In this talk, we explore several mathematical models of the role of transcription in various physiological processes. First, we discuss a chemical kinetic model of the elongation dynamics of transcription. The proposed mathematical model governs the discrete movement of the RNA polymerase along a DNA strand. Next we explore the role of transcription in circadian clocks. Using a detailed model of mammalian circadian clocks, we show the importance of molecular noise in the absence of a core transcriptional activator during time-keeping. Surprisingly, when noisy cells are coupled together in network, collective rhythms begin to emerge. We hypothesize that transcription noise acts to kickstart rhythms in the entire suprachiasmatic nucleus (SCN) network. Time permitting, we end with a discussion of the mathematics of noise and oscillators.
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