MATH COLLOQUIUM, THURSDAY, NOVEMBER 10, , STARR 138
SPEAKER: Elizabeth Miller,
TITLE: A Continuous Model of Gene Expression
Gene expression is the process by which a gene makes its effect on a cell or organism. Linear differential equations have been explored as a model for gene expression. We discuss the shortcomings of this model, and we propose a system of nonlinear differential equations to mathematically model gene expression in prokaryotes, specifically bacteria. We investigate this biological system using explicit functions that describe the processes of protein synthesis which includes transcription, translation, degradation, and feedback in hope of shedding light on their associated rates. We analyze the transient and steady state solutions of the model and give a biological interpretation of these results.
REFRESHMENTS: 11:00 am, STARR 138