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dc.contributor.authorChu-Shore, Jesseen_US
dc.contributor.authorWestover, M. Brandonen_US
dc.contributor.authorBianchi, Matt T.en_US
dc.coverage.spatialUnited Statesen_US
dc.date2010-11-09
dc.date.accessioned2021-04-07T15:54:26Z
dc.date.available2021-04-07T15:54:26Z
dc.date.issued2010-12-02
dc.identifierhttps://www.ncbi.nlm.nih.gov/pubmed/21151998
dc.identifier.citationJesse Chu-Shore, M Brandon Westover, Matt T Bianchi. 2010. "Power law versus exponential state transition dynamics: application to sleep-wake architecture.." PLoS One, Volume 5, Issue 12, pp. e14204 - ?. https://doi.org/10.1371/journal.pone.0014204
dc.identifier.issn1932-6203
dc.identifier.urihttps://hdl.handle.net/2144/42362
dc.description.abstractBACKGROUND: Despite the common experience that interrupted sleep has a negative impact on waking function, the features of human sleep-wake architecture that best distinguish sleep continuity versus fragmentation remain elusive. In this regard, there is growing interest in characterizing sleep architecture using models of the temporal dynamics of sleep-wake stage transitions. In humans and other mammals, the state transitions defining sleep and wake bout durations have been described with exponential and power law models, respectively. However, sleep-wake stage distributions are often complex, and distinguishing between exponential and power law processes is not always straightforward. Although mono-exponential distributions are distinct from power law distributions, multi-exponential distributions may in fact resemble power laws by appearing linear on a log-log plot. METHODOLOGY/PRINCIPAL FINDINGS: To characterize the parameters that may allow these distributions to mimic one another, we systematically fitted multi-exponential-generated distributions with a power law model, and power law-generated distributions with multi-exponential models. We used the Kolmogorov-Smirnov method to investigate goodness of fit for the "incorrect" model over a range of parameters. The "zone of mimicry" of parameters that increased the risk of mistakenly accepting power law fitting resembled empiric time constants obtained in human sleep and wake bout distributions. CONCLUSIONS/SIGNIFICANCE: Recognizing this uncertainty in model distinction impacts interpretation of transition dynamics (self-organizing versus probabilistic), and the generation of predictive models for clinical classification of normal and pathological sleep architecture.en_US
dc.format.extentp. e14204en_US
dc.languageeng
dc.language.isoen_US
dc.relation.ispartofPLoS One
dc.rightsCopyright: © 2010 Chu-Shore et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/.
dc.subjectComputer simulationen_US
dc.subjectHumansen_US
dc.subjectLeast-squares analysisen_US
dc.subjectMarkov Chainsen_US
dc.subjectModels, theoreticalen_US
dc.subjectProbabilityen_US
dc.subjectReproducibility of resultsen_US
dc.subjectSleepen_US
dc.subjectSleep stagesen_US
dc.subjectSleep, REMen_US
dc.subjectWakefulnessen_US
dc.subjectGeneral science & technologyen_US
dc.titlePower law versus exponential state transition dynamics: application to sleep-wake architectureen_US
dc.typeArticleen_US
dc.description.versionPublished versionen_US
dc.identifier.doi10.1371/journal.pone.0014204
pubs.elements-sourcepubmeden_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, Questrom School of Businessen_US
pubs.organisational-groupBoston University, Questrom School of Business, Information Systemsen_US
pubs.publication-statusPublished onlineen_US
dc.identifier.mycv253170


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Copyright: © 2010 Chu-Shore et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Except where otherwise noted, this item's license is described as Copyright: © 2010 Chu-Shore et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.