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We study the problem of computing outer bounds for the region of steadystates of biochemical reaction networks modelled by ordinary differentialequations, with respect to parameters that are allowed to vary within apredefined region. Using a relaxed version of the corresponding feasibilityproblem and its Lagrangian dual, we show how to compute certificates forregions in state space not containing any steady states. Based on theseresults, we develop an algorithm to compute outer bounds for the region of allfeasible steady states. We apply our algorithm to the sensitivity analysis of aGoldbeter--Koshland enzymatic cycle, which is a frequent motif in reactionnetworks for regulation of metabolism and signal transduction.

Global Sensitivity Analysis of Biochemical Reaction Networks via Semidefinite Programming