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The Geometry Of Biological Time

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The Geometry Of Biological Time

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Author : Arthur T. Winfree
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-08

The Geometry Of Biological Time written by Arthur T. Winfree and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-08 with Mathematics categories.

Dealing with dynamics of processes that repeat themselves regularly, this revised and updated edition extends the thread from 1980 to the present day, concentrating on areas of interest where there will be much activity in the future. This involves going through spatial biochemical, electrophysiological, and organismic dynamical systems and patterns that were discovered by pursuing the theme of phase singularities introduced in the original book. In particular the work on excitability in cell membranes will be thoroughly updated as will the references throughout the book.

The Geometry Of Biological Time

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Author : Arthur T. Winfree
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Geometry of Biological Time deals with dynamics of processes that repeat themselves regularly. Such rhythmic return through a cycle of change is an ubiquitous principle of organization in living systems. In this revised and updated edition the author plans to extend the thread from 1980 to the present concentrating on areas which he personally feels have been interesting and where he feels there will be much activity in the future. This involves going through spatial biochemical, electrophysiological, and organismic dynamical systems and patterns that were discovered by pursuing the theme of phase singularities that the original book introduced. In particular the work on excitability in cell membranes has been thoroughly updated as have the references throughout the book.

The Geometry Of Biological Time

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Author : Arthur T. Winfree
language : en
Publisher:
Release Date : 2014-01-15

The Geometry Of Biological Time written by Arthur T. Winfree and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Perspectives On Organisms

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Author : Giuseppe Longo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-13

Perspectives On Organisms written by Giuseppe Longo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-13 with Science categories.

This authored monograph introduces a genuinely theoretical approach to biology. Starting point is the investigation of empirical biological scaling including their variability, which is found in the literature, e.g. allometric relationships, fractals, etc. The book then analyzes two different aspects of biological time: first, a supplementary temporal dimension to accommodate proper biological rhythms; secondly, the concepts of protension and retention as a means of local organization of time in living organisms. Moreover, the book investigates the role of symmetry in biology, in view of its ubiquitous importance in physics. In relation with the notion of extended critical transitions, the book proposes that organisms and their evolution can be characterized by continued symmetry changes, which accounts for the irreducibility of their historicity and variability. The authors also introduce the concept of anti-entropy as a measure for the potential of variability, being equally understood as alterations in symmetry. By this, the book provides a mathematical account of Gould's analysis of phenotypic complexity with respect to biological evolution. The target audience primarily comprises researchers interested in new theoretical approaches to biology, from physical, biological or philosophical backgrounds, but the book may also be beneficial for graduate students who want to enter this field.

Cell Biology By The Numbers

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Author : Ron Milo
language : en
Publisher: Garland Science
Release Date : 2015-12-07

Cell Biology By The Numbers written by Ron Milo and has been published by Garland Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-07 with Science categories.

A Top 25 CHOICE 2016 Title, and recipient of the CHOICE Outstanding Academic Title (OAT) Award. How much energy is released in ATP hydrolysis? How many mRNAs are in a cell? How genetically similar are two random people? What is faster, transcription or translation?Cell Biology by the Numbers explores these questions and dozens of others provid

Fractal Geometry In Biological Systems

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Author : Philip M. Iannaccone
language : en
Publisher: CRC Press
Release Date : 1996-07-25

Fractal Geometry In Biological Systems written by Philip M. Iannaccone and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-25 with Science categories.

Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.

Control Theory

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Author : J.R. Leigh
language : en
Publisher: IET
Release Date : 2004

Control Theory written by J.R. Leigh and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.

For students or professionals in science, math, or industry--with or without a background in control theory--explains and illustrates the basic concepts underlying the theory, with references to more detailed treatments. Intended as a companion to more traditional approaches, begins with simple concepts such as feedback and stability, and advances to optimization, distributed parameter systems, and other complex ideas. Annotation copyrighted by Book News, Inc., Portland, OR

Biological Clocks Rhythms And Oscillations

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Author : Daniel B. Forger
language : en
Publisher: MIT Press
Release Date : 2024-08-06

Biological Clocks Rhythms And Oscillations written by Daniel B. Forger and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-06 with Science categories.

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.

A Course In Mathematical Biology

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Author : Gerda de Vries
language : en
Publisher: SIAM
Release Date : 2006-07-01

A Course In Mathematical Biology written by Gerda de Vries and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-01 with Mathematics categories.

This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Timing Of Biological Clocks

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Author : Arthur T. Winfree
language : en
Publisher: Macmillan + ORM
Release Date : 1986-11-15

Timing Of Biological Clocks written by Arthur T. Winfree and has been published by Macmillan + ORM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-11-15 with Science categories.

"A clock," writes Arthur T. Winfree, "is not much good if you can't pull out its stem and set it." Similarly, the most critical property of biological clocks--which rhythmically organize the processes of life--is their ability to reset on cue. This ability allows enables biological clocks to regain synchrony with a changing environment (as when we travel across time zones) or to maintain the alignment between certain physiological rhythms and the natural solar day. In The Timing of Biological Clocks, Winfree explores circadian rhythms. In reporting experiments on animals, plants, and single cells, he not only illustrates the principles that guide the resetting of biological clocks but reveals that each of these clocks has a vulnerable phase, a moment in each "turn of the dial" when a cueing stimulus of a particular intensity results in an abnormal, unpredictable resetting--perhaps even annihilating the clock's rhythm entirely. A singular feature of the author's exploration of these phenomena is his use of a range of colors to represent the passage of cyclic time. By this device, Winfree not only removes the purely arbitrary discontinuity of a conventional clock dial but makes reasoning about the real discontinuities of biological clocks transparently clear.

The Geometry Of Biological Time

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