavior, disease control, population and metapopulation theory, ecosystem dynamics, and environmental management. This book captures and extends the process of model development by concentrating on the dynamic aspects of these processes and by providing the tools such that virtually anyone with basic knowledge in the Life Sciences can develop meaningful dynamic models. Examples of the systems modeled in the book range from models of cell development, the beating heart, the growth and spread of insects, spatial competition and extinction, to the spread and control of epidemics, including the conditions for the development of chaos. Key features: - easy-to-learn and easy-to-use software - examples from many subdisciplines of biology, covering models of cells, organisms, populations, and metapopulations - no prior computer or programming experience required Key benefits: - learn how to develop modeling skills and system thinking on your own rather than use models developed by others - be able to easily run models under alternative assumptions and investigate the implications of these assumptions for the dynamics of the biological system being modeled - develop skills to assess the dynamics of biological systems

Author : Kim Sneppen
Publisher : Cambridge University Press
Page : 128 pages
File Size : 51,9 Mb
Release : 2014-10-02
Category : Science
ISBN : 9781316061657

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Models of Life by Kim Sneppen Pdf

Reflecting the major advances that have been made in the field over the past decade, this book provides an overview of current models of biological systems. The focus is on simple quantitative models, highlighting their role in enhancing our understanding of the strategies of gene regulation and dynamics of information transfer along signalling pathways, as well as in unravelling the interplay between function and evolution. The chapters are self-contained, each describing key methods for studying the quantitative aspects of life through the use of physical models. They focus, in particular, on connecting the dynamics of proteins and DNA with strategic decisions on the larger scale of a living cell, using E. coli and phage lambda as key examples. Encompassing fields such as quantitative molecular biology, systems biology and biophysics, this book will be a valuable tool for students from both biological and physical science backgrounds.

Author : Erik Mosekilde,Ole G. Mouritsen
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 48,8 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.

Author : Christian Mazza,Michel Benaim
Publisher : CRC Press
Page : 274 pages
File Size : 55,8 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781466514942

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Stochastic Dynamics for Systems Biology by Christian Mazza,Michel Benaim Pdf

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

Author : Eric R. Bittner
Publisher : CRC Press
Page : 334 pages
File Size : 43,9 Mb
Release : 2009-07-21
Category : Science
ISBN : 9781439882146

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Quantum Dynamics by Eric R. Bittner Pdf

Even though time-dependent spectroscopic techniques continue to push the frontier of chemical physics, they receive scant mention in introductory courses and are poorly covered in standard texts. Quantum Dynamics: Applications in Biological and Materials Systems bridges the gap between what is traditionally taught in a one-semester quantum chemistr