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- W2222131448 abstract "This paper is Part I of a two-part series devoting to the study of systematic measures in a complex biological network modeled by a system of ordinary differential equations. As the mathematical complement to our previous work [31] with collaborators, the series aims at establishing a mathematical foundation for characterizing three important systematic measures: degeneracy, complexity and robustness, in such a biological network and studying connections among them. To do so, we consider in Part I stationary measures of a Fokker-Planck equation generated from small white noise perturbations of a dissipative system of ordinary differential equations. Some estimations of concentration of stationary measures of the Fokker-Planck equation in the vicinity of the global attractor are presented. Relationship between differential entropy of stationary measures and dimension of the global attractor is also given." @default.
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- W2222131448 date "2016-01-04" @default.
- W2222131448 modified "2023-10-14" @default.
- W2222131448 title "Systematic Measures of Biological Networks, Part I: Invariant measures and Entropy" @default.
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- W2222131448 doi "https://doi.org/10.48550/arxiv.1601.00714" @default.
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