Abstract
Gene expression models and their analysis play a key role to understand gene regulation mechanisms. The lac operon mechanism has been largely studied to analyze its bistable behavior. In this paper a stochastic quasi steady-state lac operon model which is indeed a one dimensional birth-death process is considered. Nevertheless the well known closed-from solutions, due to the nonlinearity of parameters, the intermediate computed values become out of the representation range with the increase of the state space size. An aggregation-based two step algorithm is proposed to compute the steady-state distribution efficiently. The results of the stochastic model give the same parameter range for the bistable behavior as with the deterministic ODE model.
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Acknowledgments
This work was supported in part by the Turkish Scientific and Technological Research Council and the Centre National des Recherches Scientifiques in the framework of the Bosphorus PIA Program as a joint research project with grant number 111E082.
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Avcu, N., Pekergin, N., Pekergin, F., Güzeliş, C. (2016). Numerically Efficient Analysis of a One-Dimensional Stochastic Lac Operon Model. In: Abdelrahman, O., Gelenbe, E., Gorbil, G., Lent, R. (eds) Information Sciences and Systems 2015. Lecture Notes in Electrical Engineering, vol 363. Springer, Cham. https://doi.org/10.1007/978-3-319-22635-4_24
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DOI: https://doi.org/10.1007/978-3-319-22635-4_24
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