Deterministic Modeling of Stochastic Gene Transcription Processes

Jaroslaw Smieja


Systems biology, transcription modeling, oscillatory systems


Stochastic nature of gene transcription is widely known and its contribution to heterogeneity of cellular responses to various stimuli is well recognized. Therefore, many authors claim that mathematical models of this process should be stochastic and deterministic modeling is not acceptable. In this paper several biologically viable cases of transcription are investigated, comparing the expected value of transcription rate and the resulting amount of mRNA obtained from a stochastic model with corresponding outputs of its deterministic counterpart. The results indicate that deterministic models can be used only if transcription factors that initiate the transcription process weakly bind to their respective promoter regions in DNA.

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