粘附
旋转对称性
有限元法
颂歌
小泡
相(物质)
弯曲
领域(数学)
材料科学
几何学
机械
数学
数学分析
物理
化学
复合材料
热力学
生物化学
量子力学
膜
纯数学
作者
Jian Zhang,S. Das,Qiang Du
标识
DOI:10.1016/j.jcp.2009.07.027
摘要
In this paper, a phase field model is developed for vesicle adhesion involving complex substrate and vesicle geometries. The model takes into account an adhesion potential that depends on the distance of vesicle to the substrate. A variational problem is solved in a 3D computational domain by minimizing the contribution of bending elastic energy and the adhesion energy under the constraints of total surface area and volume, described via a phase function. An adaptive finite element method is used to efficiently compute the numerical solutions of the model. The computational results are validated through comparison of several axisymmetric shapes with the sharp-interface ODE solution. Moreover, we compute shapes for non-axisymmetric situations to support the observation that concave substrates favor adhesion.
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