Oscillations in Mathematical Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642464807
Total Pages : 205 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Oscillations in Mathematical Biology by : J.P.E. Hodgson

Download or read book Oscillations in Mathematical Biology written by J.P.E. Hodgson and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are based on talks given at a one day conference held on the campus of Adelphi University in April 1982. The conference was organized with the title "Oscillations in Mathematical Biology;" however the speakers were allowed considerable latitutde in their choice of topics. In the event, the talks all concerned the dynamics of non-linear systems arising in biology so that the conference achieved a good measure of cohesion. Some of the speakers cho~e not to submit a manuscript for these proceedings, feeling that their material was too conjectural to be committed to print. Also the paper of Rinzel and Troy is a distillation of the two separate talks that the authors gave. Otherwise the material reproduces the conference proceedings. The conference was made possible by the generous support of the Office of the Dean of the College of Arts and Sciences at Adelphi. The bulk of the organization of the conference was carried out by Dr. Ronald Grisell whose energy was in large measure responsible for the success of the conference.

Nonlinear Oscillations in Biology

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Oscillations in Biology by : F. C. Hoppensteadt

Download or read book Nonlinear Oscillations in Biology written by F. C. Hoppensteadt and published by . This book was released on 1979 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Oscillation and Stability of Delay Models in Biology

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Publisher : Springer
ISBN 13 : 3319065572
Total Pages : 347 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Oscillation and Stability of Delay Models in Biology by : Ravi P. Agarwal

Download or read book Oscillation and Stability of Delay Models in Biology written by Ravi P. Agarwal and published by Springer. This book was released on 2014-06-07 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental variation plays an important role in many biological and ecological dynamical systems. This monograph focuses on the study of oscillation and the stability of delay models occurring in biology. The book presents recent research results on the qualitative behavior of mathematical models under different physical and environmental conditions, covering dynamics including the distribution and consumption of food. Researchers in the fields of mathematical modeling, mathematical biology, and population dynamics will be particularly interested in this material.

Nonlinear Oscillations in Biology

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Publisher :
ISBN 13 : 9780608059822
Total Pages : 263 pages
Book Rating : 4.0/5 (598 download)

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Book Synopsis Nonlinear Oscillations in Biology by : Summer Seminar on Applied Mathematics Staff

Download or read book Nonlinear Oscillations in Biology written by Summer Seminar on Applied Mathematics Staff and published by . This book was released on with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Mathematical Biology

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Publisher : Springer
ISBN 13 : 3319296388
Total Pages : 172 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Introduction to Mathematical Biology by : Ching Shan Chou

Download or read book Introduction to Mathematical Biology written by Ching Shan Chou and published by Springer. This book was released on 2016-04-27 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

Nonlinear Oscillations in Biology and Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642933181
Total Pages : 296 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Nonlinear Oscillations in Biology and Chemistry by : Hans G. Othmer

Download or read book Nonlinear Oscillations in Biology and Chemistry written by Hans G. Othmer and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a meeting entitled 'Nonlinear Oscillations in Biology and Chemistry', which was held at the University of Utah May 9-11,1985. The papers fall into four major categories: (i) those that deal with biological problems, particularly problems arising in cell biology, (ii) those that deal with chemical systems, (iii) those that treat problems which arise in neurophysiology, and (iv), those whose primary emphasis is on more general models and the mathematical techniques involved in their analysis. Except for the paper by Auchmuty, all are based on talks given at the meeting. The diversity of papers gives some indication of the scope of the meeting, but the printed word conveys neither the degree of interaction between the participants nor the intellectual sparks generated by that interaction. The meeting was made possible by the financial support of the Department of Mathe matics of the University of Utah. I am indebted to Ms. Toni Bunker of the Department of Mathematics for her very able assistance on all manner of details associated with the organization of the meeting. Finally, a word of thanks to all participants for their con tributions to the success of the meeting, and to the contributors to this volume for their efforts in preparing their manuscripts.

Biological Clocks, Rhythms, and Oscillations

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Publisher : MIT Press
ISBN 13 : 0262036770
Total Pages : 369 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Biological Clocks, Rhythms, and Oscillations by : Daniel B. Forger

Download or read book Biological Clocks, Rhythms, and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2017-11-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.

Foundations of Mathematical Biology

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Publisher : Academic Press
ISBN 13 : 1483271854
Total Pages : 431 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Foundations of Mathematical Biology by : Robert J. Rosen

Download or read book Foundations of Mathematical Biology written by Robert J. Rosen and published by Academic Press. This book was released on 2013-09-03 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mathematical Biology, Volume III, is devoted to the treatment of behavior of whole organisms and groups of organisms. The viewpoint taken throughout the book is a holistic, phenomenological one. That is, the integrated behavior of these organisms and groups of organisms is not, in general, referred back to specific structural properties of interacting subunits (as in a reductionist scheme), but is rather treated on its own terms without invoking the properties of lower levels of organization. The book begins with an overview of organization and control in physiological systems, with emphasis on the mathematical techniques involved in more detailed investigations of specific physiological mechanisms. Separate chapters cover the cardiovascular system, with particular reference to blood flow; gross problems of organic form; a relational overview of physics, biology, and sociology; the automata theory in the context of the central nervous system; and populations of interacting organisms. The final chapter discusses the material presented in the entire work, some of its philosophical presuppositions and implications, and the possibility of constructing a unified theory of mathematical biology.

Topics in Mathematical Biology

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Publisher : Springer
ISBN 13 : 331965621X
Total Pages : 353 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Topics in Mathematical Biology by : Karl Peter Hadeler

Download or read book Topics in Mathematical Biology written by Karl Peter Hadeler and published by Springer. This book was released on 2017-12-20 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

Stability and Oscillations in Delay Differential Equations of Population Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401579202
Total Pages : 514 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Stability and Oscillations in Delay Differential Equations of Population Dynamics by : K. Gopalsamy

Download or read book Stability and Oscillations in Delay Differential Equations of Population Dynamics written by K. Gopalsamy and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.

Nonlinear Oscillations in Biology

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (614 download)

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Book Synopsis Nonlinear Oscillations in Biology by : Frank C. Hoppensteadt

Download or read book Nonlinear Oscillations in Biology written by Frank C. Hoppensteadt and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics of Biological Oscillators

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Publisher : Springer Nature
ISBN 13 : 3030598055
Total Pages : 431 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Physics of Biological Oscillators by : Aneta Stefanovska

Download or read book Physics of Biological Oscillators written by Aneta Stefanovska and published by Springer Nature. This book was released on 2021-05-05 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on a selection of invited presentations from a topical workshop, focusses on time-variable oscillations and their interactions. The problem is challenging, because the origin of the time variability is usually unknown. In mathematical terms, the oscillations are non-autonomous, reflecting the physics of open systems where the function of each oscillator is affected by its environment. Time-frequency analysis being essential, recent advances in this area, including wavelet phase coherence analysis and nonlinear mode decomposition, are discussed. Some applications to biology and physiology are described. Although the most important manifestation of time-variable oscillations is arguably in biology, they also crop up in, e.g. astrophysics, or for electrons on superfluid helium. The book brings together the research of the best international experts in seemingly very different disciplinary areas.

Mathematical Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3662085399
Total Pages : 782 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Mathematical Biology by : James D. Murray

Download or read book Mathematical Biology written by James D. Murray and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical biology - the use of mathematical ideas and models in the biosciences - is a fast growing, very exciting and increasingly important inderdisciplinary field. This textbook is an account of some of the major techniques and models used and of some genuine practical applications drawn from current areas of research interest in, for example, population ecology, developmental biology, physiology, epidemiology and evolution. It provides the reader with a thorough background, sufficient to start genuine interdisciplinary collaborative reserach with biomedical scientists.

Mathematical Models in Biology

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Publisher : SIAM
ISBN 13 : 9780898719147
Total Pages : 629 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Mathematical Models in Biology by : Leah Edelstein-Keshet

Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Oscillation Theory for Neutral Differential Equations with Delay

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Publisher : CRC Press
ISBN 13 : 9780750301428
Total Pages : 296 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Oscillation Theory for Neutral Differential Equations with Delay by : D.D Bainov

Download or read book Oscillation Theory for Neutral Differential Equations with Delay written by D.D Bainov and published by CRC Press. This book was released on 1991-01-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: With neutral differential equations, any lack of smoothness in initial conditions is not damped and so they have proven to be difficult to solve. Until now, there has been little information to help with this problem. Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these equations. It examines equations of first, second, and higher orders as well as the asymptotic behavior for tending toward infinity. These results are then generalized for partial differential equations of neutral type. The book also describes the historical development of the field and discusses applications in mathematical models of processes and phenomena in physics, electrical control and engineering, physical chemistry, and mathematical biology. This book is an important tool not only for mathematicians, but also for specialists in many fields including physicists, engineers, and biologists. It may be used as a graduate-level textbook or as a reference book for a wide range of subjects, from radiophysics to electrical and control engineering to biological science.

Computational Cell Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 0387224599
Total Pages : 484 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Computational Cell Biology by : Christopher P. Fall

Download or read book Computational Cell Biology written by Christopher P. Fall and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to dynamic modeling in molecular cell biology, taking a computational and intuitive approach. Detailed illustrations, examples, and exercises are included throughout the text. Appendices containing mathematical and computational techniques are provided as a reference tool.

Nonlinear Oscillations in Biology and Chemistry

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Publisher :
ISBN 13 : 9783642933196
Total Pages : 304 pages
Book Rating : 4.9/5 (331 download)

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Book Synopsis Nonlinear Oscillations in Biology and Chemistry by : Hans G Othmer

Download or read book Nonlinear Oscillations in Biology and Chemistry written by Hans G Othmer and published by . This book was released on 1986-05-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: