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States and probabilities. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A A A A. Gating mechanism?. States and weights. Gating mechanism!. Applied voltage (mV). Thermodynamic model of gene regulation.
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States and probabilities TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAA
Gating mechanism! Applied voltage (mV)
Thermodynamic model of gene regulation Gene expression/ p(RNAp bound to promoter)
Ligand gated channel Zhong et al. ‘98
Single molecule FISH A. Raj ‘09
Repression of transcription Monod ‘47 Schlax et al.‘97
Mechanism of repression by Lac repressor Open complex formation (single molecule) Transcription (bulk)
The Lac Operon Our goal: Mathematize the story told by all of these cartoons!
DNA looping and gene regulation DNA Lac repressor (Goodsell) (Muller-Hill et al.)
Operator quality Vilar and Leibler ‘03
Why is Looping Useful? Vilar and Leibler ’03 • For in vivo concentrations (R≈10) repression is better than the strongest single site by a factor of ten. • For high number of repressors the state wins, giving the same repression as a single site. • The plateau between the two regimes is robust with respect to fluctuations in R.
Combinatorial control of a promoter Bintu et al. ’05