The effect of negative feedback loops on the dynamics of Boolean networks

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dc.contributor.authorSontag, Eduardoen
dc.contributor.authorVeliz-Cuba, Alanen
dc.contributor.authorLaubenbacher, Reinhard C.en
dc.contributor.authorJarrah, Abdul Salamen
dc.contributor.departmentMathematicsen
dc.contributor.departmentFralin Life Sciences Instituteen
dc.date.accessed2014-02-05en
dc.date.accessioned2014-02-26T19:10:05Zen
dc.date.available2014-02-26T19:10:05Zen
dc.date.issued2008-07en
dc.description.abstractFeedback loops play an important role in determining the dynamics of biological networks. To study the role of negative feedback loops, this article introduces the notion of distance-to-positive-feedback which, in essence, captures the number of independent negative feedback loops in the network, a property inherent in the network topology. Through a computational study using Boolean networks, it is shown that distance-to-positive-feedback has a strong influence on network dynamics and correlates very well with the number and length of limit cycles in the phase space of the network. To be precise, it is shown that, as the number of independent negative feedback loops increases, the number (length) of limit cycles tends to decrease (increase). These conclusions are consistent with the fact that certain natural biological networks exhibit generally regular behavior and have fewer negative feedback loops than randomized networks with the same number of nodes and same connectivity.en
dc.description.sponsorshipNSF DMS-0614371, DMS-0511441en
dc.identifier.citationSontag, Eduardo; Veliz-Cuba, Alan; Laubenbacher, Reinhard; Jarrah, Abdul Salaml. "The effect of negative feedback loops on the dynamics of Boolean networks," Biophysical Journal 95(2), 518-526 (2008); doi: 10.1529/biophysj.107.125021en
dc.identifier.doihttps://doi.org/10.1529/biophysj.107.125021en
dc.identifier.issn0006-3495en
dc.identifier.urihttp://hdl.handle.net/10919/25774en
dc.identifier.urlhttp://www.sciencedirect.com/science/article/pii/S0006349508702297en
dc.language.isoen_USen
dc.publisherCELL PRESSen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectdifferential-equationsen
dc.subjectregulatory networksen
dc.subjectbiological networksen
dc.subjectkauffman networksen
dc.subjectsystemsen
dc.subjectconvergenceen
dc.subjectbehavioren
dc.subjectcyclesen
dc.titleThe effect of negative feedback loops on the dynamics of Boolean networksen
dc.title.serialBiophysical Journalen
dc.typeArticle - Refereeden

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