Potential landscape and probabilistic flux of a predator prey network.
Potential landscape and probabilistic flux of a predator prey network.
复制标题
捕食者猎物网络的潜在景观和概率通量
DOI：
10.1371/journal.pone.0017888
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发表时间：
2011-03-15
期刊：
影响因子：
3.7
通讯作者：
Wang J
中科院分区：
文献类型：
--
作者：
Li C;Wang E;Wang J
捕食-食饵系统作为生态动力学的重要组成部分，近年来在合成生物学的实验研究中得到了广泛的应用。我们开发了一个全球概率景观和通量框架来探索由两个大肠杆菌种群构建的合成捕食者-猎物网络。建立了求解多维问题的自洽平均场方法，揭示了具有墨西哥帽环谷形状的捕食者-猎物振荡的潜在景观。景观将系统吸引到封闭的振荡环上。概率通量驱动环上的相干振荡。景观和通量对于稳定和相干振荡都是必不可少的。从墨西哥帽顶到封闭环谷的屏障高度为特征的景观地形提供了系统全局稳定性的定量度量。对于较小的环境波动或扰动，能量耗散的熵产率较小。基于景观地形的全局敏感性分析对各参数对系统稳定性和功能的影响进行了具体预测。这可能为网络的全局稳定性、鲁棒性、功能和综合网络设计提供一些线索。
Predator-prey system, as an essential element of ecological dynamics, has been recently studied experimentally with synthetic biology. We developed a global probabilistic landscape and flux framework to explore a synthetic predator-prey network constructed with two Escherichia coli populations. We developed a self consistent mean field method to solve multidimensional problem and uncovered the potential landscape with Mexican hat ring valley shape for predator-prey oscillations. The landscape attracts the system down to the closed oscillation ring. The probability flux drives the coherent oscillations on the ring. Both the landscape and flux are essential for the stable and coherent oscillations. The landscape topography characterized by the barrier height from the top of Mexican hat to the closed ring valley provides a quantitative measure of global stability of system. The entropy production rate for the energy dissipation is less for smaller environmental fluctuations or perturbations. The global sensitivity analysis based on the landscape topography gives specific predictions for the effects of parameters on the stability and function of the system. This may provide some clues for the global stability, robustness, function and synthetic network design.