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, 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: 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
Some Mathematical Questions in Biology

Author: Louis J. Gross

Publisher: American Mathematical Soc.

Published: 1986-12-31

Total Pages: 284

ISBN-13: 9780821897126

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Distinguishing itself among other books on mathematics in plant biology, this book is unique in that it presents a broad overview of how plant biologists are currently utilizing mathematics in their research, and the only one to particularly emphasize plant ecology. Each article is unified by an attempt to tie models at one level of organization to an understanding at other levels. This approach strengthens the connections between theoretical development and observable biology, facilitating the testing of new predictions. Intended for mathematicians, plant biologists and ecologists alike, this book requires only a basic knowledge of differential equations, linear algebra and mathematical modeling; a knowledge of plant biology is helpful. Readers will gain a perspective on what types of biological systems can benefit from mathematical treatment and an appreciation of the current important problems in plant biology.

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: Simon A. Levin

Publisher: American Mathematical Soc.

Published: 1979-12-31

Total Pages: 232

ISBN-13: 9780821897065

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Deals with problems in epidemiology, allergic reactions, resource management, and presents a model of respiration

Some Mathematical Questions in Biology--sex Allocation and Sex Change
Some Mathematical Questions in Biology--sex Allocation and Sex Change

Author: Marc Mangel

Publisher: American Mathematical Soc.

Published: 1990-10-26

Total Pages: 220

ISBN-13: 9780821897171

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The seven articles in this volume are based on lectures presented at the annual symposium, Some Mathematical Questions in Biology, held in conjunction with the American Institute of Biological Sciences meeting in Toronto, Ontario in August 1989. Sexual selection, sex determination, and sex allocation have been at the center of evolutionary ecology since its inception and have played an important role in the development of many concepts. As this volume demonstrates, many key questions remain to be investigated through a combination of empirical and theoretical work. In addition, questions of sex provide a natural mechanism for crossing the great taxonomic divide by allowing plant and animal researchers to focus on similar kinds of questions using a wide variety of organisms.

Some Mathematical Questions in Biology--muscle Physiology
Some Mathematical Questions in Biology--muscle Physiology

Author: Robert M. Miura

Publisher: American Mathematical Soc.

Published: 1986-12-31

Total Pages: 250

ISBN-13: 9780821897102

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Currently the outstanding problem in muscle contraction is determining the mechanism for the sliding of actin and myosin filaments. This volume contains papers based on lectures presented at the Seventeenth Annual Symposium on Some Mathematical Questions in Biology which was held in conjunction with the Annual Meeting of the AAAS. The six papers deal with overlapping areas of muscle physiology: cross-bridge dynamics (the mechanism currently receiving most attention), as well as distinctions between striated and cardiac muscles and the control of muscular contractions by action potentials. Focusing on both experimental techniques and theoretical underpinnings, the authors present the recent technological advances that provide an improved database for obtaining a better understanding of the biochemical mechanics and developing better mathematical models. In the first article Dr. Hugh E. Huxley reviews current studies of muscle systems which use X-ray diffraction and electron-microscopic analysis. Dr. Even Eisenberg describes how ATP hydrolysis drives muscle contraction via the action of myosin cross-bridges. The next two papers contain mathematical studies of muscle contraction. Dr. Michael Propp uses a thermodynamic formalism to predict the physiological properties of muscle. Drs. H. Michael Lacker and Charles S. Peskin develop a mathematical method for working backwards to determine uniquely microscopic properties of the cross-bridges. Drs. John W. Krueger and Katsuhiko Tsujioka use light diffraction observations to develop a quantitative understanding of cardiac function from properties of the myofibril and elements of the cross-bridge cycle. In the concluding paper, Dr. Robert S. Eisenberg reviews the current work on the electrical control mechanisms in excitation-contraction coupling which lead to muscle contraction.

Mathematical Problems in Biology
Mathematical Problems in Biology

Author: P. van den Driessche

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 290

ISBN-13: 3642454550

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A conference on "Some Mathematical Problems in Biology" was held at the University of Victoria, Victoria, B. C. , Canada, from May 7 - 10, 1973. The participants and invited speakers were mathematicians interested in problems of a biological nature, and scientists actively engaged in developing mathematical models in biological fields. One aim of the conference was to attempt to assess what the recent rapid growth of mathematical interaction with the biosciences has accomplished and may accomplish in the near future. The conference also aimed to expose the problems of communication bet~",een mathematicians and biological scientists, and in doing so to stimulate the interchange of ideas. It was recognised that the topic spans an enormous breadth, and little attempt was made to balance the very diverse areas. Widespread active interest was shown in the conference, and just over one hundred people registered. The varied departments and institutions across North America from which the participants came made it both academically and geographically mixed. The chief activity of the conference was the presentation of papers. Nine invited guest speakers (see table of contents) each gave a one hour talk. These covered a wide range of topics. There were twenty-five shorter (twenty minute) contributed papers, and almost all papers l,rere followed by a five minute question and discussion period. Duplicated abstracts of presented papers were available at the meeting. An evening informal discussion meeting of participants, chaired by Dr. A. B. Tayler, and led by Drs. E. M. Hagmeier, E. C.

Mathematical Topics in Population Biology, Morphogenesis and Neurosciences
Mathematical Topics in Population Biology, Morphogenesis and Neurosciences

Author: Ei Teramoto

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 359

ISBN-13: 3642933602

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This volume represents the edited proceedings of the International Symposium on Mathematical Biology held in Kyoto, November 10-15, 1985. The symposium was or ganized by an international committee whose members are: E. Teramoto, M. Yamaguti, S. Amari, S.A. Levin, H. Matsuda, A. Okubo, L.M. Ricciardi, R. Rosen, and L.A. Segel. The symposium included technical sessions with a total of 11 invited papers, 49 contributed papers and a poster session where 40 papers were displayed. These Proceedings consist of selected papers from this symposium. This symposium was the second Kyoto meeting on mathematical topics in biology. The first was held in conjunction with the Sixth International Biophysics Congress in 1978. Since then this field of science has grown enormously, and the number of scientists in the field has rapidly increased. This is also the case in Japan. About 80 young japanese scientists and graduate students participated this time. . The sessions were divided into 4 ; , categories: 1) Mathematical Ecology and Population Biology, 2) Mathematical Theory of Developmental Biology and Morphogenesis, 3) Theoretical Neurosciences, and 4) Cell Kinetics and Other Topics. In every session, there were stimulating and active discussions among the participants. We are convinced that the symposium was highly successful in transmitting scientific information across disciplines and in establishing fruitful contacts among the participants. We owe this success to the cooperation of all participants.