抗噪声鲁棒性的出现:基因调控网络进化模型中的结构相变
Emergence of robustness against noise: A structural phase transition in evolved models of gene regulatory networks
摘要:
我们研究布尔网络的进化受到选择性的压力,有利于对噪声的鲁棒性,作为一个模型的进化遗传调控系统。通过映射到一个统计合奏和最小化其相关的自由能的进化过程中,我们发现的结构特性出现的选择性压力的增加,并确定一个相变从一个随机的拓扑结构到一个“隔离的核心”的结构,其中一个更小,更密集连接的节点的子集是负责网络中的大部分监管。这种分离的结构在性质上与基因调控网络非常相似,在基因调控网络中,只有一个小得多的基因子集--那些负责转录因子的基因--负责全局调控。我们得到的选择压力和每个节点的平均输入数的函数的演化过程的完整的相图。我们比较的理论预测与蒙特卡罗模拟的进化网络和经验数据的酿酒酵母和大肠杆菌。
英文摘要:
We investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and minimizing its associated free energy, we find the structural properties which emerge as the selective pressure is increased and identify a phase transition from a random topology to a "segregated core" structure, where a smaller and more densely connected subset of the nodes is responsible for most of the regulation in the network. This segregated structure is very similar qualitatively to what is found in gene regulatory networks, where only a much smaller subset of genes --- those responsible for transcription factors --- is responsible for global regulation. We obtain the full phase diagram of the evolutionary process as a function of selective pressure and the average number of inputs per node. We compare the theoretical predictions with Monte Carlo simulations of evolved networks and with empirical data for Saccharomyces cerevisiae and Escherichia coli.
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