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Stability similarities between shells, cells and nano carbon tubes.

The similarity in stability characteristics between multiscale circular cylindrical structures is revealed. Two detailed structures are explored. One is the circular cylindrical shell on an engineering scale, and another is the circular cylindrical lipid bilayer vesicle on a micro- or nanoscale. The critical stability of the vesicle acted on by uniformly distributed radial pressure is analysed. The critical load of the vesicle is derived and compared with that of the thin shell. The astonishing similarity between them is disclosed. The possible applications of such similarity to biophysics, biology and biomedicine are presented.