Mathematics Department, University of Utah, Salt Lake City, UT, USA.
J Theor Biol. 2010 Apr 21;263(4):455-70. doi: 10.1016/j.jtbi.2009.12.023. Epub 2010 Jan 4.
During mitosis chromosomes use a complex network of dynamic microtubules to find the cell equator in preparation for division signals. The roles of cellular chemical signals in mechanisms driving mitotic chromosomal movements are not well understood. In this paper we propose a mathematical model of this process which incorporates a molecular scale model of kinetochore-microtubule interactions into a negative feedback loop between spindle forces and local kinetochore biochemical reactions. This system allows kinetochore biochemical reactions to control and coordinate chromosome movement thus providing a direct connection between mechanical signals and mitosis chemical species. Our feedback control model can recreate chromosome movement from prometaphase to anaphase in good agreement with experimental data.
在有丝分裂过程中，染色体利用复杂的动态微管网络在准备分裂信号时找到细胞赤道。细胞化学信号在驱动有丝分裂染色体运动的机制中的作用还不是很清楚。在本文中，我们提出了一个将着丝粒-微管相互作用的分子尺度模型纳入纺锤体力和局部着丝粒生化反应之间负反馈回路的数学模型。该系统允许着丝粒生化反应来控制和协调染色体运动，从而在机械信号和有丝分裂化学物质之间提供直接联系。我们的反馈控制模型可以重现从前期到后期的染色体运动，与实验数据吻合良好。
