Biological Pattern Formation — A Marriage of Theory and Experiment

  • J. D. Murray
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 121)

Abstract

The interdisciplinary challenges to discover the underlying mechanisms in the generation of biological pattern and form are central issues in development. Here I briefly discuss a philosophy of such an integrative biology approach. I then describe, by way of example, the successful use of a very simple model — even linear — for the growth of brain tumours in an anatomically accurate brain. All of the model parameters are estimated from experiment and patient data. Even with such a basic model the results highlight the inadequacies of current medical intervention treatment of brain tumours. I conclude with some brief general views on the use of models in biology.

Keywords

White Matter Brain Tumour Glioma Cell Pattern Formation Virtual Patient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • J. D. Murray
    • 1
  1. 1.Department of Applied MathematicsUniversity of WashingonSeattleUSA

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