Fedosov Dmitry A, Caswell Bruce, Karniadakis George E
Division of Applied Mathematics, Brown University, Providence, RI 02912, USA.
Annu Int Conf IEEE Eng Med Biol Soc. 2009;2009:4266-9. doi: 10.1109/IEMBS.2009.5334585.
We present a coarse-grained red blood cell (RBC) model with accurate and realistic mechanical properties, rheology and dynamics. The modeled membrane is represented by a triangular mesh which incorporates shear inplane energy, bending energy, and area and volume conservation constraints. The macroscopic membrane elastic properties are imposed through semi-analytic theory, and are matched with those obtained in optical tweezers stretching experiments. Rheological measurements characterized by time-dependent complex modulus are extracted from the membrane thermal fluctuations, and compared with those obtained from the optical magnetic twisting cytometry results. The results allow us to define a meaningful characteristic time of the membrane. The dynamics of RBCs observed in shear flow suggests that a purely elastic model for the RBC membrane is not appropriate, and therefore a viscoelastic model is required. The set of proposed analyses and numerical tests can be used as a complete model testbed in order to calibrate the modeled viscoelastic membranes to accurately represent RBCs in health and disease.
我们提出了一种具有精确且逼真的力学性能、流变学和动力学的粗粒度红细胞(RBC)模型。所建模的膜由三角形网格表示,该网格纳入了面内剪切能、弯曲能以及面积和体积守恒约束。宏观膜弹性特性通过半解析理论施加,并与光镊拉伸实验中获得的特性相匹配。从膜热涨落中提取以时间相关复模量为特征的流变学测量值,并与从光磁扭转细胞术结果中获得的值进行比较。这些结果使我们能够定义膜的一个有意义的特征时间。在剪切流中观察到的红细胞动力学表明,红细胞膜的纯弹性模型不合适,因此需要一个粘弹性模型。所提出的一组分析和数值测试可以用作一个完整的模型测试平台,以便校准所建模的粘弹性膜,从而准确地表示健康和疾病状态下的红细胞。