Liu Yong-Ping, Li Chuan, Liu Kuo-Kang, Lai Alvin C K
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore.
J Biomech Eng. 2006 Dec;128(6):830-6. doi: 10.1115/1.2354204.
In this paper, the mechanical properties of erythrocytes were studied numerically based upon the mechanical model originally developed by Pamplona and Calladine (ASME J. Biomech. Eng., 115, p. 149, 1993) for liposomes. The case under study is the erythrocyte stretched by a pair of laser beams in opposite directions within buffer solutions. The study aims to elucidate the effect of radiation pressure from the optical laser because up to now little is known about its influence on the cell deformation. Following an earlier study by Guck et al. (Phys. Rev. Lett., 84, p. 5451, 2000; Biophys. J., 81, p. 767, 2001), the empirical results of the radiation pressure were introduced and imposed on the cell surface to simulate the real experimental situation. In addition, an algorithm is specially designed to implement the simulation. For better understanding of the radiation pressure on the cell deformation, a large number of simulations were conducted for different properties of cell membrane. Results are first discussed parametrically and then evaluated by comparing with the experimental data reported by Guck et al. An optimization approach through minimizing the errors between experimental and numerical data is used to determine the optimal values of membrane properties. The results showed that an average shear stiffness around 4.611x10-6 Nm(-1), when the nondimensional ratio of shear modulus to bending modulus ranges from 10 to 300. These values are in a good agreement with those reported in literature.
在本文中，基于潘普洛纳和卡拉丹（《美国机械工程师学会生物医学工程杂志》，第115卷，第149页，1993年）最初为脂质体开发的力学模型，对红细胞的力学性能进行了数值研究。所研究的情况是红细胞在缓冲溶液中被一对相反方向的激光束拉伸。该研究旨在阐明光学激光辐射压力的影响，因为到目前为止，人们对其对细胞变形的影响知之甚少。继古克等人早期的研究（《物理评论快报》，第84卷，第5451页，2000年；《生物物理杂志》，第81卷，第767页，2001年）之后，引入了辐射压力的实验结果并将其施加在细胞表面以模拟实际实验情况。此外，专门设计了一种算法来实现模拟。为了更好地理解辐射压力对细胞变形的影响，针对细胞膜的不同特性进行了大量模拟。首先对结果进行参数讨论，然后通过与古克等人报告的实验数据进行比较来评估。采用一种通过最小化实验数据和数值数据之间误差的优化方法来确定膜特性的最佳值。结果表明，当剪切模量与弯曲模量的无量纲比在10到300之间时，平均剪切刚度约为4.611×10⁻⁶ Nm⁻¹。这些值与文献报道的值非常吻合。
