Robustness in biological regulatory networks IV: Application to genetic networks controlling the cell cycle

阅读量：

作者：

展开

摘要：

Various indices of complexity are used in biological regulatory networks like the number n of their components and I of the interactions between these components, their connectance (or connectivity) equal to the ratio I/n, or the number of the strong connected components of their interaction graph. The stability of a biological network corresponds to its ability to recover from dynamical or parametric disturbance. Complexity is here quantified by the evolutionary entropy, which describes the way the asymptotic presence distribution or equilibrium distribution of the corresponding dynamical system is spread over the state space and the stability (or robustness) is characterized by the rate at which the system returns to its equilibrium distribution after a perturbation. This article applies these notions in the case of genetic networks having a getBren structure (i.e., being threshold Boolean random networks) and notably those controlling the cell cycle.

展开

关键词：

Symmetric product Exterior product Symmetric monoidal category Generating series Genus Hodge numbers Lambda ring Adams operation