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International Conference on Mathematical Biology and

Annual Meeting of The Society for Mathematical Biology,

July 27-30, 2009

University of British Columbia, Vancouver

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Program

MSE2d
Brian Ingalls
Department of Applied Mathematics, University of Waterloo
Title Overactuated systems and Metabolic Control Analysis
Abstract In this work the main results of Metabolic Control Analysis (MCA) are reinterpreted from the point of view of engineering control theory. The standard model of metabolic systems is identified as redundant in both state dynamics and input effects. The key feature of these systems is that while the dynamics are typically nonlinear, these redundancies appear linearly -- through the stoichiometry matrix. This means that the effect of the input can be linearly decomposed into a component driving the state and a component driving the output. A statement of this separation principle is shown to be equivalent to the main Theorems of MCA.
LocationFriedman 153