Larripa Kamila, Mogilner Alex
Department of Mathematics, University of California, Davis, CA 95616, USA.
Physica A. 2006 Dec 1;372(1):113-123. doi: 10.1016/j.physa.2006.05.008.
Cell crawling is an important biological phenomenon because it underlies coordinated cell movement in morphogenesis, cancer and wound healing. This phenomenon is based on protrusion at the cell's leading edge, retraction at the rear, contraction and graded adhesion powered by the dynamics of actin and myosin protein networks. A few one-dimensional models successfully explain an anteroposterior organization of the motile cell, but don't sufficiently explore the viscoelastic nature of the actin-myosin gel. We develop and numerically solve a model of a treadmilling strip of viscoelastic actin-myosin gel. The results show that the strip translocates steadily as a traveling pulse, without changing length, and that protein densities, velocities and stresses become stationary. The simulations closely match the observed forces, movements and protein distributions in the living cell.
细胞爬行是一种重要的生物学现象,因为它是形态发生、癌症和伤口愈合过程中细胞协调运动的基础。这一现象基于细胞前沿的突出、后端的回缩、由肌动蛋白和肌球蛋白蛋白质网络动力学驱动的收缩和分级粘附。一些一维模型成功地解释了运动细胞的前后组织,但没有充分探索肌动蛋白-肌球蛋白凝胶的粘弹性本质。我们开发并数值求解了一个粘弹性肌动蛋白-肌球蛋白凝胶的踏车条带模型。结果表明,条带作为一个行进脉冲稳定地平移,长度不变,并且蛋白质密度、速度和应力变得稳定。模拟结果与活细胞中观察到的力、运动和蛋白质分布密切匹配。