Browsing by Author "Pekergin, Ferhan"

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    Numerically Efficient Analysis of a One-Dimensional Stochastic Lac Operon Model
    (Springer International Publishing Ag, 2016) Avcu, Neslihan; Pekergin, Nihal; Pekergin, Ferhan; Guzelis, Cuneyt
    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.