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Science 17 January 1997:
Vol. 275. no. 5298, pp. 334 - 343
DOI: 10.1126/science.275.5298.334
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Articles
Mathematical and Computational Challenges in
Population Biology and Ecosystems Science
Simon A. Levin,
*
Bryan Grenfell,
Alan Hastings,
Alan S. Perelson
Mathematical and computational approaches provide powerful tools in
the study of problems in population biology and ecosystems science. The
subject has a rich history intertwined with the development of
statistics and dynamical systems theory, but recent analytical advances, coupled with the enhanced potential of high-speed
computation, have opened up new vistas and presented new challenges.
Key challenges involve ways to deal with the collective dynamics of
heterogeneous ensembles of individuals, and to scale from small spatial
regions to large ones. The central issues--understanding how
detail at one scale makes its signature felt at other scales, and how
to relate phenomena across scales--cut across scientific
disciplines and go to the heart of algorithmic development of
approaches to high-speed computation. Examples are given from ecology,
genetics, epidemiology, and immunology.
S. A. Levin is in the Department of Ecology and Evolutionary
Biology, Princeton University, Princeton, NJ 08544, USA. B. Grenfell is
in the Zoology Department, Cambridge University, Downing Street,
Cambridge CB2 3EJ, UK. A. Hastings is in the Division of Environmental
Studies, Institute for Theoretical Dynamics, and Center for Population
Biology, University of California, Davis, CA 95616, USA. A. S. Perelson
is at Theoretical Biology and Biophysics, Los Alamos National
Laboratory, Los Alamos, NM 87545, USA.
*
To whom correspondence should be addressed.
Read the Full Text
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