# Mathematical Biology Seminar

### Tomas Gedeon

Montana State university

#### Continuum model for bio-polymerization processes

#### Wednesday, November 14, 2012, at 3:05pm

LCB 225

Bio-polymerization processes like transcription and translation are central to a proper
function of a cell. The speed at which the bio-polymer grows is affected both by number
of pauses of elongation machinery, as well their numbers 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 a limit of 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 transcription rate of ribosomal genes.