A bead attached to a cell surface by a short DNA tether is filmed inside a living…

PHYSICS · Subjective · Fermi University Physics · Thermal, Statistical & Complex Systems · Biophysics & Medical Physics · Physical foundations of the living cell

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

Problem

A bead attached to a cell surface by a short DNA tether is filmed inside a living tissue at body temperature, 310 K310\,\mathrm{K}, and found to fluctuate with an rms amplitude of 12 nm12\,\mathrm{nm}. Assume the tether acts as a Hookean spring and equipartition holds. Find its stiffness κ\kappa.

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