Skip to main content
Log in

Further study on 1/f fluctuations observed in central single neurons during REM sleep

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

Recently, 1/f fluctuations have been discovered in the single-unit activity of mesencephalic reticular formation (MRF) neurons during REM sleep. In a previous paper, such behavior could satisfyingly be interpreted on the basis of the clustering Poisson process. The question of applicability of this model to other MRF neurons remained unanswered. The present paper reports on 1/f fluctuations in 12 MRF neurons all of which can satisfyingly be modeled by the clustering Poisson process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bernamont J (1937) Fluctuations in the resistance of thin films. Proc Phys Soc London 49:138–139

    Google Scholar 

  • Bendat JS, Piesol AG (1971) Random data. Wiley Interscience, New York

    Google Scholar 

  • Gray CM, König P, Engel AK, Singer W (1989) Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature (London) 338:334–337

    Google Scholar 

  • Grüneis F (1984) A number fluctuation model generating 1/f pattern. Physica 123A:149–160

    Google Scholar 

  • Grüneis F, Baiter H-J (1986) More detailed explication of a number fluctuation model generating 1/f pattern. Physica 136A:432–452

    Google Scholar 

  • Grüneis F, Musha T (1986) Clustering poisson process and 1/f noise. Jpn J Appl Phys 25:1504–1509

    Google Scholar 

  • Grüneis F, Nakao M, Yamamoto M, Musha T, Nakahama H (1989) An interpretation of 1/f fluctuations in neuronal spike trains during dream sleep. Biol Cybern 60:161–169

    Google Scholar 

  • Grüneis F, Nakao M, Yamamoto M (1990) Counting statistics of 1/f fluctuations in neuronal spike trains. Biol Cybern 62:407–413

    Google Scholar 

  • Grüneis F, Nakao M, Yamamoto M, Musha T (1991) 1/f fluctuations in stochastic point processes: new tools for characterizing neuronal outputs. In: Musha T, Sato S, Yamamoto M (eds) Noise in physical systems and 1/f fluctuations. Ohmsha, Ltd. Japan

    Google Scholar 

  • Jasper HH, Ajmone-Marsan CA (1954) Stereotaxic atlas of the diencephalon of the cat. Natl. Res. Council Canada, Ottawa

    Google Scholar 

  • Kiss LB, Hajdu J (1989) Transient diffusion 1/f noise model. Solid State Commun 72:799–802

    Google Scholar 

  • Kobayashi M, Musha T (1982) 1/f fluctuations of heartbeat period. IEEE Trans BME 29:456–457

    Google Scholar 

  • Kodama T, Mushiake H, Shima K, Nakahama H, Yamamoto M (1989a) Slow fluctuations of single unit activities of hippocampal and thalamic neurons in cats. I. Relation to natural sleep and alert states. Brain Res 487:26–34

    Google Scholar 

  • Kodama T, Mushiake H, Shima K, Hayashi T, Yamamoto M (1989b) Slow fluctuations of single unit activities of hippocampal and thalamic neurons in cats. II. Role of serotonin on the stability of neuronal activities. Brain Res 487:35–44

    Google Scholar 

  • Löwen SB, Teich MC (1989) Fractal shot noise. Phys Rev Lett 63:1755–1759

    Google Scholar 

  • Mandelbrot BB (1982) The fractal geometry of nature. WH Freeman and Company, Oxford New York

    Google Scholar 

  • Musha T, Kosugi Y, Matsumozo G, Suzuki M (1981) Modulation of the time relation of action potential pulses propagating along an axon. IEEE Trans BME 28:616–623

    Google Scholar 

  • Musha T, Takeuchi H, Inoue T (1983) 1/f fluctuations in the spontaneous spike discharge intervals of giant snail neuron. IEEE Trans BME 30:194–197

    Google Scholar 

  • Mushiake H, Kodama T, Shima K, Yamamoto M, Nakahama H (1988) Fluctuations in spontaneous discharge of hippocampal theta cells during sleep-waking states and PCPA-induced insomnia. J. Neurophysiol 60:925–939

    Google Scholar 

  • Nakao M, Takahashi T, Mizutani Y, Yamamoto M (1990) Simulation study on dynamics transition in neuronal activity during sleep cycle by using asynchronous and symmetry neuronal network model. Biol Cybern 63:243–250

    Google Scholar 

  • Pawelzik K (1991) Nichtlineare Dynamik und Hirnaktivität. Verlag Harri Deutsch, Frankfurt/Main Thun

    Google Scholar 

  • Teich MC (1989) Fractal character of auditory neural spike train. IEEE Trans Biomed Eng 36:150–160

    Google Scholar 

  • Teich MC, Johnson DH, Kumar AR, Turcott RG (1990) Rate fluctuations and fractional power-law noise recorded from cells in the lower auditory pathway of cat. Hear Res 46:41–52

    Google Scholar 

  • Verveen AA, Derksen HE (1968) Fluctuation phenomena in nerve membrane. Proc IEEE 56:906–916

    Google Scholar 

  • Weissman MB, (1988) 1/f noise and other slow, nonexponential kinetics in condensed matter. Rev Mod Phys 60:537–571

    Google Scholar 

  • Wise ME (1981) Spike interval distribution for neurons and random walks with drift to a fluctuating threshold. In Taille C, (eds) Statistical distributions in scientific work, vol 6. D. Reidel Publishing Company, Dordrecht, pp 211–231

    Google Scholar 

  • Yamamoto M, Nakahama H (1983) Stochastic properties of spontaneous unit discharge in somatosensory cortex and mesencephylic reticular formation during sleep-walking states. J Neurophysiol 49:1182–1198

    Google Scholar 

  • Yamamoto M, Nakahama H, Shima K, Kodama T, Mushiake H (1986a) Markov-dependency and spectral analyses on spike ounts in mesencephalic reticular neurons during sleep and attentive states. Brain Res 366:279–298

    Google Scholar 

  • Yamamoto M, Nakahama H, Shima K, Aya K, Inase M (1986b)Low frequency fluctuations of spontaneous activities of midbrain reticular neurons and their cross correlation. J Physiol Soc Jpn 48:281

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grüneis, F., Nakao, M., Mizutani, Y. et al. Further study on 1/f fluctuations observed in central single neurons during REM sleep. Biol. Cybern. 68, 193–198 (1993). https://doi.org/10.1007/BF00224851

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00224851

Keywords

Navigation