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首页> 外文期刊>Mathematical modelling of natural phenomena >A Fluid-Structure Interaction Model of the Cell Membrane Deformation: Formation of a Filopodium
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A Fluid-Structure Interaction Model of the Cell Membrane Deformation: Formation of a Filopodium

机译：细胞膜变形的流固耦合模型：丝状足的形成。

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摘要

In this paper we present a fluid-structure interaction model of neuron's membrane deformation. The membrane-actin is considered as an elastic solid layer, while the cytoplasm is considered as a viscous fluid one. The membrane-actin layer is governed by elasticity equations while the cytoplasm is described by the Navier-Stokes equations. At the interface between the cytoplasm and the membrane we consider a match between the solid velocity displacement and the fluid velocity as well as the mechanical equilibrium. The membrane, which faces the extracellular medium, is free to move. This will change the geometry in time. To take into account the deformation of the initial configuration, we use the Arbitrary Lagrangian Eulerian method in order to take into account the mesh displacement. The numerical simulations, show the emergence of a filopodium, a typical structure in cells undergoing deformation.
机译：在本文中，我们提出了神经元膜变形的流固耦合模型。膜肌动蛋白被认为是一种弹性固体层，而细胞质被认为是一种粘性流体。膜肌动蛋白层由弹性方程式控制，而细胞质由Navier-Stokes方程式描述。在细胞质和膜之间的界面处，我们考虑了固体速度位移和流体速度之间的匹配以及机械平衡。面对细胞外介质的膜可以自由移动。这将及时更改几何形状。为了考虑初始配置的变形，我们使用任意拉格朗日欧拉方法以考虑网格位移。数值模拟显示了fi的出现，fi是细胞变形的典型结构。

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