Show simple item record Roussel, Marc R. 2019-06-25T18:15:29Z 2019-06-25T18:15:29Z 2013
dc.identifier.citation Roussel, M. R. (2013). On the distribution of transcription times. Biomath, 2, 130724, 1-14. en_US
dc.description Open access article. Creative Commons Attribution 3.0 Unported License (CC BY 3.0) applies en_US
dc.description.abstract A previously studied model of prokaryotic transcription [Roussel and Zhu, Bull. Math. Biol. 68 (2006) 1681--1713] is revisited. The first four moments of the distribution of transcription times are obtained analytically and analyzed. A Gaussian is found to be a poor approximation to this distribution for short transcription units at typical values of the rate constants, but a good approximation for long transcription units. An approximate form of the distribution is obtained in which the slow steps are treated exactly and the fast steps are lumped together into a single lag term. This approximate form might be particularly useful as a function to be fit to experimental transcription time distributions. Multi-polymerase effects are also studied by simulation. We find that the analytic model generally predicts the behavior of the multi-polymerase simulations, often quantitatively, provided termination is not rate-limiting. en_US
dc.language.iso en_US en_US
dc.publisher Biomath Forum en_US
dc.subject Gene transcription en_US
dc.subject Stochastic model en_US
dc.title On the distribution of transcription times en_US
dc.type Article en_US
dc.publisher.faculty Arts and Science en_US
dc.publisher.department Department of Chemistry and Biochemistry en_US
dc.description.peer-review Yes en_US
dc.publisher.institution University of Lethbridge en_US

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