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Dynamics of Complex Interconnected Biological Systems

Dynamics of Complex Interconnected Biological Systems
Author: Jennings
Publisher: Springer Science & Business Media
Total Pages: 345
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468467840

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This volume contains the proceedings of the U.S. Australia workshop on Complex Interconnected Biological Systems held in Albany, Western Australia January 1-5, 1989. The workshop was jointly sponsored by the Department of Industry, Trade and Commerce (Australia), and the Na tional Science Foundation (USA) under the US-Australia agreement. Biological systems are typically hard to study mathematically. This is particularly so in the case of systems with strong interconnections, such as ecosystems or networks of neurons. In the past few years there have been substantial improvements in the mathematical tools available for study ing complexity. Theoretical advances include substantially improved un derstanding of the features of nonlinear systems that lead to important behaviour patterns such as chaos. Practical advances include improved modelling techniques, and deeper understanding of complexity indicators such as fractal dimension. Game theory is now playing an increasingly important role in under standing and describing evolutionary processes in interconnected systems. The strategies of individuals which affect each other's fitness may be incor porated into models as parameters. Strategies which have the property of evolutionary stabilty result from particular parameter values which may be the main feature of living determined using game theoretic methods. Since systems is that they evolve, it seems appropriate that any model used to describe such systems should have this feature as well. Evolutionary game theory should lead the way in the development of such methods.


Dynamics of Complex Interconnected Biological Systems

Dynamics of Complex Interconnected Biological Systems
Author: Leslie Jennings
Publisher: Birkhäuser
Total Pages: 0
Release: 1990-05-01
Genre: Mathematics
ISBN: 9780817635046

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This volume contains the proceedings of the U.S. Australia workshop on Complex Interconnected Biological Systems held in Albany, Western Australia January 1-5, 1989. The workshop was jointly sponsored by the Department of Industry, Trade and Commerce (Australia), and the Na tional Science Foundation (USA) under the US-Australia agreement. Biological systems are typically hard to study mathematically. This is particularly so in the case of systems with strong interconnections, such as ecosystems or networks of neurons. In the past few years there have been substantial improvements in the mathematical tools available for study ing complexity. Theoretical advances include substantially improved un derstanding of the features of nonlinear systems that lead to important behaviour patterns such as chaos. Practical advances include improved modelling techniques, and deeper understanding of complexity indicators such as fractal dimension. Game theory is now playing an increasingly important role in under standing and describing evolutionary processes in interconnected systems. The strategies of individuals which affect each other's fitness may be incor porated into models as parameters. Strategies which have the property of evolutionary stabilty result from particular parameter values which may be the main feature of living determined using game theoretic methods. Since systems is that they evolve, it seems appropriate that any model used to describe such systems should have this feature as well. Evolutionary game theory should lead the way in the development of such methods.


Dynamics of Complex Interconnected Systems: Networks and Bioprocesses

Dynamics of Complex Interconnected Systems: Networks and Bioprocesses
Author: Arne T. Skjeltorp
Publisher: Springer Science & Business Media
Total Pages: 222
Release: 2006-12-22
Genre: Science
ISBN: 1402050305

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This book reviews the synergism between various fields of research that are confronted with networks, such as genetic and metabolic networks, social networks, the Internet and ecological systems. In many cases, the interacting networks manifest so-called emergent properties that are not possessed by any of the individual components. Knowledge gained from the study of complex non-biological systems can be applied to the intricate braided relationships that govern cellular functions.


Understanding the Dynamics of Biological Systems

Understanding the Dynamics of Biological Systems
Author: Werner Dubitzky
Publisher: Springer Science & Business Media
Total Pages: 249
Release: 2011-01-07
Genre: Science
ISBN: 1441979646

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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.


Self-Organized Biological Dynamics and Nonlinear Control

Self-Organized Biological Dynamics and Nonlinear Control
Author: Jan Walleczek
Publisher: Cambridge University Press
Total Pages: 444
Release: 2006-04-20
Genre: Science
ISBN: 1139427598

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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.


Chaos in Biological Systems

Chaos in Biological Systems
Author: Hans Degn
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 1987-10-31
Genre: Science
ISBN: 9780306426858

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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.


Mathematical Modeling in Systems Biology

Mathematical Modeling in Systems Biology
Author: Brian P. Ingalls
Publisher: MIT Press
Total Pages: 423
Release: 2022-06-07
Genre: Science
ISBN: 0262545829

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An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.


Control and Dynamic Systems V34: Advances in Control Mechanics Part 1 of 2

Control and Dynamic Systems V34: Advances in Control Mechanics Part 1 of 2
Author: C.T. Leonides
Publisher: Academic Press
Total Pages: 350
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0323162665

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Control and Dynamic Systems: Advances in Theory and Applications, Volume 34: Advances in Control Mechanics, Part 1 of 2 presents the fundamental aspects of mechanical systems control theory. This book deals with microburst, a severe meteorological condition significant to aircraft control. Organized into seven chapters, this volume begins with an overview of the problem of stable control of an aircraft subjected to windshear caused by microburst. This text then examines the results concerning control of an aircraft under windshear conditions. Other chapters consider the robust control problem using the variable structure control method. This book discusses as well the problem of finding zeros of a nonlinear vector function by using methods of dynamical systems analysis. The final chapter deals with the role of singularities and their effect on the global trait of dynamical systems. This book is a valuable resource for mechanical and materials engineers. Research workers and students will also find this book useful.