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Talk Abstract:
The Mathematical and Computational Challenges Posed by Complex
Biological Networks
Hans
Othmer
University of Minnesota
Mathematics/Computational Biology
othmer@math.umn.edu
During the last four decades, research on complex genetic, metabolic
and ecological networks focused primarily on a reductionist
approach, but it is now clear that this approach is inadequate;
complex systems cannot be fully understood by dissecting them
into their component pieces. In this talk we will describe some
well-characterized examples of how the dynamics of complex networks
in individuals are reflected in the collective behavior of populations,
and we will discuss the role of spatial and temporal hierarchies
in models of these systems. We will also describe some techniques
that may be used to understand highly interconnected networks,
and indicate what is lacking in our present toolkit.
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1999-2000
Reactive Flow and Transport Phenomena
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