| Noise in random Boolean networks. | |
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MedLine Citation:
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PMID: 19392019 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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We investigate the effect of noise on random Boolean networks. Noise is implemented as a probability p that a node does not obey its deterministic update rule. We define two order parameters, the long-time average of the Hamming distance between a network with and without noise, and the average frozenness, which is a measure of the extent to which a node prefers one of the two Boolean states. We evaluate both order parameters as function of the noise strength, and of the number of inputs per node K finding a smooth transition from deterministic (p=0) to fully stochastic (p=12) dynamics for networks with K < or = 2 , and a first-order transition at p=0 for K>2 . Most of the results obtained by computer simulation are also derived analytically. The average Hamming distance can be evaluated using the annealed approximation. In order to obtain the distribution of frozenness as function of the noise strength, more sophisticated self-consistent calculations had to be performed. This distribution is a collection of delta peaks for K=1 , and it has a fractal sructure for K>1 , approaching a continuous distribution in the limit K1 . |
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Authors:
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Tiago P Peixoto; Barbara Drossel |
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Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't Date: 2009-03-17 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 79 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2009 Mar |
Date Detail:
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Created Date: 2009-04-27 Completed Date: 2009-07-01 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 036108 Citation Subset: - |
Affiliation:
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Institut für Festkörperphysik, TU Darmstadt, Hochschulstrasse 6, 64289 Darmstadt, Germany. tiago@fkp.tu-darmstadt.de |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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