A micropipette-aspiration data table for a giant vesicle at body temperature ( , )…

PHYSICS · Multi-part · Fermi University Physics · Biophysics & Medical Physics · Macromolecules, membranes and cell architecture · Macromolecules, membranes and cell architecture

Forces, Machines and Signals, Ch The fluid membrane: bending, flicker and shape

Problem

A micropipette-aspiration data table for a giant vesicle at body temperature (T=310 KT=310\,\mathrm{K}, kBT=4.28 pN nmk_BT = 4.28\,\mathrm{pN\,nm}) records the area strain α\alpha at two tensions, both in the entropic (low-tension) regime. Data: σ=2.0×10−6 N m−1\sigma=2.0\times10^{-6}\,\mathrm{N\,m^{-1}}, α=1.00%\alpha=1.00\%; σ=4.0×10−5 N m−1\sigma=4.0\times10^{-5}\,\mathrm{N\,m^{-1}}, α=1.60%\alpha=1.60\%. ((a)) Translate these data into the entropic-tension law α=(kBT/8πκ)ln⁡(σ/σ0)\alpha = (k_BT/8\pi\kappa)\ln(\sigma/\sigma_0) by finding the slope of α\alpha against ln⁡σ\ln\sigma. ((b)) Extract κ\kappa, in pN nm\mathrm{pN\,nm} and in kBTk_BT.

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