论文标题
在随机连接的周期网络模型中缓慢放松和老化
Slow relaxation and aging in the model of randomly connected cycles network
论文作者
论文摘要
我们提出了一个具有高连接性的大随机网络的统计模型，以描述暴露于急性应激后{\ ite。\，大肠杆菌}细胞的行为。该网络的构件是细胞遗传和代谢网络的典型反馈周期。周期上的每个节点都是一个自由度的自由度，代表了细胞网络中一个可以在两个状态之一中的组件 - 活动性或无活性。循环通过调节或代谢物的交换互连。应力是通过将节点驱动到非活动状态的外部磁场实现的，而磁化强度首次通过零值代表了应力周期后单元的第一个分裂事件。第一次通过问题的数值和分析解决方案再现了实验数据中观察到的老化动力学。
We propose a statistical model of a large random network with high connectivity in order to describe the behavior of {\it E.\,coli} cells after exposure to acute stress. The building blocks of this network are feedback cycles typical of the genetic and metabolic networks of a cell. Each node on the cycles is a spin degree of freedom representing a component in the cell's network that can be in one of two states - active or inactive. The cycles are interconnected by regulation or by the exchange of metabolites. Stress is realized by an external magnetic field that drives the nodes into an inactive state, and the time the magnetization passes zero value for the first time represents the first division event of the cell after the stress period. The numerical and analytical solutions for this first passage problem reproduce the aging dynamics observed in the experimental data.
