Some Mathematical Questions in Biology

Some Mathematical Questions in Biology

Author: Robert M. Miura

Publisher: American Mathematical Soc.

Published: 1986-12-31

Total Pages: 142

ISBN-13: 9780821897119

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Several data banks around the world are accumulating DNA sequences at a feverish rate, with tremendous potential for furthering our knowledge of how biological systems code and pass on information. The sophisticated mathematical analysis of that data is just beginning. The Eighteenth Annual Symposium on Some Mathematical Questions in Biology was held in conjunction with the Annual Meeting of the AAAS and brought together speakers knowledgeable in both biology and mathematics to discuss these developments and to emphasize the need for rigorous, efficient computational tools. These computational tools include biologically relevant definitions of sequence similarity and string matching algorithms. The solutions for some of these problems have great generality; the string matching methods first developed for biological sequences have now been applied to areas such as geology, linguistics, and speech recognition. There is a great potential here for creating of new mathematics to handle this growing data base, with new applications for many areas of mathematics, computer science, and statistics.


Some Mathematical Questions in Biology

Some Mathematical Questions in Biology

Author: Alan Hastings

Publisher: American Mathematical Soc.

Published: 1989-12-31

Total Pages: 136

ISBN-13: 9780821897157

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Population biology has had a long history of mathematical modeling. The 1920s and 1930s saw major strides with the work of Lotka and Volterra in ecology and Fisher, Haldane, and Wright in genetics. In recent years, much more sophisticated mathematical techniques have been brought to bear on questions in population biology. Simultaneously, advances in experimental and field work have produced a wealth of new data. While this growth has tended to fragment the field, one unifying theme is that similar mathematical questions arise in a range of biological contexts. This volume contains the proceedings of a symposium on Some Mathematical Questions in Biology, held in Chicago in 1987. The papers all deal with different aspects of population biology, but there are overlaps in the mathematical techniques used; for example, dynamics of nonlinear differential and difference equations form a common theme. The topics covered are cultural evolution, multilocus population genetics, spatially structured population genetics, chaos and the dynamics of epidemics, and the dynamics of ecological communities.


Some Mathematical Questions in Biology

Some Mathematical Questions in Biology

Author: Hans G. Othmer

Publisher: American Mathematical Soc.

Published: 1989-12-31

Total Pages: 196

ISBN-13: 9780821897164

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This volume contains the proceedings of the 22nd annual Symposium on Some Mathematical Questions in Biology, held in May, 1988 in Las Vegas. The diversity of current research in the dynamics of excitable media is reflected in the six papers in this volume. The topics covered include a mathematical treatment of phase-locking, numerical results for models of synchronization in the mammalian sinoatrial node, simulations of a model of the hippocampus, and wave propagation in excitable media. Both experimental and theoretical aspects are treated. Aimed at mathematicians, physiologists, and cardiologists, the book requires only background in differential equations. Readers will gain a broad perspective on current research activity in the modeling, analysis, and simulation of systems with excitable media.


Some Mathematical Questions in Biology, Neurobiology

Some Mathematical Questions in Biology, Neurobiology

Author: Robert M. Miura

Publisher: American Mathematical Soc.

Published: 1982-12-31

Total Pages: 136

ISBN-13: 9780821897096

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This volume contains lectures presented at the 15th annual meeting on mathematical biology, organized by a joint AMS-SIAM committee, as part of the mathematical activities at the annual AAAS meeting, held January 7, 1982, in Washington, D.C. The meeting was devoted to neurobiology, and was very ably organized by Robert M. Miura. Neurobiology is a very large field, and there are many applications of mathematics that could have been selected. Miura and the committee wisely chose to concentrate on one or two topics concerned mainly with the properties of individual neurons and their processes. In summary, this is an excellent collection of articles on some of the more interesting and timely problems of cellular neurobiology. The articles, especially those by Plant, Rinzel, and Nicholson and Phillips, are all excellent expositions of important problems. I recommend this volume to anyone interested in mathematical neurobiology.


Some Mathematical Questions in Biology

Some Mathematical Questions in Biology

Author: Stephen Childress

Publisher: American Mathematical Soc.

Published: 1981-12-31

Total Pages: 228

ISBN-13: 9780821897089

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Deals with two principal areas of theoretical biology: developmental biology, and biomechanics


Some Mathematical Questions in Biology

Some Mathematical Questions in Biology

Author: American Mathematical Society

Publisher: American Mathematical Soc.

Published: 1970-12-31

Total Pages: 170

ISBN-13: 9780821897140

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Discusses biological clocks, plus topics in ecology, neurobiology, and extinction


Selected Topics in Physics, Astrophysics and Biophysics

Selected Topics in Physics, Astrophysics and Biophysics

Author: E. Abecassis de Laredo

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 418

ISBN-13: 9401026335

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This volume contains the lecture notes of ten courses given at the XIV Latin American School of Physics (XIV LASP) which took place in Caracas, Venezuela, from the 10th to the 28th of July 1972. The LASP is held each year in a different Latin American country. Its purpose is to bring together young Latin American physicists at the doctorate level to attend lectures given by well known scientists. The participants are also invited to give seminars on their research work. The topics of the courses given this year were chosen according to the existent fields of interest in Latin America. Two of these courses, namely those covering astrophysics and biophysics were given in such a way as to be accessible to all par ticipants independently of their main field of interest. The XIV LASP has received financial support from institutions in Venezuela and abroad, making possible a meeting of ninety-two Latin American physicists and ten distinguished lecturers. For this we are indebted to the following Institutions: Consejo Nacional de Investigaciones Cientificas y Tecnologicas de Venezuela, Organization of American States, Instituto Venezolano de Investigaciones Cientificas, and its physicists, Universidad Central de Venezuela, Consejo de Desarrollo Cientifico y Humanistico de la U.C.V., Universidad Simon Bolivar, Embassy of U.S.A. in Venezuela, Embassy of France in Venezuela, The British Council in Venezuela, Ministerio de Educacion de Venezuela and the Latin-American Center of Physics.


Catastrophe Theory and Bifurcation (Routledge Revivals)

Catastrophe Theory and Bifurcation (Routledge Revivals)

Author: Alan Wilson

Publisher: Taylor & Francis

Published: 2012-11-12

Total Pages: 342

ISBN-13: 1136599827

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Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly. However, this all changed with the advent of catastrophe theory and bifurcation, which enabled the development of models where a quite sudden change in the position of the equilibrium point results from a slow, small, smooth change in one or more parameters. First published in 1981, this reissue of Professor Wilson’s classic study outlines the implications of these mathematical models for geography and regional science, by way of a survey of contemporary applications.