A Traffic Flow Model for Bio-Polymerization Processes

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2015-11

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Bio-polymerization processes like transcription and translation are central to proper function of a cell. The speed at which the bio-polymer grows is affected both by the number of pauses of elongation machinery, as well the number of bio-polymers due to crowding effects. In order to quantify these effects in fast transcribing ribosome genes, we rigorously show that a classical traffic flow model is the limit of a mean occupancy ODE model. We compare the simulation of this model to a stochastic model and evaluate the combined effect of the polymerase density and the existence of pauses on the instantaneous transcription rate of ribosomal genes.

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Davis, Lisa, Tomáš Gedeon, Jakub Gedeon, and Jennifer Thorenson. “A Traffic Flow Model for Bio-Polymerization Processes.” Journal of Mathematical Biology 68, no. 3 (February 13, 2013): 667–700. doi:10.1007/s00285-013-0651-0.
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