Theoretical Analysis of the Shapes of Biomembrane Vesicle Using Mathematica Software

Author

Wen-bin, Kang ; Peng-cheng, Zhang ; Hong, Luo

Author_Institution

Dept. of Math. & Phys., Hu Bei Univ. of Med., Shiyan, China

fYear

2012

fDate

11-13 Aug. 2012

Firstpage

427

Lastpage

430

Abstract

To investigate the vesicle shapes of the area difference elasticity (ADE) model, the shooting method and mathematica software were used to calculate the shapes of vesicles. Results not only several corresponding shapes of vesicles, such as oblate and prolate shapes were obtained but also some new shapes of vesicles were gained by limiting some parameters in the ADE model. Studies have shown that the shape equations of axisymmetrical in the ADE model can be simplified to the shapes of axisymmetrical in the spontaneous curvature model (SC).

Keywords

biology computing; biomechanics; biomembranes; cellular biophysics; elasticity; mathematics computing; symbol manipulation; ADE model; area difference elasticity model; axisymmetrical shape equations; biomembrane vesicle shapes; mathematica software; oblate shapes; prolate shapes; shooting method; Biological system modeling; Biomembranes; Boundary conditions; Equations; Mathematical model; Numerical models; Shape; Area difference elasticity model; Mathematica; Numerical method; Vesicle shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science & Service System (CSSS), 2012 International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4673-0721-5

Type

conf

DOI

10.1109/CSSS.2012.113

Filename

6394351