基于浸入边界法研究超弹性红细胞在剪切流中的运动特性
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国家自然科学基金项目(51309128),昆明理工大学校人才启动项目(14118633)


Motion characteristics of hyper-elastic red cells in shear flow based on immersed boundary method
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    摘要:

    目的 研究微血管中红细胞在剪切流中的运动特性,为阐明血管疾病的发病机制和开展血液循环实验研究提供理论参考。方法 建立具有膜厚度的超弹性红细胞模型,结合反馈力法和有限元浸入边界法,模拟红细胞在血液剪切流作用下的结构变形和运动方式。其中,固体采用超弹性材料,利用有限单元法进行求解;流体为不可压缩牛顿流体,利用有限差分法求解。结果 数值计算结果重现了细胞在剪切流中以“坦克履带式”向前滚动的运动方式。计算结果与文献结果吻合较好,验证了计算方法的可靠性。结论 所采用的浸入边界法对处理大变形问题的优势尤为明显,可以较好地展示红细胞在剪切流中的变形全过程。

    Abstract:

    Objective To numerically simulate the motion characteristics of red cells in shear flow, so as to provide theoretical references for exploring pathogenesis of cardiovascular diseases and conducting experimental studies of blood circulation. Methods The hyper-elastic model of red cells with membrane thickness was established. Based on feedback force method and finite element immersed boundary method, the deformation and motion of red cells in shear flow were simulated. The solid was defined as being hyper-elastic and solved by finite element method, while the fluid was defined as incompressible Newton fluid and solved by finite difference method. Results The tank tread-like motion characteristics of red cells in shear flow were gained by numerical simulation. The simulation results in the study were consistent with the results in the literature, which validated the reliability of the proposed method in the study. Conclusions The immersed boundary method adopted in the study shows obvious advantage in solving the large deformation problem by preferably demonstrating the whole process of red cell deformation in shear flow.

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郭涛,郝栋伟,李明华,武亮.基于浸入边界法研究超弹性红细胞在剪切流中的运动特性[J].医用生物力学,2015,30(3):243-248

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  • 收稿日期:2014-10-31
  • 最后修改日期:2015-01-20
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  • 在线发布日期: 2015-06-24
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