Interdepartmental Program in Computational Biology and Bioinformatics, Yale University, New Haven, CT 06520, USA.
Proc Natl Acad Sci U S A. 2012 Jan 17;109(3):805-10. doi: 10.1073/pnas.1113706109. Epub 2011 Dec 27.
Individual neuronal, signal transduction, and regulatory pathways often control multiple stochastic downstream actuators, which raises the question of how coordinated response to a single input can be achieved when individual actuators fluctuate independently. In Escherichia coli, the bacterial chemotaxis pathway controls the activity of multiple flagellar motors to generate the run-and-tumble motion of the cell. High-resolution microscopy experiments have identified the key conformational changes adopted by individual flagella during this process. By incorporating these observations into a stochastic model of the flagellar bundle, we demonstrate that the presence of multiple motors imposes a trade-off on chemotactic performance. Multiple motors reduce the latency of the response below the time scale of the stochastic switching of a single motor, which improves performance on steep gradients of attractants. However, the uncoordinated switching of multiple motors interrupts and shortens cell runs, which thereby reduces signal detection and performance on shallow gradients. Remarkably, when slow fluctuations generated by the adaptation mechanism of the chemotaxis system are incorporated in the model at levels measured in experiments, the chemotactic sensitivity and performance in shallow gradients is partially restored with marginal effects for steep gradients. The noise is beneficial because it simultaneously generates long events in the statistics of individual motors and coordinates the motors to generate a long tail in the run length distribution of the cell. Occasional long runs are known to enhance exploration of random walkers. Here we show that they have the additional benefit of enhancing the sensitivity of the bacterium to very shallow gradients.
单个神经元、信号转导和调节途径通常控制多个随机下游执行器,这就提出了一个问题,即在单个执行器独立波动的情况下,如何实现对单个输入的协调响应。在大肠杆菌中,细菌趋化途径控制着多个鞭毛马达的活性,以产生细胞的奔跑和翻滚运动。高分辨率显微镜实验已经确定了单个鞭毛在这个过程中采用的关键构象变化。通过将这些观察结果纳入鞭毛束的随机模型中,我们证明了多个马达的存在对趋化性能施加了一种权衡。多个马达将响应的潜伏期降低到单个马达随机切换的时间尺度以下,从而提高了在吸引剂陡峭梯度上的性能。然而,多个马达的不协调切换中断并缩短了细胞的奔跑,从而降低了信号检测和在浅梯度上的性能。值得注意的是,当趋化系统的适应机制产生的缓慢波动以实验中测量的水平纳入模型时,趋化敏感性和在浅梯度上的性能部分恢复,而对陡峭梯度的影响则微不足道。噪声是有益的,因为它同时在单个马达的统计中产生长事件,并协调马达以在细胞奔跑长度分布中产生长尾巴。人们知道,偶尔的长奔跑可以增强随机游动者的探索能力。在这里,我们表明它们还有另外一个好处,即可以提高细菌对非常浅梯度的敏感性。