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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.

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transcription in e coli by the numbers
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
mRNA production in E.coli

Golding et al. ‘05

r=1/7min

°=ln2/50min

master equation for mrna production
Master equation for mRNA production

Master equation for p(m,t):

Poisson distribution

with mean

Steady state:

variance of the mrna number
Variance of the mRNA number

var(m) = 4 <m>

Poisson: var(m) = <m>

Poisson

Inconsistent with unregulated transcription model

single cell trajectories
Single cell trajectories

¢n

Transcription occurs in bursts!

genetic switch
Genetic switch

Gardner, Cantor and Collins ‘00

repressilator
Repressilator

Elowitz and Leibler ‘00

slide11

The Poisson distribution

What is the distribution

of people per square?

Histogram

Poisson

Probability

people/unit area