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An isogeometric analysis formulation for red blood cell electro-deformation modeling

机译:用于红细胞电变形建模的等几何分析公式

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An isogeometric analysis formulation for simulating red blood cell (RBC) electro-deformation is presented. Electrically-induced cell deformation experiments are receiving increasing attention as an attractive strategy for single-cell mechanical phenotyping. As the RBC structure consists in a very thin biological membrane enclosing a nearly-incompressible fluid, (i) a surface shell kinematic model and (ii) the imposition of the shell enclosed-volume conservation constraint are proposed within the isogeometric analysis framework. With regard to the electro-deformation, an accurate evaluation of the electric-field induced forces is achieved by the Maxwell stress tensor approach. A staggered fixed-point iteration scheme is then proposed for performing the electro-mechanical coupling, in order to use reliable mechanical and electrical problem solvers sequentially. Supported by the comparison with experimental results and reference solutions, numerical simulations concerning the large deformation of a RBC by optical tweezers and an in silico electro-deformation experiment prove the accuracy and the effectiveness of the proposed formulation. (C) 2018 Elsevier B.V. All rights reserved.
机译:提出了一种用于模拟红细胞(RBC)电变形的等几何分析公式。电诱导的细胞变形实验作为单细胞机械表型的一种有吸引力的策略正受到越来越多的关注。由于RBC结构是由非常薄的生物膜包裹着几乎不可压缩的流体组成,(i)表面壳运动学模型和(ii)在等几何分析框架内提出了对壳封闭体积守恒约束的施加。关于电变形,通过麦克斯韦应力张量方法可以准确评估电场感应力。然后提出了一种交错的定点迭代方案来执行机电耦合,以便顺序使用可靠的机械和电气问题解决器。通过与实验结果和参考解决方案的比较的支持,通过光镊对红细胞的大变形进行的数值模拟和计算机电子变形实验证明了所提出配方的准确性和有效性。 (C)2018 Elsevier B.V.保留所有权利。

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