Jain Sanjay, Krishna Sandeep
Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2 Pt 2):026103. doi: 10.1103/PhysRevE.65.026103. Epub 2002 Jan 9.
A model of an evolving network of interacting molecular species is shown to exhibit repeated rounds of crashes in which several species get rapidly depopulated, followed by recoveries. The network inevitably self- organizes into an autocatalytic structure, which consists of an irreducible "core" surrounded by a parasitic "periphery." Crashes typically occur when the existing autocatalytic set becomes fragile and suffers a "core shift," defined graph theoretically. The nature of the recovery after a crash, in particular, the time of recovery, depends upon the organizational structure that survives the crash. The largest eigenvalue of the adjacency matrix of the graph is an important signal of network fragility or robustness.
一个由相互作用的分子物种构成的不断演化的网络模型显示，它会经历多轮崩溃，在此过程中，几种物种迅速减少，随后又恢复。该网络不可避免地会自组织成一种自催化结构，这种结构由一个不可简化的“核心”和围绕其的寄生性“外围”组成。崩溃通常发生在现有的自催化集变得脆弱并经历理论上从图论角度定义的“核心转移”时。崩溃后的恢复性质，尤其是恢复时间，取决于在崩溃中幸存下来的组织结构。该图邻接矩阵的最大特征值是网络脆弱性或稳健性的一个重要信号。
