A closed spherical vesicle is made from a bilayer with bending modulus and Gaussian…

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

Soft Matter at the Thermal Scale, Ch Membranes, fluctuations and soft matter in biology

Problem

A closed spherical vesicle is made from a bilayer with bending modulus

\kappa_{\rm b} = 25k_BT

and Gaussian modulus

\bar\kappa_{\rm b} = 0

, at

T = 298\,\mathrm{K}

. ((a)) Calculate the total Helfrich bending energy of a vesicle of radius

200\,\mathrm{nm}

, in units of

k_BT

. ((b)) Calculate the total Helfrich bending energy of a vesicle of radius

2\,\mu\mathrm{m}

, in units of

k_BT

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