Avcu, NeslihanPekergin, NihalPekergin, FerhanGuzelis, Cuneyt2023-06-162023-06-162016978-3-319-22635-41876-11001876-1119https://doi.org/10.1007/978-3-319-22635-4_24https://hdl.handle.net/20.500.14365/81730th International Symposium on Computer and Information Sciences (ISCIS) -- SEP 21-24, 2015 -- Imperial Coll, London, ENGLANDGene 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.eninfo:eu-repo/semantics/closedAccessConference Object10.1007/978-3-319-22635-4_242-s2.0-84945906186