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...

This vol ume contains the proceedings of the second U. S. -Austral ia workshop on Renewable Resource Management held at the East-West Center, Honolulu, Hawaii, December 9-12, 1985. The workshop was jointly sponsored by the National Science Foundation (USA) and the Department of Science and Technology (Austral ia) under the U. S. -Austral ia Cooperative Science Program. The objective of the workshop was to focus on problems associated with the management of renewable resource systems. A particular emphasis was given to methods for handling uncertain elements whieh are present in any real...

The search for ways to overcome tumour radioresistance is a major problem of experimental and clinical radiation oncology. The diffi- culties involved in the attempts to solve this problem are a matter of common knowledge. In many a laboratory extensive studies are un- derway of factors determining tumour tissue response to irradiation and of methods for exerting directional effect upon those factors. Such studies have revealed that, at least at the cellular level, a considerable number of factors manifest themselves which are respon- sible for radiation effect (1] * Among those are: spatial...

This book presents the proceedings of a workshop on community ecology organized at Davis, in April, 1986, sponsored by the Sloan Foundation. There have been several recent symposia on community ecology (Strong et. al., 1984, Diamond and Case, 1987) which have covered a wide range of topics. The goal of the workshop at Davis was more narrow: to explore the role of scale in developing a theoretical approach to understanding communities. There are a number of aspects of scale that enter into attempts to understand ecological communities. One of the most basic is organizational scale. Should...

This research monograph focuses on a biomolecular separation process that occurs within most cells. Two types of molecules, receptors and ligands, are separated and routed along different intracellular pathways; this is a critical step in the process of receptor-mediated endocytosis. The development of an understanding of the basic mechanisms of this separation process is presented, with an emphasis on discovering the fundamental and measurable parameters that influence the event. Mathematical models of sorting are evaluated to predict the range of possible outcomes. These are compared with a...

The present volume contains the papers which were accepted for presentation at the 3rd International Symposium for Systems Analysis and Simulation held in Berlin (GDR), September 12-: -16, 1988. It is already a tradition to meet a broad international community of experts in systems analysis, modelling and simulation at this symposium. This fact shows the requirements for a forum of presentation and discussion of new developments and applications of modelling and simulation in systems analysis. To realize the great interest in this field one has to take into consideration the developed role of...

These notes correspond to a set of lectures given at the Univer- sity of Alberta during the spring semester, 1973. The first four sec- tions present a systematic development of a deterministic, threshold model for the spraad of an infection. Section 5 presents some compu- tational results and attempts to tie the model with other mathematics. In each of the last three sections a separate, specialized topic is presented. The author wishes to thank Professor F. Hoppensteadt for making available preprints of two of his papers and for reading and comment- ing on a preliminary version of these...

These notes serve as an introduction to stochastic theories which are useful in population biology; they are based on a course given at the Courant Institute, New York, in the Spring of 1974. In order to make the material. accessible to a wide audience, it is assumed that the reader has only a slight acquaintance with probability theory and differential equations. The more sophisticated topics, such as the qualitative behavior of nonlinear models, are approached through a succession of simpler problems. Emphasis is placed upon intuitive interpretations, rather than upon formal proofs. In most...

This volume is the record and product of the Summer School on the Physics and Mathematics of the Nervous System, held at the International Centre for Theoretical Physics in Trieste from August 21-31, 1973, and jointly organized by the Institute for Information Sciences, University of Tlibingen and by the Centre. The school served to bring biologists, physicists and mathemati- cians together to exchange ideas about the nervous system and brain, and also to introduce young scientists to the field. The program, attended by more than a hundred scientists, was interdisciplinary both in character...

This book illustrates some of the ways physics and mathematics have been, and are being, used to elucidate the underlying mechan- isms of passive ion movement through biological membranes in general, and the membranes of excltable cells in particular. I have made no effort to be comprehensive in my introduction of biological material and the reader interested in a brief account of single cell electro- physlology from a physically-oriented biologists viewpoint will find the chapters by Woodbury (1965) an excellent introduction. Part I is introductory in nature, exploring the basic electrical...