中国物理B ›› 1997, Vol. 6 ›› Issue (9): 641-655.doi: 10.1088/1004-423X/6/9/001

• GENERAL •    下一篇

A COMPLETE CLASSIFICATION OF CLOSED SHAPES FOR CYLINDRICAL VESICLES

张劭光   

  1. Institute of Theoretical Physics,Academia Sinica,Beijing 100080,China
  • 收稿日期:1997-05-05 出版日期:1997-09-20 发布日期:1997-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

A COMPLETE CLASSIFICATION OF CLOSED SHAPES FOR CYLINDRICAL VESICLES

ZHANG SHAO-GUANG (张劭光)   

  1. Institute of Theoretical Physics,Academia Sinica,Beijing 100080,China
  • Received:1997-05-05 Online:1997-09-20 Published:1997-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： 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.

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.

中图分类号:  (Membranes, bilayers, and vesicles)

  • 87.16.D-
87.16.A- (Theory, modeling, and simulations) 87.15.La (Mechanical properties) 02.30.Rz (Integral equations)