A protein is tagged for active degradation with a half-life 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 Genetic circuits and biological pattern

Problem

A protein is tagged for active degradation with a half-life of 15 min15\,\mathrm{min}, in cells that divide every 40 min40\,\mathrm{min}. Assume dilution by growth and degradation act as independent first-order loss processes, so their rates add. ((a)) Calculate the total loss rate γ\gamma. ((b)) Calculate the half-time for the protein level to reach its new steady state after the gene is switched on.

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