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Explore transcription in E. coli through numbers - gene size, mRNA characteristics, production rates, degradation rates, and the genetic switch mechanism. Learn about Poisson distribution, single-cell trajectories, bursting transcription, and the dynamics of genetic regulation.
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Transcription in E.coli by the numbers • Size of typical gene = 1kb • Typical number of mRNAs = 10 • Typical rate of mRNA production = 10 min-1 • Typical mRNA degradation rate = 1 min-1
mRNA production in E.coli Golding et al. ‘05 r=1/7min °=ln2/50min
Master equation for mRNA production Master equation for p(m,t): Poisson distribution with mean Steady state:
Variance of the mRNA number var(m) = 4 <m> Poisson: var(m) = <m> Poisson Inconsistent with unregulated transcription model
Single cell trajectories ¢n Transcription occurs in bursts!
Genetic switch Gardner, Cantor and Collins ‘00
Flipping the genetic switch Bistability!
Repressilator Elowitz and Leibler ‘00
The Poisson distribution What is the distribution of people per square? Histogram Poisson Probability people/unit area