Stochastic sensitivity analysis of oscillations in the model of enzymatic kinetics

We study the nonlinear allosteric reaction model of a product oscillatory synthesis suggested by Goldbeter. We consider the model under the influence of random disturbances in a zone where it possesses self-sustained oscillations. The stochastic sensitivity functions technique and the confidence domains method are used for the analysis of the stochastic oscillations generation. The critical value of the bifurcation parameter corresponding to the supersensitive limit cycle is found using these techniques.