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Mathematical model for biological cell deformation in a cylindrical pore

机译:圆柱孔中生物细胞变形的数学模型

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Some studies show that cells are able to penetrate through pores that are smaller than cell size. It concerns especially Red Blood Cells but it also may concern different types of biological cells. Such penetration of small pores is a very significant problem in the filtration process, for example in micro- or ultrafiltration. Deformability of cells allows them to go through the porous membrane and contaminate permeate. This paper shows how cells can penetrate small cylindrical holes and tries to assess mechanical stress in a cell during this process. A new mathematical approach to this phenomenon was presented, based on assumptions that were made during the microscopic observation of Red Blood Cell aspiration into a small capillary. The computational model concerns Red Blood Cell geometry. The mathematical model allows to obtain geometrical relation as well as mechanical stress relations.
机译:一些研究表明,细胞能够穿透小于细胞大小的孔。它尤其涉及红细胞,但也可能涉及不同类型的生物细胞。小孔的这种渗透在过滤过程中,例如在微滤或超滤中是非常重要的问题。细胞的可变形性使它们能够穿过多孔膜并污染渗透物。本文展示了细胞如何穿透小圆柱孔,并试图评估该过程中细胞的机械应力。提出了一种新的数学方法来解决这种现象,其依据是在显微镜下观察到将红细胞吸入小毛细血管的过程中做出的假设。计算模型涉及红细胞的几何形状。该数学模型允许获得几何关系以及机械应力关系。

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