Conditions for Equivalence of Stochastic and Deterministic Gene Transcription Models

Jaroslaw Smieja


Systems biology, Transcription modeling


The paper deals with two different approaches of modeling gene transcription in eukaryotic cells: stochastic and deterministic. The analysis is based on the assumption that dynamics of the transcription factor concentration is known from experimental work, first increasing and then decreasing, without oscillations. The expected value of transcription rate in a stochastic case is compared to deterministic transcription rate. Additionally, the dynamics of mRNA resulting from both models is analyzed. It appears that, despite claims in broad literature devoted to the topic, the deterministic description is a good approximation of an actual stochastic process.

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