Rhythmic and non-rhythmic attractors in asynchronous random Boolean networks

Bio Systems
Ezequiel A Di Paolo

Abstract

In multi-component, discrete systems, such as Boolean networks and cellular automata, the scheme of updating of the individual elements plays a crucial role in determining their dynamic properties and their suitability as models of complex phenomena. Many interesting properties of these systems rely heavily on the use of synchronous updating of the individual elements. Considerations of parsimony have motivated the claim that, if the natural systems being modelled lack any clear evidence of synchronously driven elements, then random asynchronous updating should be used by default. The introduction of a random element precludes the possibility of strictly cyclic behaviour. In principle, this poses the question of whether asynchronously driven Boolean networks, cellular automata, etc., are inherently bad choices at the time of modelling rhythmic phenomena. This paper focuses on this subsidiary issue for the case of Asynchronous Random Boolean Networks (ARBNs). It defines measures of pseudo-periodicity between states and sufficiently relaxed statistical constraints. These measures are used to guide a genetic algorithm to find appropriate examples. Success in this search for a number of cases, and the subsequent statistical analysi...Continue Reading

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Citations

Mar 12, 2004·Bio Systems·Philipp Rohlfshagen, Ezequiel A Di Paolo
Sep 4, 2012·Artificial Life·Larry Bull
Oct 9, 2007·Bio Systems·Zaiyi Guo, Joc Cing Tay
Jun 17, 2009·Birth Defects Research. Part C, Embryo Today : Reviews·Nicholas Geard, Kai Willadsen
Dec 18, 2013·IEEE/ACM Transactions on Computational Biology and Bioinformatics·Chao Luo, Xingyuan Wang
Sep 24, 2004·IEEE Transactions on Neural Networks·Christopher FarrowJim Rogers
Mar 16, 2007·Journal of Child Psychology and Psychiatry, and Allied Disciplines·Ruth Feldman
Jan 31, 2018·Molecular Systems Biology·Ayako Yachie-KinoshitaPeter W Zandstra
Aug 11, 2005·Physical Review Letters·Florian Greil, Barbara Drossel
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mihaela T Matache, Jack Heidel

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