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Theoretical and experimental studies have shown that the fluctuations of invivo systems break the fluctuation-dissipation theorem. One can thus ask whatinformation is contained in the correlation functions of protein concentrationsand how they relate to the response of the reactive network to a perturbation.Answers to these questions are of prime importance to extract meaningfulparameters from the in vivo fluorescence correlation spectroscopy data. In thispaper we study the fluctuations of the concentration of a reactive speciesinvolved in a cyclic network that is in a non-equilibrium steady stateperturbed by a noisy force, taking into account both the breaking of detailedbalance and extrinsic noises. Using a generic model for the network and theextrinsic noise, we derive a Chemical Langevin Equation that describes thedynamics of the system, we determine the expressions of the correlationfunctions of the concentrations, estimate the deviation of thefluctuation-dissipation theorem and the range of parameters in which aneffective temperature can be defined.

Fluctuations in reactive networks subject to extrinsic noise studied in the framework of the Chemical Langevin Equation