A transcription factor is present at a concentration of in a bacterial cell of volume

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 transcription factor is present at a concentration of 2 nM2\,\mathrm{nM} in a bacterial cell of volume 2 fL2\,\mathrm{fL}. Treat the copy number of this molecule in a single cell as a Poisson random variable with mean nˉ=cNAV\bar n = cN_AV. ((a)) Find the mean copy number nˉ\bar n. ((b)) Find the percentage of cells that contain zero copies, exactly one copy, and two or more copies.

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