Acta Scientiarum Naturalium Universitatis Pekinensis ›› 2019, Vol. 55 ›› Issue (4): 603-608.DOI: 10.13209/j.0479-8023.2019.038

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Adaptive Functional Network with Thermal Robustness

LIU Ming, WANG Hongli†   

  1. School of Physics, Peking University, Beijing 100871
  • Received:2018-08-17 Revised:2018-09-23 Online:2019-07-20 Published:2019-07-20
  • Contact: WANG Hongli, E-mail: hlwang(at)pku.edu.cn

具有热鲁棒性的适应性基因调控网络

刘明, 王宏利†   

  1. 北京大学物理学院, 北京 100871
  • 通讯作者: 王宏利, E-mail: hlwang(at)pku.edu.cn
  • 基金资助:
    国家重大科学研究计划(2015CB910300)资助

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Abstract:

Through the enumeration of the three-node gene regulatory network, the random sampling of the parameter space and the dynamics simulation, the adaptive gene transcriptional regulation networks with thermal robustness (namely temperature compensation) are found. The structural analysis of the thermally robust adaptive networks shows that there are three basic structures that can achieve adaptive dynamics with thermal robustness, and the complex adaptive networks with thermal robustness uses these three networks as the core skeletons. In order to investigate the sensitivity of the adaptability of the three-node adaptive network to the changes of various parameters in the network dynamics, the authors calculate the corresponding control coefficients of each parameter. The clustering analysis of the control coefficients shows that the mechanism of the three-node functional network to achieve thermal robustness is temperature isolation, that is, although all rate parameters in the network are temperature dependent, only the generation and degradation rates of the output nodes deviate significantly from zero and have opposite signs. Most thermal robustness is achieved by the antagonistic balance adjustment of the output nodes. 

Key words: adaptation, function and topology, gene regulation networks, temperature compensation

摘要：

通过对三节点基因调控网络的枚举、参数空间的随机采样以及动力学模拟, 找到具有热鲁棒性(即温度补偿)的适应性基因转录调控网络, 对其进行结构分析表明, 存在3种最基本的结构可以实现具有热鲁棒性的适应性动力学功能, 复杂的适应性网络都以此3种网络为核心骨架。为了考察三节点适应性网络的适应性对网络动力学中各参数改变的敏感度, 计算了各参数相应的控制系数。对控制系数的聚类分析表明, 三节点功能网络实现热鲁棒的机制为温度隔离, 即尽管网络中所有的速率参数都依赖于温度, 但仅输出节点的生成和降解速率明显偏离0且具有相反的符号, 大多数热鲁棒适应性都通过输出节点的拮抗平衡调节来实现。

关键词: 适应性, 功能与拓补, 转录网络, 温度补偿

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