Numerically Efficient Analysis of a One-Dimensional Stochastic Lac Operon Model
30th International Symposium on Computer and Information Sciences (ISCIS), London, Canada, 21 - 24 September 2015, vol.363, pp.261-271, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 363
- Doi Number: 10.1007/978-3-319-22635-4_24
- City: London
- Country: Canada
- Page Numbers: pp.261-271
- Dokuz Eylül University Affiliated: Yes
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.