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Recent advances in network theory enable us to study the interplay between the topological structure and the intrinsic dynamic states of all nodes. Here we track the spatio-temporal patterns of propagation of information along the network, such as the spreading of diseases, the response to a genetic perturbation or the onset of collective synchronization. [1-3].
We analytically derive the response propagation, obtaining its dependence on the degree distribution, the distance from the perturbation and the intrinsic dynamics of each network. Our results uncover a deep universality in the propagation patterns crossing domains of inquiry, from disease spreading to technological failures and gene regulatory dynamics.
References:
1. A. Arenas A., A. Díaz-Guilera , J. Kurths , Y. Moreno , C. Zhou, Physics Reports 469 (3), 93-153 (2008).
2. B. Barzel, and A.L. Barabsi, Nature Physics 9, 673–681 (2013).
3. B. Barzel, Y. Y. Liu and A.L. Barabsi , Nat.Comm. 6, 7186 (2014). |