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Circadian Modulation of Sleep-Wake Dynamics Evaluated by Transition Probabilities

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Natural and Artificial Computation for Biomedicine and Neuroscience (IWINAC 2017)

Abstract

Behavioral states in rodents and other mammalian species alternate between wakefulness (WK), rapid eye movement (REM) and non-REM (NREM) sleep at time scale of hours (i.e., circadian and ultradian periodicties) and from several tens of minutes to seconds (i.e., brief awakenings during sleep). Quantified and statistical analysis of bout durations and transition probability analysis of sleep-wake dynamics constitute a powerful method for evaluating endogenous sleep control mechanisms and sleep disturbances. Here we studied the circadian influence over sleep-wake activity in mouse model by analyzing as a function of lightdark (LD) cycle, the Kaplan-Meier (KM) survival curves and the transition probability (TP) of Markov chains. Survival curves of WK showed a bimodal statistical distribution. Circadian rhythm modulated specifically WK bouts increasing its duration during activedark period. In contrast, NREM and REM KM curves did not change significantly along LD cycle. Circadian modulation of TP was found only for state-maintenance-probability in WK and for transitions which increased and decreased respectively during activedark period. In conclusion, Markov modelling of sleep stages adequately evaluate the circadian and ultradian modulation of sleep-wake dynamics during dark and light phases.

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References

  1. Jones, B.E.: The neural basis of consciousness across the sleep-waking cycle (1998)

    Google Scholar 

  2. Ferri, R., Pizza, F., Vandi, S., Iloti, M., Plazzi, G.: Decreased sleep stage transition pattern complexity in narcolepsy type 1. Clin. Neurophysiol. 127, 2812–2819 (2016)

    Article  Google Scholar 

  3. Lo, C.C., Chou, T., Penzel, T., Scammell, T.E., Strecker, R.E., Stanley, H.E., Ivanov, P.C.: Common scale-invariant patterns of sleep-wake transitions across mammalian species. Proc. Natl. Acad. Sci. U.S.A. 101, 17545–17548 (2004)

    Article  Google Scholar 

  4. Borbély, A.A.: A two process model of sleep regulation. Hum. Neurobiol. (1982)

    Google Scholar 

  5. Phillips, A., Robinson, P.: A quantitative model of sleep-wake dynamics based on the physiology of the brainstem ascending arousal system. J. Biol. Rhythms 22, 167–179 (2007)

    Article  Google Scholar 

  6. Aston-Jones, G., Chen, S., Zhu, Y., Oshinsky, M.L.: A neural circuit for circadian regulation of arousal. Nat. Neurosci. 4, 732–738 (2001)

    Article  Google Scholar 

  7. Spedicato, G.: Markovchain: an R package to easily handle discrete Markov chains. R package version 0.2 2 (2015)

    Google Scholar 

  8. Mochizuki, T., Crocker, A., McCormack, S., Yanagisawa, M., Sakurai, T., Scammell, T.E.: Behavioral state instability in orexin knock-out mice. J. Neurosci. 24, 6291–6300 (2004)

    Article  Google Scholar 

  9. Kemp, B., Kamphuisen, H.: Simulation of human hypnograms using a Markov chain model. Sleep 9, 405–414 (1986)

    Article  Google Scholar 

  10. Kim, J., Lee, J.S., Robinson, P., Jeong, D.U.: Markov analysis of sleep dynamics. Phys. Rev. Lett. 102, 178104 (2009)

    Article  Google Scholar 

  11. Stephenson, R., Famina, S., Caron, A.M., Lim, J.: Statistical properties of sleep-wake behavior in the rat and their relation to circadian and ultradian phases. Sleep 36, 1377 (2013)

    Article  Google Scholar 

  12. Klerman, E.B., Wang, W., Duffy, J.F., Dijk, D.J., Czeisler, C.A., Kronauer, R.E.: Survival analysis indicates that age-related decline in sleep continuity occurs exclusively during NREM sleep. Neurobiol. Aging 34, 309–318 (2013)

    Article  Google Scholar 

  13. R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria (2008). ISBN 3-900051-07-0

    Google Scholar 

  14. Borbély, A.A., Daan, S., Wirz-Justice, A., Deboer, T.: The two-process model of sleep regulation: a reappraisal. J. Sleep Res. (2016)

    Google Scholar 

  15. Brown, R.E., Basheer, R., McKenna, J.T., Strecker, R.E., McCarley, R.W.: Control of sleep and wakefulness. Physiol. Rev. 92, 1087–1187 (2012)

    Article  Google Scholar 

  16. McShane, B.B., Galante, R.J., Jensen, S.T., Naidoo, N., Pack, A.I., Wyner, A.: Characterization of the bout durations of sleep and wakefulness. J. Neurosci. Methods 193, 321–333 (2010)

    Article  Google Scholar 

  17. Simasko, S.M., Mukherjee, S.: Novel analysis of sleep patterns in rats separates periods of vigilance cycling from long-duration wake events. Behav. Brain Res. 196, 228–236 (2009)

    Article  Google Scholar 

  18. Behn, C.G.D., Brown, E.N., Scammell, T.E., Kopell, N.J.: Mathematical model of network dynamics governing mouse sleep-wake behavior. J. Neurophysiol. 97, 3828–3840 (2007)

    Article  Google Scholar 

  19. Le Bon, O.: Which theories on sleep ultradian cycling are favored by the positive links found between the number of cycles and rems? Biol. Rhythm Res. 44, 675–685 (2013)

    Article  Google Scholar 

  20. Benington, J.H., Heller, H.C.: REM-sleep timing is controlled homeostatically by accumulation of REM-sleep propensity in non-REM sleep. Am. J. Physiol.-Regul. Integr. Comp. Physiol. 266, R1992–R2000 (1994)

    Google Scholar 

  21. Grözinger, M., Beersma, D.G., Fell, J., Röschke, J.: Is the nonREM-REM sleep cycle reset by forced awakenings from REM sleep? Physiol. Behav. 77, 341–347 (2002)

    Article  Google Scholar 

  22. Ocampo-Garcés, A., Vivaldi, E.A.: Short-term homeostasis of REM sleep assessed in an intermittent REM sleep deprivation protocol in the rat. J. Sleep Res. 11, 81–89 (2002)

    Article  Google Scholar 

  23. Steriade, M.: The corticothalamic system in sleep. Front. Biosci. 8, d878–d899 (2003)

    Article  Google Scholar 

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Acknowledgements

This work was supported by a grant from the Spanish Ministry of Economy and Competitiveness (BUF2015-71078P) to L.C.B.

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Correspondence to Juan A. Barios .

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Perez-Atencio, L.F., Garcia-Aracil, N., Fernandez, E., Barrio, L.C., Barios, J.A. (2017). Circadian Modulation of Sleep-Wake Dynamics Evaluated by Transition Probabilities. In: Ferrández Vicente, J., Álvarez-Sánchez, J., de la Paz López, F., Toledo Moreo, J., Adeli, H. (eds) Natural and Artificial Computation for Biomedicine and Neuroscience. IWINAC 2017. Lecture Notes in Computer Science(), vol 10337. Springer, Cham. https://doi.org/10.1007/978-3-319-59740-9_40

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  • DOI: https://doi.org/10.1007/978-3-319-59740-9_40

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