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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.14078 |
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| _version_ | 1866915625459253248 |
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| author | Liang, Yihong Celiker, Emine Lin, Ping |
| author_facet | Liang, Yihong Celiker, Emine Lin, Ping |
| contents | This paper presents a phase-field model for simulating the three-dimensional deformation of vesicle membranes, incorporating area-difference elasticity, with constraints on bulk volume and surface area. We develop efficient numerical schemes based on the Fourier-spectral method for spatial discretization and temporal evolution. The model successfully captures a wide variety of steady-state vesicle shapes. The numerical experiments demonstrate that by tuning the simulation parameters, the vesicle can transition from a simple discocyte shape to a complex, multi-armed starfish-like and nested configuration. These results highlight the crucial role of area-difference elasticity in determining vesicle morphology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14078 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Phase-Field Model for Vesicle Membranes Incorporating Area-Difference Elasticity Liang, Yihong Celiker, Emine Lin, Ping Numerical Analysis This paper presents a phase-field model for simulating the three-dimensional deformation of vesicle membranes, incorporating area-difference elasticity, with constraints on bulk volume and surface area. We develop efficient numerical schemes based on the Fourier-spectral method for spatial discretization and temporal evolution. The model successfully captures a wide variety of steady-state vesicle shapes. The numerical experiments demonstrate that by tuning the simulation parameters, the vesicle can transition from a simple discocyte shape to a complex, multi-armed starfish-like and nested configuration. These results highlight the crucial role of area-difference elasticity in determining vesicle morphology. |
| title | A Phase-Field Model for Vesicle Membranes Incorporating Area-Difference Elasticity |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2511.14078 |