dorsal/arxiv
View SchemaNumerical observation of non-axisymmetric vesicles in fluid membranes
| Authors | Yan Jie, Liu Quan-Hui, Liu Ji-Xing, Ou-Yang Zhong-Can |
|---|---|
| Categories | |
| ArXiv ID | physics/9802001 |
| URL | https://arxiv.org/abs/physics/9802001 |
| DOI | 10.1103/PhysRevE.58.4730 |
Abstract
By means of Surface Evolver (Exp. Math,1,141 1992), a software package of brute-force energy minimization over a triangulated surface developed by the geometry center of University of Minnesota, we have numerically searched the non-axisymmetric shapes under the Helfrich spontaneous curvature (SC) energy model. We show for the first time there are abundant mechanically stable non-axisymmetric vesicles in SC model, including regular ones with intrinsic geometric symmetry and complex irregular ones. We report in this paper several interesting shapes including a corniculate shape with six corns, a quadri-concave shape, a shape resembling sickle cells, and a shape resembling acanthocytes. As far as we know, these shapes have not been theoretically obtained by any curvature model before. In addition, the role of the spontaneous curvature in the formation of irregular crenated vesicles has been studied. The results shows a positive spontaneous curvature may be a necessary condition to keep an irregular crenated shape being mechanically stable.
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"abstract": "By means of Surface Evolver (Exp. Math,1,141 1992), a software package of\nbrute-force energy minimization over a triangulated surface developed by the\ngeometry center of University of Minnesota, we have numerically searched the\nnon-axisymmetric shapes under the Helfrich spontaneous curvature (SC) energy\nmodel. We show for the first time there are abundant mechanically stable\nnon-axisymmetric vesicles in SC model, including regular ones with intrinsic\ngeometric symmetry and complex irregular ones. We report in this paper several\ninteresting shapes including a corniculate shape with six corns, a\nquadri-concave shape, a shape resembling sickle cells, and a shape resembling\nacanthocytes. As far as we know, these shapes have not been theoretically\nobtained by any curvature model before. In addition, the role of the\nspontaneous curvature in the formation of irregular crenated vesicles has been\nstudied. The results shows a positive spontaneous curvature may be a necessary\ncondition to keep an irregular crenated shape being mechanically stable.",
"arxiv_id": "physics/9802001",
"authors": [
"Yan Jie",
"Liu Quan-Hui",
"Liu Ji-Xing",
"Ou-Yang Zhong-Can"
],
"categories": [
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.58.4730",
"title": "Numerical observation of non-axisymmetric vesicles in fluid membranes",
"url": "https://arxiv.org/abs/physics/9802001"
},
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