Author : Simon A. Levin
Publisher : American Mathematical Soc.
Page : 196 pages
File Size : 28,13 MB
Release : 1976
Category : Mathematics
ISBN : 9780821811580
Covers problems in ecology, evolutionary biology, and neurobiology
Author :
Publisher :
Page : 140 pages
File Size : 24,33 MB
Release : 1982
Category : Biomathematics
ISBN :
Author : Simon A. Levin
Publisher :
Page : 462 pages
File Size : 19,84 MB
Release : 1977
Category : Biomathematics
ISBN :
Author : Alan Hastings
Publisher : American Mathematical Soc.
Page : 136 pages
File Size : 45,25 MB
Release : 1989-12-31
Category : Science
ISBN : 9780821897157
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.
Author : Hans G. Othmer
Publisher : American Mathematical Soc.
Page : 196 pages
File Size : 43,12 MB
Release : 1989-12-31
Category : Science
ISBN : 9780821897164
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.
Author : Simon A. Levin
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 18,30 MB
Release : 1979-12-31
Category : Mathematics
ISBN : 9780821897065
Deals with problems in epidemiology, allergic reactions, resource management, and presents a model of respiration
Author : Robert M. Miura
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 49,8 MB
Release : 1986-12-31
Category : Science
ISBN : 9780821897119
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.
Author : Louis J. Gross
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 11,53 MB
Release : 1986-12-31
Category :
ISBN : 9780821897126
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.
Author : Byron Goldstein
Publisher : American Mathematical Soc.
Page : 182 pages
File Size : 14,41 MB
Release : 1994-01-01
Category : Science
ISBN : 9780821897195
As the techniques of modern molecular biology continue to revolutionize experimental design in cell biology, mathematical modeling and analysis become increasingly necessary and feasible. The papers in this collection expand on invited lectures presented at the Symposium on Some Mathematical Questions in Biology: Cell Biology, held in November 1992 in Denver, Colorado. The work reviewed in the papers demonstrates the power of combining mathematics and experiment to study a number of cell processes, including: protein transport in nerve axons, formation of transport vesicles at the Golgi, molecular motion in cell membranes, cell adhesion, T lymphocyte activation, and cellular responses to receptor aggregation. The volume is an important contribution to the literature, as it introduces mathematicians to a growing application area and cell biologists to new tools and results. The individual articles can be used as readings in a course on mathematical modeling.
Author : Robert M. Miura
Publisher : American Mathematical Soc.
Page : 136 pages
File Size : 34,87 MB
Release : 1982-12-31
Category : Science
ISBN : 9780821897096
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.
