Equilibrium Configurations of Lipid Bilayer Membranes and Carbon Nanostructures

作     者：Ivalo M. Mladenov Peter A. Djondjorov Mariana Ts. Hadzhilazova Vassil M. Vassilev 

作者机构：Institute of Biophysics Bulgarian Academy of Sciences Acad. G. Bonchev Str. Block 21 1113 Sofia Bulgaria Institute of Mechanics Bulgarian Academy of Sciences Acad. G. Bonchev Str. Block 4 1113 Sofia Bulgaria 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2013年第59卷第2期

页      面：213-228页

核心收录：

学科分类：0710[理学-生物学] 071010[理学-生物化学与分子生物学] 07[理学] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Supported by the Bulgarian Ministry of Education  Youth and Science under the Project "Science and Business" BG051PO001/3.3-05-001 within "Human Resources Development" Operational Program of the European Social Fund 

主　　题：fluid membranes graphene carbon nanotubes carbon nanostructures junctions variational statement Euler-Lagrange equations natural boundary conditions cell injection adhesion equi- librium shapes 

摘      要：The present article concerns the continuum modelling of the mechanical behaviour and equilibrium shapes of two types of nano-scale objects： fluid lipid bilayer membranes and carbon nanostructures. A unified continuum model is used to handle four different ease studies. Two of them consist in representing in analytic form cylindrical and axisymmetric equilibrium configurations of single-wall carbon nanotubes and fluid lipid bilayer membranes subjected to uniform hydrostatic pressure. The third one is concerned with determination of possible shapes of junctions between a single-wall carbon nanotube and a fiat graphene sheet or another single-wall carbon nanotube. The last one deals with the mechanical behaviour of closed fluid lipid bilayer membranes （vesicles） adhering onto a fiat homogeneous rigid substrate subjected to micro-injection and uniform hydrostatic pressure.