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Mathematical Biology

  • James D. Murray

Part of the Biomathematics book series (BIOMATHEMATICS, volume 19)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. James D. Murray
    Pages 63-94
  3. James D. Murray
    Pages 109-139
  4. James D. Murray
    Pages 140-178
  5. James D. Murray
    Pages 179-199
  6. James D. Murray
    Pages 274-310
  7. James D. Murray
    Pages 481-524
  8. James D. Murray
    Pages 593-609
  9. James D. Murray
    Pages 651-696
  10. Back Matter
    Pages 697-770

About this book

Introduction

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.

Keywords

biomathematics kinetics mathematical biology mathematics population biology

Authors and affiliations

  • James D. Murray
    • 1
  1. 1.Applied Mathematics FS-20University of WashingtonSeattleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-08542-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57204-6
  • Online ISBN 978-3-662-08542-4
  • Series Print ISSN 0067-8821
  • Buy this book on publisher's site