Fedosov Dmitry A, Caswell Bruce, Karniadakis George Em
Division of Applied Mathematics, Brown University, Providence, RI 02912 USA.
Division of Engineering, Brown University, Providence, RI 02912 USA.
Comput Methods Appl Mech Eng. 2010 Jun 1;199(29-32). doi: 10.1016/j.cma.2010.02.001.
We present a rigorous procedure to derive coarse-grained red blood cell (RBC) models, which yield accurate mechanical response. Based on a semi-analytic theory the linear and nonlinear elastic properties of healthy and infected RBCs in malaria can be matched with those obtained in optical tweezers stretching experiments. The present analysis predicts correctly the membrane Young's modulus in contrast to about 50% error in predictions by previous models. In addition, we develop a stress-free model which avoids a number of pitfalls of existing RBC models, such as non-smooth or poorly controlled equilibrium shape and dependence of the mechanical properties on the initial triangulation quality. Here we employ dissipative particle dynamics for the implementation but the proposed model is general and suitable for use in many existing continuum and particle-based numerical methods.
我们提出了一种严格的程序来推导粗粒度红细胞（RBC）模型，该模型能产生准确的力学响应。基于半解析理论，疟疾中健康和受感染红细胞的线性和非线性弹性特性可以与光镊拉伸实验中获得的特性相匹配。与先前模型约50%的预测误差相比，本分析正确地预测了膜杨氏模量。此外，我们开发了一种无应力模型，该模型避免了现有红细胞模型的许多缺陷，如非光滑或控制不佳的平衡形状以及力学性能对初始三角剖分质量的依赖性。在这里，我们采用耗散粒子动力学进行实现，但所提出的模型具有通用性，适用于许多现有的连续介质和基于粒子的数值方法。
