a Department of Physics, Beijing Normal University, Beijing 100875, China; b Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China
Abstract Through the complete analysis of the solution for one dimensional bilayer membranes, it has been shown that under the Helfrich spontaneous curvature model, periodic shapes only exist in the case of $\overline{Δp}$ = 0. The undulation modes under force balance which correspond to positive, negative and zero tensile stresses have been given.
Received: 28 July 1998
Accepted manuscript online:
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