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Acta Physica Sinica (Overseas Edition), 1997, Vol. 6(9): 641-655    DOI: 10.1088/1004-423X/6/9/001
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A COMPLETE CLASSIFICATION OF CLOSED SHAPES FOR CYLINDRICAL VESICLES

ZHANG SHAO-GUANG (张劭光)
Institute of Theoretical Physics,Academia Sinica,Beijing 100080,China
Abstract  We study the one-dimensional solution of the shape equation of bilayer membranes within the Helfrich spontaneous curvature model.The general integral of the cylindrical shape equation is obtained which gives a complete classification of the cylindrical surfaces corresponding to the shape equation.For closed vesicles,they are inward noduloids,outward noduloids,alternatively inward and outward noduloids and polygonal shapes.The curvature of the contours of the cross sections of these surfaces can be expressed in terms of elliptic functions of their arc lengths.
Received:  05 May 1997      Accepted manuscript online: 
PACS:  87.16.D- (Membranes, bilayers, and vesicles)  
  87.16.A- (Theory, modeling, and simulations)  
  87.15.La (Mechanical properties)  
  02.30.Rz (Integral equations)  
Fund: Project supported by the National Natural Science Foundation of China.

Cite this article: 

ZHANG SHAO-GUANG (张劭光) A COMPLETE CLASSIFICATION OF CLOSED SHAPES FOR CYLINDRICAL VESICLES 1997 Acta Physica Sinica (Overseas Edition) 6 641

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