Share

Biological Oscillators: Their Mathematical Analysis

2012-12-02 Science
Download Biological Oscillators: Their Mathematical Analysis PDF Online Free

Author :
Release : 2012-12-02
Genre : Science
Kind : eBook
Book Rating : 826/5 ( reviews)

GET EBOOK


Book Synopsis Biological Oscillators: Their Mathematical Analysis by : Theodosios Pavlidis

Download or read book Biological Oscillators: Their Mathematical Analysis written by Theodosios Pavlidis. This book was released on 2012-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Biological Oscillators: Their Mathematical Analysis introduces the main features of the dynamic properties of biological oscillators and the mathematical techniques necessary for their investigation. It is not a comprehensive description of all known biological oscillators, since this would require a much bigger volume as well as a different type of expertise. Instead certain classes of biological oscillators are described, and then only in as much detail as required for the study of their dynamics. The opening chapter reviews fundamental mathematical concepts and techniques which will be used in the remainder of the book. These include phase plane techniques; asymptotic techniques of Krylov, Bogoliubov, and Mitopolski; and the describing function. Subsequent chapters discuss examples of biological oscillators; phase shifts and phase response curves; the entrainment of oscillators by external inputs; the dynamics of circadian oscillators; effects of changing environment on the dynamics of biological oscillators; the features peculiar to populations of interacting oscillators; and biological phenomena attributable to populations of oscillators.

Biological Oscillators

2012
Download Biological Oscillators PDF Online Free

Author :
Release : 2012
Genre :
Kind : eBook
Book Rating : 507/5 ( reviews)

GET EBOOK


Book Synopsis Biological Oscillators by : Theodosios Pavlidis

Download or read book Biological Oscillators written by Theodosios Pavlidis. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: Biological Oscillators: Their Mathematical Analysis ...

Physics of Biological Oscillators

2021-05-05 Science
Download Physics of Biological Oscillators PDF Online Free

Author :
Release : 2021-05-05
Genre : Science
Kind : eBook
Book Rating : 055/5 ( reviews)

GET EBOOK


Book Synopsis Physics of Biological Oscillators by : Aneta Stefanovska

Download or read book Physics of Biological Oscillators written by Aneta Stefanovska. This book was released on 2021-05-05. 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.

Oscillations in Mathematical Biology

2013-03-13 Mathematics
Download Oscillations in Mathematical Biology PDF Online Free

Author :
Release : 2013-03-13
Genre : Mathematics
Kind : eBook
Book Rating : 807/5 ( reviews)

GET EBOOK


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. This book was released on 2013-03-13. 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.

Biological Clocks, Rhythms, and Oscillations

2024-08-06 Science
Download Biological Clocks, Rhythms, and Oscillations PDF Online Free

Author :
Release : 2024-08-06
Genre : Science
Kind : eBook
Book Rating : 817/5 ( reviews)

GET EBOOK


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. This book was released on 2024-08-06. 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.

You may also like...