Mathematics has always benefited from its involvement with developing sciences. Each successive interaction revitalises and enhances the field. Biomedical science is clearly the premier science of the foreseeable future. For the continuing health of their subject mathematicians must become involved with biology. With the example of how mathematics has benefited from and influenced physics, it is clear that if mathematicians do not become involved in the biosciences they will simply not be a part of what are likely to be the most important and exciting scientific discoveries of all time. Mathematical biology is a fast growing, well recognised, albeit not clearly defined, subject and is, to my mind, the most exciting modern application of mathematics. The increasing use of mathematics in biology is inevitable as biol ogy becomes more quantitative. The complexity of the biological sciences makes interdisciplinary involvement essential. For the mathematician, biology opens up new and exciting branches while for the biologist mathematical modelling offers another research tool commmensurate with a new powerful laboratory technique but only if used appropriately and its limitations recognised. However, the use of esoteric mathematics arrogantly applied to biological problems by mathemati cians who know little about the real biology, together with unsubstantiated claims as to how important such theories are, does little to promote the interdisciplinary involvement which is so essential. Mathematical biology research, to be useful and interesting, must be relevant biologically.
B.N. Nagorcka and J.R. Mooney. The role of a reaction-diffusion system in the formation of hair fibres. J. Theor. Biol., 98:575–607, 1982. B.N. Nagorcka and J.R. Mooney. The role of a reaction-diffusion system in the initiation of ...
Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field.
... A First Course in Discrete Mathematics I. Anderson Analytic Methods for Partial Differential Equations G. Evans, J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD, Second Edition D. Marsh Basic Linear Algebra, ...
This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology.
Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative.
Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field.
This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models.
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies.
AMS, Providence (2006) Christiansen, F.B.: Theories of Population Variation in Genes and Genomes. ... SIAM, Philadelphia (2006) Diekmann, O., Heesterbeek, J.A.P.: On the definition and the computation of the basic reproduction ratio R0 ...
The papers in this volume are based on talks given at a one day conference held on the campus of Adelphi University in April 1982.