The shape equation of cylindrical surfaces for lipid bilayer membranes expressed by the Gaussian maps of their cross sections is given. General cylindrical surface solution has been obtained for the case of {Δ}p=0. This is the first case found that can be solved for the general shape equation. With this solution we show two kinds of periodic surface solutions to the general shape equation for fluid bilayer membranes. {} 1996 The American Physical Society.
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Zhang et al. (1996) studied this question.
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