A Hybrid Continuum-Particle Approach for Fluid-Structure Interaction Simulation of Red Blood Cells in Fluid Flows

A Hybrid Continuum-Particle Approach for Fluid-Structure Interaction Simulation of Red Blood Cells in Fluid Flows
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DOI:
10.3390/fluids6040139
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发表时间:
2021-04
期刊:
影响因子:
1.9
通讯作者:
Lahcen Akerkouch;T. Le
Lahcen Akerkouch;T. Le
中科院分区:
--
文献类型:
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作者:
Lahcen Akerkouch;T. Le

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细胞在液体流动中的运输在人体的许多生理过程中起着至关重要的作用。体外培养技术的最新发展使人们能够在实验室条件下了解细胞动力学。然而,仅用实验方法来获得精确的细胞动力学特性是具有挑战性的,尤其是在活体条件下。这一挑战促使计算方法的新发展,以提供实验技术无法提供的补充数据。由于这一问题在空间和时间尺度上存在很大的差异,需要模拟大量的单元,因此开发一种有效的单元与流体相互作用的数值方法是非常必要的。在这项工作中,提出了一种新的基于连续质点混合方法的流固耦合公式,它可以在提供血管内大尺度流动模式的同时,解决细胞的局部动力学问题。这里,细胞膜的耗散粒子动力学(DPD)模型与流体等离子体的浸没边界方法(IBM)结合使用。结果表明,在满足流体不可压缩性约束的同时,新的公式在计算流体流动中胞元的变形时是高效的。我们证明了将DPD与IBM耦合来模拟红细胞(RBC)的复杂动力学是可能的,例如跳伞。我们的主要观察是,所提出的耦合使得能够模拟真实小动脉中的红细胞动力学,同时确保流体等离子体的不可压缩性约束。因此,所提出的方法可以准确地估计模拟红细胞表面的流体剪应力。我们的结果表明,这种混合方法可以扩展到各种生理条件下的细胞。
Transport of cells in fluid flow plays a critical role in many physiological processes of the human body. Recent developments of in vitro techniques have enabled the understanding of cellular dynamics in laboratory conditions. However, it is challenging to obtain precise characteristics of cellular dynamics using experimental method alone, especially under in vivo conditions. This challenge motivates new developments of computational methods to provide complementary data that experimental techniques are not able to provide. Since there exists a large disparity in spatial and temporal scales in this problem, which requires a large number of cells to be simulated, it is highly desirable to develop an efficient numerical method for the interaction of cells and fluid flows. In this work, a new Fluid-Structure Interaction formulation is proposed based on the use of hybrid continuum-particle approach, which can resolve local dynamics of cells while providing large-scale flow patterns in the vascular vessel. Here, the Dissipative Particle Dynamics (DPD) model for the cellular membrane is used in conjunction with the Immersed Boundary Method (IBM) for the fluid plasma. Our results show that the new formulation is highly efficient in computing the deformation of cells within fluid flow while satisfying the incompressibility constraints of the fluid. We demonstrate that it is possible to couple the DPD with the IBM to simulate the complex dynamics of Red Blood Cells (RBC) such as parachuting. Our key observation is that the proposed coupling enables the simulation of RBC dynamics in realistic arterioles while ensuring the incompressibility constraint for fluid plasma. Therefore, the proposed method allows an accurate estimation of fluid shear stresses on the surface of simulated RBC. Our results suggest that this hybrid methodology can be extended for a variety of cells in physiological conditions.