Question
What effect does temperature have on the dissociation rate of polymerase-promoter complexes? What does this suggest about the nature of the complex?
Step 1
Understand what is meant by "temperature," "dissociation rate," "polymerase-promoter complexes," and "nature of the complex." Temperature refers to the thermal energy of the environment, dissociation rate is the speed at which the polymerase-promoter complex Show more…
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Polymerase binding to the promoter revisited The probability of promoter occupancy can be computed using both statistical mechanics and thermodynamics (that is, using equilibrium constants). These two perspectives were already exploited for simple ligand-receptor binding in Sections 6.1 .1 and 6.4 .1 (a) Write an expression for the probability of finding RNA polymerase bound to the promoter as a function of the equilibrium constants for specific and nonspecific binding. (b) In vitro, the dissociation constant of RNA polymerase binding to nonspecific DNA is approximately $10 \mu \mathrm{M}$ and the dissociation constants of RNA polymerase to the lac $P 1$ and T7A1 promoters are $550 \mathrm{nM}$ and $3 \mathrm{nM}$, respectively. Use these constants and the results from (a) to estimate the in vivo binding energies of RNA polymerase to $\operatorname{lac} P 1$ and $\mathrm{T} 7 \mathrm{Al}$ promoters.
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