A regulatory protein is present at a concentration of in an Escherichia coli cell of…

PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Biophysics & Medical Physics · Genetic circuits, regulation and biological information

Forces, Machines and Signals, Ch Numbers and noise in a small system

Problem

A regulatory protein is present at a concentration of 5 nM5\,\mathrm{nM} in an Escherichia coli cell of volume 1 fL1\,\mathrm{fL}. Treat its copy number in a single cell as a Poisson random variable with mean nˉ=cNAV\bar n = cN_AV. ((a)) Find nˉ\bar n. ((b)) Find the percentage of cells with zero copies, exactly one copy, and two or more copies.

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