Ogawa Naoko, Oku Hiromasa, Hashimoto Koichi, Ishikawa Masatoshi
Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8656, Japan.
J Theor Biol. 2006 Sep 21;242(2):314-28. doi: 10.1016/j.jtbi.2006.02.021. Epub 2006 Apr 18.
We propose a qualitative physical model of galvanotaxis of Paramecium cells using a bottom-up approach to link the microscopic ciliary motion and the macroscopic behavior of the cells. From the characteristic pattern of ciliary motion called the Ludloff phenomenon, the torque that orients the cell toward the cathode is derived mathematically. Dynamical equations of motion are derived and their stability is discussed. In numerical simulations using our model, cells exhibit realistic behavior, such as U-turns, like real cells.
我们采用自下而上的方法，提出了一种草履虫细胞电趋性的定性物理模型，以将微观纤毛运动与细胞的宏观行为联系起来。从被称为卢德洛夫现象的纤毛运动特征模式出发，通过数学推导得出使细胞朝向阴极定向的扭矩。推导了运动动力学方程并讨论了其稳定性。在使用我们模型的数值模拟中，细胞表现出如真实细胞那样的逼真行为，如掉头。
