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Noise and Oscillations in Chemically Reacting Systems
"... Abstract — Sensitivity analysis is a powerful technique which allows the exploration of a biochemical system dynamics. It is widely used in quantifying properties of the system, such as robustness with respect to perturbations in parameters. This is a critical problem in studying biochemical systems ..."
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Abstract — Sensitivity analysis is a powerful technique which allows the exploration of a biochemical system dynamics. It is widely used in quantifying properties of the system, such as robustness with respect to perturbations in parameters. This is a critical problem in studying biochemical systems, and in particular cellular dynamics, as often some parameters for the kinetics of interaction are poorly known. In this paper, we investigate a parametric sensitivity analysis for mathematical models of well-stirred biochemical systems which exhibit an oscillatory behavior. This analysis will enable the identification of the key reaction rate parameters and it may give important biological insight into the mechanism that generates the oscillatory dynamics. Numerical results on two realistic models show the excellent performance of the proposed method.