Equilibrium Configurations of Lipid Bilayer Membranes and Carbon Nanostructures  

作　　者：Ivalo M. Mladenov Peter A. Djondjorov Mariana Ts. Hadzhilazova Vassil M. Vassilev 

机构地区：[1]Institute of Biophysics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 21, 1113 Sofia, Bulgaria [2]Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 4, 1113 Sofia, Bulgaria

出　　处：《Communications in Theoretical Physics》2013年第2期213-228,共16页理论物理通讯（英文版）

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

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.

关 键 词：fluid membranes graphene carbon nanotubes carbon nanostructures JUNCTIONS variational statement Euler-Lagrange equations natural boundary conditions cell injection adhesion equi- librium shapes 

分 类 号：Q73[生物学—分子生物学]