Prothero J W, Rockafeller R T
Department of Biological Structure and the Department of Mathematics, University of Washington, Seattle, Washington, 98105, USA.
Biophys J. 1967 Nov;7(6):659-73. doi: 10.1016/S0006-3495(67)86615-3. Epub 2008 Dec 31.
A model is presented which describes, at least to a first approximation, the oserved changes in cell shape and the movement of surface markers associated with cleavage in some types of cells. The model postulates that the constraints governing cell cleavage are minimum surface area and constancy of cell volume. Equations are derived both for the case of symmetric as well as the case of asymmetric cleavage. It is pointed out that the generally symmetric character of cell cleavage is explicable if there is a positive correlation between internal cell pressure and the radii of curvature.
本文提出了一个模型,该模型至少在一阶近似下描述了某些类型细胞中观察到的细胞形状变化以及与分裂相关的表面标志物的运动。该模型假定控制细胞分裂的限制因素是最小表面积和细胞体积恒定。推导了对称分裂和不对称分裂情况下的方程。指出如果细胞内压力与曲率半径之间存在正相关,则细胞分裂通常具有的对称特征是可以解释的。