Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, IN 46556, USA.
J R Soc Interface. 2011 Dec 7;8(65):1760-71. doi: 10.1098/rsif.2011.0180. Epub 2011 May 18.
In this paper, a new three-dimensional modelling approach is described for studying fluid-viscoelastic cell interaction, the subcellular element Langevin (SCEL) method, with cells modelled by subcellular elements (SCEs) and SCE cells coupled with fluid flow and substrate models by using the Langevin equation. It is demonstrated that: (i) the new method is computationally efficient, scaling as (N) for N SCEs; (ii) cell geometry, stiffness and adhesivity can be modelled by directly relating parameters to experimentally measured values; (iii) modelling the fluid-platelet interface as a surface leads to a very good correlation with experimentally observed platelet flow interactions. Using this method, the three-dimensional motion of a viscoelastic platelet in a shear blood flow was simulated and compared with experiments on tracking platelets in a blood chamber. It is shown that the complex platelet-flipping dynamics under linear shear flows can be accurately recovered with the SCEL model when compared with the experiments. All experimental details and electronic supplementary material are archived at http://biomath.math.nd.edu/scelsupplementaryinformation/.
本文描述了一种新的三维建模方法，用于研究流体粘弹性细胞相互作用，即亚细胞元素朗之万（SCEL）方法，该方法通过朗之万方程将亚细胞元件（SCE）和 SCE 细胞与流体流动和基质模型相耦合来建模细胞。结果表明：（i）新方法具有计算效率，其规模为 N SCE 的 N；（ii）可以通过直接将参数与实验测量值相关联来对细胞几何形状、刚度和粘附性进行建模；（iii）将流体-血小板界面建模为表面可与实验观察到的血小板流动相互作用非常吻合。使用该方法，模拟了粘弹性血小板在剪切血流中的三维运动，并与血液腔中跟踪血小板的实验进行了比较。结果表明，与实验相比，当与实验相比时，SCEL 模型可以准确地恢复线性剪切流下复杂的血小板翻转动力学。所有实验细节和电子补充材料都存档于 http://biomath.math.nd.edu/scelsupplementaryinformation/。
