# Mathematical Biology Seminar - Harry Dudley

**Harry Dudley, Department of Applied Mathematics, University of Colorado Boulder**

*Using Oriented Matroids To Understand Metabolic Networks*

Genome scale models of cellular metabolism involve thousands of reactions, even for relatively simple model organisms such as *E. coli*. Given a stoichiometric matrix, S, one could parametrize a system of thousands of ODEs for the metabolite concentrations: x' = S*v(x;k). Instead, models typically avoid identifying parameters by assuming that metabolite concentrations are in steady state during growth: 0=S*v. The resulting equation for the rates is underdetermined. However, one can limit solutions by solving a linear program to maximize growth-related reactions: max c^T*v s.t. 0=S*v and v_{min,i} <= v_i <= v_{max,i}.

Tuesday, September 11, 2018 at 1:00pm to 2:00pm

Muenzinger Psychology, E064

1905 Colorado Avenue, Boulder, CO 80309

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