2016/01/05 by Li, Yao, Yi, Yingfei
#34F05 #37H10 #60H10 #92B05 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.1601.00715
This paper is Part II of a two-part series devoting to the study of systematic measures in a complex bio-network modeled by a system of ordinary differential equations. In this part, we quantify several systematic measures of a biological network including degeneracy, complexity and robustness. We will apply the theory of stochastic differential equations to define degeneracy and complexity for a bio-network. Robustness of the network will be defined according to the strength of attractions to the global attractor. Based on the study of stationary probability measures and entropy made in Part I of the series, we will investigate some fundamental properties of these systematic measures, in particular the connections between degeneracy, complexity and robustness.