The Geometry of Biological Time

The Geometry of Biological Time

Author: Arthur T. Winfree

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 543

ISBN-13: 3662224925

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As 1 review these pages, the last of them written in Summer 1978, some retrospec tive thoughts come to mind which put the whole business into better perspective for me and might aid the prospective reader in choosing how to approach this volume. The most conspicuous thought in my mind at present is the diversity of wholly independent explorations that came upon phase singularities, in one guise or another, during the past decade. My efforts to gather the published literature during the last phases of actually writing a whole book about them were almost equally divided between libraries of Biology, Chemistry, Engineering, Mathematics, Medicine, and Physics. A lot of what 1 call "gathering " was done somewhat in anticipation in the form of cönjecture, query, and prediction based on analogy between developments in different fields. The consequence throughout 1979 was that our long-suffering publisher re peatedly had to replace such material by citation of unexpected flurries of papers giving substantive demonstration. 1 trust that the authors of these many excellent reports, and especially of those I only found too late, will forgive the brevity of allusion I feIt compelled to observe in these substitutions. A residue of loose ends is largely collected in the index under "QUERIES. " It is c1ear to me already that the materials I began to gather several years ago represented only the first flickering of what turns out to be a substantial conflagration.


Evolution Equations, Control Theory, and Biomathematics

Evolution Equations, Control Theory, and Biomathematics

Author: Philippe Clement

Publisher: CRC Press

Published: 1993-11-23

Total Pages: 618

ISBN-13: 9780824788858

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Based on the Third International Workshop Conference on Evolution Equations, Control Theory and Biomathematics, held in Hans-sur-Lesse, Belgium. The papers examine important advances in evolution equations related to physical, engineering and biological applications.


Math and Bio 2010

Math and Bio 2010

Author: Lynn Arthur Steen

Publisher: MAA

Published: 2005

Total Pages: 182

ISBN-13: 9780883858189

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"Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi


Advanced Mathematical Approach to Biology

Advanced Mathematical Approach to Biology

Author: Takeyuki Hida

Publisher: World Scientific

Published: 1997

Total Pages: 320

ISBN-13: 9789810230654

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This volume consists of three papers, the first paper by T Ray aims to create an instantiation of evolution by natural selection in the computational medium. This creates a conceptual problem that requires considerable art to solve.The second paper by K-I Naka and V Bhanot discusses an interesting application of white noise analysis to the retinal physiology. It deals with identification of the retina mathematically, and one can see profound results that can be discovered only by using white noise analysis.The last paper by T Hida illustrates the use of white noise analysis for biologists. Readers will see the types of topics to which white noise analysis can be applied and how to apply the theory to actual phenomena.


Topics On Biomathematics - Proceedings Of The 2nd International Conference

Topics On Biomathematics - Proceedings Of The 2nd International Conference

Author: I Barbieri

Publisher: World Scientific

Published: 1993-10-29

Total Pages: 354

ISBN-13: 9814552720

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The papers presented in the congress can roughly be classified into the following categories: theoretical and statistical mathematics applied to biological systems; image elaboration; dynamics of biological fluids; dynamics and statics of biological structures and computers in biology and medicine.


Current Catalog

Current Catalog

Author: National Library of Medicine (U.S.)

Publisher:

Published: 1983

Total Pages: 1442

ISBN-13:

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First multi-year cumulation covers six years: 1965-70.


Mathematical Biology

Mathematical Biology

Author: James D. Murray

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 782

ISBN-13: 3662085399

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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.


Stochastic Modelling In Biology: Relevant Mathematical Concepts And Recent Applications

Stochastic Modelling In Biology: Relevant Mathematical Concepts And Recent Applications

Author: Tautu Petre

Publisher: #N/A

Published: 1990-12-05

Total Pages: 456

ISBN-13: 9814611921

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These proceedings focus on future prospects as well as on the present status in some important areas of applied probability and mathematical biology. Some papers have educational intentions regarding the mathematical modelling of special biological situations. The workshop was the third one in Heidelberg dealing with stochastic modelling in biology, e.g., cell biology, embryology, oncology, epidemiology and genetics.


Stochastic Transport Processes in Discrete Biological Systems

Stochastic Transport Processes in Discrete Biological Systems

Author: Eckart Frehland

Publisher: Springer Science & Business Media

Published: 2013-03-13

Total Pages: 182

ISBN-13: 3642475116

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These notes are in part based on a course for advanced students in the applications of stochastic processes held in 1978 at the University of Konstanz. These notes contain the results of re cent studies on the stochastic description of ion transport through biological membranes. In particular, they serve as an introduction to an unified theory of fluctuations in complex biological transport systems. We emphasize that the subject of this volume is not to introduce the mathematics of stochastic processes but to present a field of theoretical biophysics in which stochastic methods are important. In the last years the study of membrane noise has become an important method in biophysics. Valuable information on the ion transport mechanisms in membranes can be obtained from noise analysis. A number of different processes such as the opening and closing of ion channels have been shown to be sources of the measured current or voltage fluctuations. Bio logical 'transport systems can be complex. For example, the transport process can be coupled to other processes such as chemical reactions and take place in discontinuous structures of molecular dimensions. Furthermore, since there are strong electric fields or high concentration gradients across biological membranes ion transport processes of biological relevance are mostly processes far from equilibrium. For these reasons the development of new theoretical concepts has been necessary. The concept of transport in discrete systems has turned out to be more appropriate than continuum models.