A phase-field model for vesicle membranes incorporating area-difference elasticity

Area of Science:

• Biophysics
• Computational Biology
• Materials Science

Background:

• Vesicle membranes exhibit complex morphologies crucial for biological processes.
• Understanding the physical principles governing vesicle shape is essential.

Purpose of the Study:

• To develop and validate a phase-field model for simulating 3D vesicle membrane deformation.
• To investigate the role of area-difference elasticity in dictating vesicle morphology.

Main Methods:

• Developed a phase-field model incorporating area-difference elasticity.
• Employed efficient numerical schemes using the Fourier-spectral method for spatial and temporal discretization.

Main Results:

• Successfully simulated a wide range of steady-state vesicle shapes.
• Demonstrated transitions from spherical and discocyte shapes to membrane fission, pear-shaped structures, and complex multi-armed configurations.
• Tuning simulation parameters revealed control over vesicle morphology.

Conclusions:

• Area-difference elasticity plays a critical role in determining vesicle morphology.
• The phase-field model provides a powerful tool for exploring vesicle dynamics and shape transitions.