比利时vs摩洛哥足彩
,
university of california san diego
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informal seminar on mathematics and biochemistry-biophysics
igor klep
ucsd
sign patterns and determinant expansions for chemical reaction networks
abstract:
a signed matrix is actually a class of matrices consisting of all matrices whose (i,j)-th entry has the same sign. there is a classical theory associating a graph to such a class and analyzing the sign of determinants of matrices in the class. we extend this to give more refined determinant results. it has been recently observed that substantial numbers of chemical reaction networks (these play a prominent role in systems biology) have dynamics dx/dt = f(x) with the jacobian of f(x) having a sign pattern or something similar. our results will be applied to this. \\ joint work with bill helton, raul gomez.
organizers: li-tien cheng and bo li
november 25, 2008
1:00 pm
ap&m 5829
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