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Book Chapter: On Distribution and Enumeration of Attractors in Probabilistic Boolean Networks

TitleOn Distribution and Enumeration of Attractors in Probabilistic Boolean Networks
Authors
Issue Date2008
PublisherWorld Publishing Corporation.
Citation
On Distribution and Enumeration of Attractors in Probabilistic Boolean Networks. In Zhang, X, Chen, L, Wu, L et al. (eds.), Optimization and Systems Biology-The Second International Symposium, OSB'08, Lijiang, China, October 31-November 3, 2008, Proceedings, p. 91-100. World Publishing Corporation, 2008 How to Cite?
AbstractIn this paper, we study attractors in Probabilistic Boolean Networks (PBNs). We study the expected number of singleton attractors in a PBN and show that it is 1.5 n if the number of Boolean functions assigned to each node is 2, where n is the number of nodes in a PBN. Then, we present algorithms for identifying singleton and small attractors and perform both theoretical and computational analyses on their average case time complexities. The results of computational experiments suggest that these algorithms are much more efficient than the naive algorithm that examines all possible 2 n states. We also show a simple and interesting relation between the distribution of attractors in a BN and the steady-state distribution in a corresponding variant of a PBN.
Persistent Identifierhttp://hdl.handle.net/10722/64487
ISBN

 

DC FieldValueLanguage
dc.contributor.authorHayashida, Men_HK
dc.contributor.authorTamura, Ten_HK
dc.contributor.authorChing, WKen_HK
dc.contributor.authorAkutsu, Ten_HK
dc.date.accessioned2010-07-13T04:51:53Z-
dc.date.available2010-07-13T04:51:53Z-
dc.date.issued2008en_HK
dc.identifier.citationOn Distribution and Enumeration of Attractors in Probabilistic Boolean Networks. In Zhang, X, Chen, L, Wu, L et al. (eds.), Optimization and Systems Biology-The Second International Symposium, OSB'08, Lijiang, China, October 31-November 3, 2008, Proceedings, p. 91-100. World Publishing Corporation, 2008en_HK
dc.identifier.isbn978-7-5062-9289-4/O639-
dc.identifier.urihttp://hdl.handle.net/10722/64487-
dc.description.abstractIn this paper, we study attractors in Probabilistic Boolean Networks (PBNs). We study the expected number of singleton attractors in a PBN and show that it is 1.5 n if the number of Boolean functions assigned to each node is 2, where n is the number of nodes in a PBN. Then, we present algorithms for identifying singleton and small attractors and perform both theoretical and computational analyses on their average case time complexities. The results of computational experiments suggest that these algorithms are much more efficient than the naive algorithm that examines all possible 2 n states. We also show a simple and interesting relation between the distribution of attractors in a BN and the steady-state distribution in a corresponding variant of a PBN.-
dc.languageengen_HK
dc.publisherWorld Publishing Corporation.en_HK
dc.relation.ispartofOptimization and Systems Biology-The Second International Symposium, OSB'08, Lijiang, China, October 31-November 3, 2008, Proceedings-
dc.titleOn Distribution and Enumeration of Attractors in Probabilistic Boolean Networksen_HK
dc.typeBook_Chapteren_HK
dc.identifier.emailChing, WK: wching@HKUCC.hku.hken_HK
dc.identifier.authorityChing, WK=rp00679en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.hkuros153461en_HK

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