Dynamics Of Biological Systems

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Dynamics of Biological Systems

Michael Small
Dynamics of Biological Systems Book PDF

Author : Michael Small
Publisher : CRC Press
Page : 286 pages
File Size : 42,5 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.

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 : 55,6 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.

Modeling Dynamic Biological Systems

Bruce Hannon,Matthias Ruth
Modeling Dynamic Biological Systems Book PDF

Author : Bruce Hannon,Matthias Ruth
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 41,7 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.

Understanding the Dynamics of Biological Systems

Werner Dubitzky,Jennifer Southgate,Hendrik Fuß
Understanding the Dynamics of Biological Systems Book PDF

Author : Werner Dubitzky,Jennifer Southgate,Hendrik Fuß
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 52,8 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.

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 : 41,5 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.

Models of Life

Kim Sneppen
Models of Life Book PDF

Author : Kim Sneppen
Publisher : Cambridge University Press
Page : 353 pages
File Size : 48,5 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.

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 : 41,5 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.

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 : 42,7 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?

Stochastic Dynamics for Systems Biology

Christian Mazza,Michel Benaim
Stochastic Dynamics for Systems Biology Book PDF

Author : Christian Mazza,Michel Benaim
Publisher : CRC Press
Page : 274 pages
File Size : 41,6 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

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 : 45,9 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.

Chaos in Biological Systems

Hans Degn,Arunn V. Holden,Lars Folke Olsen
Chaos in Biological Systems Book PDF

Author : Hans Degn,Arunn V. Holden,Lars Folke Olsen
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 43,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781475796315

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Chaos in Biological Systems by Hans Degn,Arunn V. Holden,Lars Folke Olsen Pdf

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.

Thermodynamic Network Analysis of Biological Systems

J. Schnakenberg
Thermodynamic Network Analysis of Biological Systems Book PDF

Author : J. Schnakenberg
Publisher : Springer Science & Business Media
Page : 157 pages
File Size : 47,6 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.

Quantum Dynamics

Eric R. Bittner
Quantum Dynamics Book PDF

Author : Eric R. Bittner
Publisher : CRC Press
Page : 334 pages
File Size : 40,8 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

Computational Modeling of Biological Systems

Nikolay V Dokholyan
Computational Modeling of Biological Systems Book PDF

Author : Nikolay V Dokholyan
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 55,6 Mb
Release : 2012-02-12
Category : Science
ISBN : 9781461421450

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Computational Modeling of Biological Systems by Nikolay V Dokholyan Pdf

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.

Mathematical Modeling of Complex Biological Systems

Abdelghani Bellouquid,Marcello Delitala
Mathematical Modeling of Complex Biological Systems Book PDF

Author : Abdelghani Bellouquid,Marcello Delitala
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 40,8 Mb
Release : 2006-08-17
Category : Science
ISBN : 9780817643959

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Mathematical Modeling of Complex Biological Systems by Abdelghani Bellouquid,Marcello Delitala Pdf

This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.