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Systematic Measures of Biological Networks II: Degeneracy, Complexity, and Robustness
Author(s) -
Li Yao,
Yi Yingfei
Publication year - 2016
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21651
Subject(s) - robustness (evolution) , degeneracy (biology) , mathematics , attractor , ordinary differential equation , statistical physics , entropy (arrow of time) , theoretical computer science , computer science , differential equation , mathematical analysis , physics , quantum mechanics , gene , biology , bioinformatics , biochemistry , chemistry
This paper is part II of a two‐part series devoted to the study of systematic measures in a complex bionetwork 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 bionetwork. 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 this series, we will investigate some fundamental properties of these systematic measures, in particular the connections between degeneracy, complexity, and robustness.© 2016 Wiley Periodicals, Inc.