Wang Huijing, Ray J Christian J
Center for Computational Biology, University of Kansas, 2030 Becker Drive, Lawrence, KS 66047, United States of America.
Phys Biol. 2017 Jun 29;14(4):045007. doi: 10.1088/1478-3975/aa7870.
Single cells can stochastically switch across thresholds imposed by regulatory networks. Such thresholds can act as a tipping point, drastically changing global phenotypic states. In ecology and economics, imminent transitions across such tipping points can be predicted using dynamical early warning indicators. A typical example is 'flickering' of a fast variable, predicting a longer-lasting switch from a low to a high state or vice versa. Considering the different timescales between metabolite and protein fluctuations in bacteria, we hypothesized that metabolic early warning indicators predict imminent transitions across a network threshold caused by enzyme saturation. We used stochastic simulations to determine if flickering predicts phenotypic transitions, accounting for a variety of molecular physiological parameters, including enzyme affinity, burstiness of enzyme gene expression, homeostatic feedback, and rates of metabolic precursor influx. In most cases, we found that metabolic flickering rates are robustly peaked near the enzyme saturation threshold. The degree of fluctuation was amplified by product inhibition of the enzyme. We conclude that sensitivity to flickering in fast variables may be a possible natural or synthetic strategy to prepare physiological states for an imminent transition.
单细胞能够随机跨越调控网络设定的阈值。此类阈值可充当一个临界点,极大地改变整体表型状态。在生态学和经济学中,可利用动态早期预警指标预测跨越此类临界点的即将发生的转变。一个典型例子是快速变量的“闪烁”,它预测从低状态到高状态或反之的持续时间更长的转变。考虑到细菌中代谢物和蛋白质波动之间的不同时间尺度,我们推测代谢早期预警指标可预测由酶饱和导致的跨越网络阈值的即将发生的转变。我们使用随机模拟来确定闪烁是否能预测表型转变,同时考虑了各种分子生理参数,包括酶亲和力、酶基因表达的爆发性、稳态反馈以及代谢前体流入速率。在大多数情况下,我们发现代谢闪烁速率在酶饱和阈值附近强劲达到峰值。酶的产物抑制会放大波动程度。我们得出结论,对快速变量中闪烁的敏感性可能是一种为即将发生的转变准备生理状态的自然或合成策略。