Theoretical Analysis of the Shapes of Biomembrane Vesicle Using Mathematica Software

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).