Author: Simon A. Levin Publisher: Springer ISBN: Category : Science Languages : en Pages : 652
Book Description
Volume 100, which is the final volume of the LNBM series serves to commemorate the acievements in two decades of this influential collection of books in mathematical biology. The contributions, by the leading mathematical biologists, survey the state of the art in the subject, and offer speculative, philosophical and critical analyses of the key issues confronting the field. The papers address fundamental issues in cell and molecular biology, organismal biology, evolutionary biology, population ecology, community and ecosystem ecology, and applied biology, plus the explicit and implicit mathematical challenges. Cross-cuttting issues involve the problem of variation among units in nonlinear systems, and the related problems of the interactions among phenomena across scales of space, time and organizational complexity.
Author: Simon A. Levin Publisher: Springer Science & Business Media ISBN: 3642501249 Category : Mathematics Languages : en Pages : 637
Book Description
From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.
Author: James D. Murray Publisher: Springer Science & Business Media ISBN: 0387224378 Category : Mathematics Languages : en Pages : 551
Book Description
Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.
Author: Robert J. Rosen Publisher: Academic Press ISBN: 1483272133 Category : Science Languages : en Pages : 316
Book Description
Foundations of Mathematical Biology, Volume 1, Subcellular Systems, provides an introduction the place of mathematical biology in relation to the other biological, physical, and organizational sciences. It discusses the use of mathematical tools and techniques to solve biological problems. The book contains four chapters and begins with a discussion of the nature of hierarchical control in living matter. This is followed by a chapter on chemical kinetics and enzyme kinetics, covering the physicomathematical principles, models, and approximations underlying transition-state theory and the unimolecular reaction. Subsequent chapters deal with quantum genetics and membrane excitability.
Author: James D. Murray Publisher: Springer Science & Business Media ISBN: 3662085399 Category : Mathematics Languages : en Pages : 782
Book Description
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.
Author: Benoît Perthame Publisher: Springer Science & Business Media ISBN: 3764378425 Category : Science Languages : en Pages : 206
Book Description
This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.
Author: Shandelle M. Henson Publisher: CRC Press ISBN: 100080609X Category : Mathematics Languages : en Pages : 339
Book Description
Features Minimal pre-requisites beyond a solid background in calculus, such as a calculus I course. Suitable for upper division mathematics and sciences students and graduate-level biology students. Provides sample MATLAB codes and instruction in Appendices.
Author: Denis Blackmore Publisher: World Scientific ISBN: 9812835296 Category : Mathematics Languages : en Pages : 275
Book Description
This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM''08), held at the New Jersey Institute of Technology (NJIT), May 19OCo21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world''s most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a OC must readOCO for active mathematical scientists."
Author: James D. Murray Publisher: Springer Science & Business Media ISBN: 0387224386 Category : Mathematics Languages : en Pages : 814
Book Description
This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS
Author: Simon A. Levin
Author: Simon A. Levin
Author: James D. Murray
Author: Robert J. Rosen
Author: James D. Murray
Author: Benoît Perthame
Author: James Dickson Murray
Author: Shandelle M. Henson
Author: Denis Blackmore
Author: James D. Murray