%0 Journal Article %1 Squires2012Dynamical %A Squires, Shane %A Ott, Edward %A Girvan, Michelle %D 2012 %I American Physical Society %J Physical Review Letters %K boolean\_networks, percolation biological-networks %N 8 %P 085701+ %R 10.1103/physrevlett.109.085701 %T Dynamical Instability in Boolean Networks as a Percolation Problem %U http://dx.doi.org/10.1103/physrevlett.109.085701 %V 109 %X Boolean networks, widely used to model gene regulation, exhibit a phase transition between regimes in which small perturbations either die out or grow exponentially. We show and numerically verify that this phase transition in the dynamics can be mapped onto a static percolation problem which predicts the long-time average Hamming distance between perturbed and unperturbed orbits.

@article{Squires2012Dynamical, abstract = {{Boolean networks, widely used to model gene regulation, exhibit a phase transition between regimes in which small perturbations either die out or grow exponentially. We show and numerically verify that this phase transition in the dynamics can be mapped onto a static percolation problem which predicts the long-time average Hamming distance between perturbed and unperturbed orbits.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Squires, Shane and Ott, Edward and Girvan, Michelle}, biburl = {https://www.bibsonomy.org/bibtex/2fad1ad4fb38f29f9b92d0ffe4aeccc52/nonancourt}, citeulike-article-id = {11129043}, citeulike-linkout-0 = {http://arxiv.org/abs/1201.1595}, citeulike-linkout-1 = {http://arxiv.org/pdf/1201.1595}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevlett.109.085701}, citeulike-linkout-3 = {http://link.aps.org/abstract/PRL/v109/i8/e085701}, citeulike-linkout-4 = {http://link.aps.org/pdf/PRL/v109/i8/e085701}, day = 25, doi = {10.1103/physrevlett.109.085701}, eprint = {1201.1595}, interhash = {664c04f6bda904bfd7833d6339a6dd9a}, intrahash = {fad1ad4fb38f29f9b92d0ffe4aeccc52}, issn = {0031-9007}, journal = {Physical Review Letters}, keywords = {boolean\_networks, percolation biological-networks}, month = jul, number = 8, pages = {085701+}, posted-at = {2012-08-24 16:22:29}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-07-31T13:50:37.000+0200}, title = {{Dynamical Instability in Boolean Networks as a Percolation Problem}}, url = {http://dx.doi.org/10.1103/physrevlett.109.085701}, volume = 109, year = 2012 }