Albert Réka, Chiu Yu-Wen, Othmer Hans G
School of Mathematics, University of Minnesota, Minneapolis, Minnesota, USA.
Biophys J. 2004 May;86(5):2650-9. doi: 10.1016/S0006-3495(04)74321-0.
Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of movement, either by directed movement, a process called taxis, or by altering the speed or frequency of turning, which is called kinesis. Chemokinesis has been most thoroughly studied in the peritrichous bacterium Escherichia coli, which has four helical flagella distributed over the cell surface, and swims by rotating them. When rotated counterclockwise the flagella coalesce into a propulsive bundle, producing a relatively straight "run," and when rotated clockwise they fly apart, resulting in a "tumble" which reorients the cell with little translocation. A stochastic process generates the runs and tumbles, and in a chemoeffector gradient, runs that carry the cell in a favorable direction are extended. The cell senses spatial gradients as temporal changes in receptor occupancy and changes the probability of counterclockwise rotation (the bias) on a fast timescale, but adaptation returns the bias to baseline on a slow timescale, enabling the cell to detect and respond to further concentration changes. The overall structure of the signal transduction pathways is well characterized in E. coli, but important details are still not understood. Only recently has a source of gain in the signal transduction network been identified experimentally, and here we present a mathematical model based on dynamic assembly of receptor teams that can explain this observation.
进化为许多生物体提供了复杂的感官系统,使它们能够对环境中的信号做出反应。这种反应通常涉及运动模式的改变,要么是通过定向运动(一种称为趋性的过程),要么是通过改变转弯的速度或频率(称为动性)。趋化性在周身鞭毛的大肠杆菌中得到了最深入的研究,这种细菌有四条螺旋状鞭毛分布在细胞表面,并通过旋转鞭毛游动。当鞭毛逆时针旋转时,它们会合并成一个推进束,产生相对笔直的“游动”,而当顺时针旋转时,它们会散开,导致“翻滚”,使细胞重新定向但几乎没有移位。一个随机过程产生游动和翻滚,在化学效应物梯度中,将细胞带向有利方向的游动会延长。细胞将空间梯度感知为受体占有率的时间变化,并在快速时间尺度上改变逆时针旋转的概率(偏差),但适应会在缓慢时间尺度上将偏差恢复到基线,使细胞能够检测并对进一步的浓度变化做出反应。大肠杆菌中信号转导途径的整体结构已得到很好的表征,但重要细节仍不清楚。直到最近,实验才确定了信号转导网络中的一个增益来源,在此我们提出一个基于受体团队动态组装的数学模型,该模型可以解释这一观察结果。