Skip to main content
Erschienen in: Journal of Computational Neuroscience 3/2015

01.06.2015

Bootstrap testing for cross-correlation under low firing activity

verfasst von: Aldana M. González-Montoro, Ricardo Cao, Nelson Espinosa, Javier Cudeiro, Jorge Mariño

Erschienen in: Journal of Computational Neuroscience | Ausgabe 3/2015

Einloggen

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A new cross-correlation synchrony index for neural activity is proposed. The index is based on the integration of the kernel estimation of the cross-correlation function. It is used to test for the dynamic synchronization levels of spontaneous neural activity under two induced brain states: sleep-like and awake-like. Two bootstrap resampling plans are proposed to approximate the distribution of the test statistics. The results of the first bootstrap method indicate that it is useful to discern significant differences in the synchronization dynamics of brain states characterized by a neural activity with low firing rate. The second bootstrap method is useful to unveil subtle differences in the synchronization levels of the awake-like state, depending on the activation pathway.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Amarasingham, A., Harrison, M.T., Hatsopoulus, N.G., & Geman, S. (2012). Conditional modeling and the jitter method of spike resampling. Journal of Neurophysiology, 107, 517–531.CrossRefPubMedCentralPubMed Amarasingham, A., Harrison, M.T., Hatsopoulus, N.G., & Geman, S. (2012). Conditional modeling and the jitter method of spike resampling. Journal of Neurophysiology, 107, 517–531.CrossRefPubMedCentralPubMed
Zurück zum Zitat Bazhenov, M., Timofeev, I., Steriade, M., & Sejnowski, T. (2002). Model of thalamocortical slow-wave sleep oscillations and transitions to activated states. The Journal of Neuroscience, 22, 8691–8704.PubMed Bazhenov, M., Timofeev, I., Steriade, M., & Sejnowski, T. (2002). Model of thalamocortical slow-wave sleep oscillations and transitions to activated states. The Journal of Neuroscience, 22, 8691–8704.PubMed
Zurück zum Zitat Burlet, S., Tyler, C.J., & Leonard, C.S. (2002). Direct and indirect excitation of laterodorsal tegmental neurons by hypocretin/orexin peptides: Implications for wakefulness and narcolepsy. The Journal of Neuroscience, 22, 2862–2872.PubMed Burlet, S., Tyler, C.J., & Leonard, C.S. (2002). Direct and indirect excitation of laterodorsal tegmental neurons by hypocretin/orexin peptides: Implications for wakefulness and narcolepsy. The Journal of Neuroscience, 22, 2862–2872.PubMed
Zurück zum Zitat Dan, Y., Alonso, J.M., Usrey, W.M., & Reid, R.C. (1998). Coding of visual information by precisely correlated spikes in the lateral geniculate nucleus. Nature Neuroscience, 1, 501–507.CrossRefPubMed Dan, Y., Alonso, J.M., Usrey, W.M., & Reid, R.C. (1998). Coding of visual information by precisely correlated spikes in the lateral geniculate nucleus. Nature Neuroscience, 1, 501–507.CrossRefPubMed
Zurück zum Zitat de la Rocha, J., Doiron, B, Shea-Brown, E., Josic, K., & Reyes, A. (2007). Correlation between neural spike trains increases with firing rate. Nature, 448, 802–806.CrossRefPubMed de la Rocha, J., Doiron, B, Shea-Brown, E., Josic, K., & Reyes, A. (2007). Correlation between neural spike trains increases with firing rate. Nature, 448, 802–806.CrossRefPubMed
Zurück zum Zitat Faes, C., Geys, H., Molenberghs, G., Aerts, M., Cadarso-Suárez, C., Acuña, C., & Cano, M. (2008). A flexible method to measure synchrony in neuronal firing. Journal of the American Statistical Association, 103, 149–161.CrossRef Faes, C., Geys, H., Molenberghs, G., Aerts, M., Cadarso-Suárez, C., Acuña, C., & Cano, M. (2008). A flexible method to measure synchrony in neuronal firing. Journal of the American Statistical Association, 103, 149–161.CrossRef
Zurück zum Zitat González-Montoro, A.M., Cao, R., Faes, C., Molenberghs, G., Espinosa, N., Cudeiro, J., & Mariño, J. (2014). Cross nearest-spike interval based method to measure synchrony dynamics. Mathematical Biosciences and Engineering, 11, 27–48. doi:10.3934/mbe.2014.11.27..CrossRef González-Montoro, A.M., Cao, R., Faes, C., Molenberghs, G., Espinosa, N., Cudeiro, J., & Mariño, J. (2014). Cross nearest-spike interval based method to measure synchrony dynamics. Mathematical Biosciences and Engineering, 11, 27–48. doi:10.​3934/​mbe.​2014.​11.​27.​.CrossRef
Zurück zum Zitat Grün, S. (1996). Unitary joint-events in multiple-neuron spiking activity: detection, significance, and Interpretation. Reihe Physik, Band 60. Verlag Harri Deutsch. Grün, S. (1996). Unitary joint-events in multiple-neuron spiking activity: detection, significance, and Interpretation. Reihe Physik, Band 60. Verlag Harri Deutsch.
Zurück zum Zitat Grün, S., Diesmann, M., & Aertsen, A. (2002a). Unitary events in multiple single-neuron spiking activity: I. detection and significance. Neural Computation, 14, 43–80.CrossRefPubMed Grün, S., Diesmann, M., & Aertsen, A. (2002a). Unitary events in multiple single-neuron spiking activity: I. detection and significance. Neural Computation, 14, 43–80.CrossRefPubMed
Zurück zum Zitat Grün, S., Diesmann, M., & Aertsen, A. (2002b). Unitary events in multiple single-neuron spiking activity: II. nonstationary data. Neural Computation, 14, 81–119.CrossRefPubMed Grün, S., Diesmann, M., & Aertsen, A. (2002b). Unitary events in multiple single-neuron spiking activity: II. nonstationary data. Neural Computation, 14, 81–119.CrossRefPubMed
Zurück zum Zitat Harrison, M.T., Amarasingham, A., & Kass, R.E. (2013). Statistical identification of synchronous spiking. In P. Di Lorenzo, J. Victor, Taylor and Francis (Eds.) Spike timing: mechanisms and function (pp. 77–120). Harrison, M.T., Amarasingham, A., & Kass, R.E. (2013). Statistical identification of synchronous spiking. In P. Di Lorenzo, J. Victor, Taylor and Francis (Eds.) Spike timing: mechanisms and function (pp. 77–120).
Zurück zum Zitat Hu, B., Steriade, M., & Deschênes, M. (1989). The effects of brainstem peribrachial stimulation on perigeniculate neurons: the blockage of spindle waves. Neuroscience, 31, 1–12.CrossRefPubMed Hu, B., Steriade, M., & Deschênes, M. (1989). The effects of brainstem peribrachial stimulation on perigeniculate neurons: the blockage of spindle waves. Neuroscience, 31, 1–12.CrossRefPubMed
Zurück zum Zitat Kass, R.E., Ventura, V., & Brown, E.N. (2005). Statistical issues in the analysis of neuronal data. Journal of Neurophysiology, 94, 8–25.CrossRefPubMed Kass, R.E., Ventura, V., & Brown, E.N. (2005). Statistical issues in the analysis of neuronal data. Journal of Neurophysiology, 94, 8–25.CrossRefPubMed
Zurück zum Zitat Mariño, J., & Cudeiro, J. (2003). Nitric oxide-mediated cortical activation: a diffuse wake-up system. The Journal of Neuroscience, 23, 4299–4307.PubMed Mariño, J., & Cudeiro, J. (2003). Nitric oxide-mediated cortical activation: a diffuse wake-up system. The Journal of Neuroscience, 23, 4299–4307.PubMed
Zurück zum Zitat Nadaraya, E.A. (1964). Remarks on nonparametric for density functions and regression functions. Theory of Probability and its Applications, 15, 134–137.CrossRef Nadaraya, E.A. (1964). Remarks on nonparametric for density functions and regression functions. Theory of Probability and its Applications, 15, 134–137.CrossRef
Zurück zum Zitat Quian Quiroga, R., Kreuz, T., & Grassberg, P. (2002). Event synchronization: a simple and fast method to measure synchronicity and time delay patterns. Physical Review, 66(041904). Quian Quiroga, R., Kreuz, T., & Grassberg, P. (2002). Event synchronization: a simple and fast method to measure synchronicity and time delay patterns. Physical Review, 66(041904).
Zurück zum Zitat Politis, D.N., & Romano, J.P. (1994). The Stationary Bootstrap. Journal of the American Statistical Association, 89, 1303–1313.CrossRef Politis, D.N., & Romano, J.P. (1994). The Stationary Bootstrap. Journal of the American Statistical Association, 89, 1303–1313.CrossRef
Zurück zum Zitat Steriade, M. (1994). Sleep oscillations and their blockage by activating systems. Journal of Psychiatry and Neuroscience, 19, 354–358.PubMedCentralPubMed Steriade, M. (1994). Sleep oscillations and their blockage by activating systems. Journal of Psychiatry and Neuroscience, 19, 354–358.PubMedCentralPubMed
Zurück zum Zitat Steriade, M., McCormick, D.A., & Sejnowski, T.J. (1993). Thalamocortical oscillations in the sleeping and arousal brain. Science, 262, 679–685.CrossRefPubMed Steriade, M., McCormick, D.A., & Sejnowski, T.J. (1993). Thalamocortical oscillations in the sleeping and arousal brain. Science, 262, 679–685.CrossRefPubMed
Zurück zum Zitat Watson, G.S. (1964). Smooth regression analysis. Sankhya: Series A, 26, 359–372. Watson, G.S. (1964). Smooth regression analysis. Sankhya: Series A, 26, 359–372.
Metadaten
Titel
Bootstrap testing for cross-correlation under low firing activity
verfasst von
Aldana M. González-Montoro
Ricardo Cao
Nelson Espinosa
Javier Cudeiro
Jorge Mariño
Publikationsdatum
01.06.2015
Verlag
Springer US
Erschienen in
Journal of Computational Neuroscience / Ausgabe 3/2015
Print ISSN: 0929-5313
Elektronische ISSN: 1573-6873
DOI
https://doi.org/10.1007/s10827-015-0557-5

Weitere Artikel der Ausgabe 3/2015

Journal of Computational Neuroscience 3/2015 Zur Ausgabe