Kim SI et al. (2005). Fractal stochastic modeling of spiking activity in suprachiasmatic nucleus neurons. Journal of computational neuroscience. 19 [PubMed]

See more from authors: Kim SI · Jeong J · Kwak Y · Kim YI · Jung SH · Lee KJ

References and models cited by this paper

Achermann P, Kunz H. (1999). Modeling circadian rhythm generation in the suprachiasmatic nucleus with locally coupled self-sustained oscillators: phase shifts and phase response curves. Journal of biological rhythms. 14 [PubMed]

Allan DW. (1966). Statistics of atomic frequency standards Proceedings Of The IEEE. 54

Antle MC, Foley DK, Foley NC, Silver R. (2003). Gates and oscillators: a network model of the brain clock. Journal of biological rhythms. 18 [PubMed]

Colwell CS. (2000). Rhythmic coupling among cells in the suprachiasmatic nucleus. Journal of neurobiology. 43 [PubMed]

Cox D, Lewis P. (1996). The Statistical Analysis Of Series Of Events.

Forger DB et al. (2003). Development and validation of computational models for mammalian circadian oscillators. Omics : a journal of integrative biology. 7 [PubMed]

Gillette MU. (1991). SCN electrophysiology in vitro: Rhythmic activity and endogenous clock properties Suprachiasmatic Nucleus: The Minds Clock.

Goldbeter A. (1995). A model for circadian oscillations in the Drosophila period protein (PER). Proceedings. Biological sciences. 261 [PubMed]

Inouye ST, Kawamura H. (1979). Persistence of circadian rhythmicity in a mammalian hypothalamic "island" containing the suprachiasmatic nucleus. Proceedings of the National Academy of Sciences of the United States of America. 76 [PubMed]

Jagota A, de la Iglesia HO, Schwartz WJ. (2000). Morning and evening circadian oscillations in the suprachiasmatic nucleus in vitro. Nature neuroscience. 3 [PubMed]

Jewett ME, Kronauer RE. (1998). Refinement of a limit cycle oscillator model of the effects of light on the human circadian pacemaker. Journal of theoretical biology. 192 [PubMed]

Kelly OE, Johnson DH, Delgutte B, Cariani P. (1996). Fractal noise strength in auditory-nerve fiber recordings. The Journal of the Acoustical Society of America. 99 [PubMed]

Kim YI, Jeong J, Kwak Y, Lee KJ. (). Temporal dynamics underlying spiking patterns of the rat suprachiasmatic nucleus in vitro (submitted).

Kronauer RE. (1990). A quantitative model for the effects of light on the amplitude and phase of the deep circadian pacemaker, based on human data Sleep.

Kumar AR, Johnson DH. (1993). Analyzing and modeling fractal intensity point processes. The Journal of the Acoustical Society of America. 93 [PubMed]

Leloup JC, Goldbeter A. (2003). Toward a detailed computational model for the mammalian circadian clock. Proceedings of the National Academy of Sciences of the United States of America. 100 [PubMed]

Leloup JC, Gonze D, Goldbeter A. (1999). Limit cycle models for circadian rhythms based on transcriptional regulation in Drosophila and Neurospora. Journal of biological rhythms. 14 [PubMed]

Levine MW. (1980). Firing rate of a retinal neuron are not predictable from interspike interval statistics. Biophysical journal. 30 [PubMed]

Lewis CD, Gebber GL, Larsen PD, Barman SM. (2001). Long-term correlations in the spike trains of medullary sympathetic neurons. Journal of neurophysiology. 85 [PubMed]

Liebovitch LS, Koniarek JP. (1992). Ion channel kinetics. Protein switching between conformational states is fractal in time IEEE Eng Med Biol. 11

Liebovitch LS, Toth TI. (1991). A model of ion channel kinetics using deterministic chaotic rather than stochastic processes. Journal of theoretical biology. 148 [PubMed]

Liebovitch LS, Tóth TI. (1990). Using fractals to understand the opening and closing of ion channels. Annals of biomedical engineering. 18 [PubMed]

Linkenkaer-Hansen K, Nikouline VV, Palva JM, Ilmoniemi RJ. (2001). Long-range temporal correlations and scaling behavior in human brain oscillations. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [PubMed]

Linkenkaer-Hansen K, Nikulin VV, Palva JM, Kaila K, Ilmoniemi RJ. (2004). Stimulus-induced change in long-range temporal correlations and scaling behaviour of sensorimotor oscillations. The European journal of neuroscience. 19 [PubMed]

Liu C, Weaver DR, Strogatz SH, Reppert SM. (1997). Cellular construction of a circadian clock: period determination in the suprachiasmatic nuclei. Cell. 91 [PubMed]

Longtin A. (1993). Nonlinear forecasting of spike trains from sensory neurons Intl J Bifurc Chaos. 3

Lowen SB, Cash SS, Poo M, Teich MC. (1997). Quantal neurotransmitter secretion rate exhibits fractal behavior. The Journal of neuroscience : the official journal of the Society for Neuroscience. 17 [PubMed]

Lowen SB, Liebovitch LS, White JA. (1999). Fractal ion-channel behavior generates fractal firing patterns in neuronal models. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 59 [PubMed]

Lowen SB, Ozaki T, Kaplan E, Saleh BE, Teich MC. (2001). Fractal features of dark, maintained, and driven neural discharges in the cat visual system. Methods (San Diego, Calif.). 24 [PubMed]

Lowen SB, Teich MC. (1993). Fractal renewal processes IEEE Trans Info Theo. 39

Lowen SB, Teich MC. (1996). The periodogram and Allan variance reveal fractal exponents greater than unity in auditory-nerve spike trains. The Journal of the Acoustical Society of America. 99 [PubMed]

Läuger P. (1988). Internal motions in proteins and gating kinetics of ionic channels. Biophysical journal. 53 [PubMed]

Marom S. (1998). Slow changes in the availability of voltage-gated ion channels: effects on the dynamics of excitable membranes. The Journal of membrane biology. 161 [PubMed]

Meijer JH, Rietveld WJ. (1989). Neurophysiology of the suprachiasmatic circadian pacemaker in rodents. Physiological reviews. 69 [PubMed]

Millhauser GL, Salpeter EE, Oswald RE. (1988). Diffusion models of ion-channel gating and the origin of power-law distributions from single-channel recording. Proceedings of the National Academy of Sciences of the United States of America. 85 [PubMed]

Moore RY, Newman GC, Hospod FE, Patlak CS. (1992). Analysis of in vitro glucose utilization in a circadian pacemaker model. J Neurosci. 12

Moore RY, Speh JC. (1993). GABA is the principal neurotransmitter of the circadian system. Neuroscience letters. 150 [PubMed]

Morin LP. (1994). The circadian visual system. Brain research. Brain research reviews. 19 [PubMed]

Nakao M et al. (1993). Further study on 1/f fluctuations observed in central single neurons during REM sleep. Biol Cybern. 68

Okamura H et al. (1989). Demonstration of GABAergic cell bodies in the suprachiasmatic nucleus: in situ hybridization of glutamic acid decarboxylase (GAD) mRNA and immunocytochemistry of GAD and GABA. Neuroscience letters. 102 [PubMed]

Pavlidis T. (1967). A model for circadian clocks. The Bulletin of mathematical biophysics. 29 [PubMed]

Pennartz CM, Bierlaagh MA, Geurtsen AM. (1997). Cellular mechanisms underlying spontaneous firing in rat suprachiasmatic nucleus: involvement of a slowly inactivating component of sodium current. Journal of neurophysiology. 78 [PubMed]

Pennartz CM, De Jeu MT, Geurtsen AM, Sluiter AA, Hermes ML. (1998). Electrophysiological and morphological heterogeneity of neurons in slices of rat suprachiasmatic nucleus. The Journal of physiology. 506 ( Pt 3) [PubMed]

Reppert SM, Weaver DR. (2001). Molecular analysis of mammalian circadian rhythms. Annual review of physiology. 63 [PubMed]

Reppert SM, Weaver DR. (2002). Coordination of circadian timing in mammals. Nature. 418 [PubMed]

Salvi RJ, Powers NL. (1992). Abstracts of the XV Midwinter Reseach Meeting, Association For Research In Otolaryngology. 292

Schaap J, Pennartz CM, Meijer JH. (2003). Electrophysiology of the circadian pacemaker in mammals. Chronobiology international. 20 [PubMed]

Schreiber T, Schmitz A. (2000). Surrogate time series Physica D. 142

Schwartz WJ, Gross RA, Morton MT. (1987). The suprachiasmatic nuclei contain a tetrodotoxin-resistant circadian pacemaker. Proceedings of the National Academy of Sciences of the United States of America. 84 [PubMed]

Shen Y, Olbrich E, Achermann P, Meier PF. (2003). Dimensional complexity and spectral properties of the human sleep EEG. Electroencephalograms. Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology. 114 [PubMed]

Shirakawa T, Honma S, Honma K. (2001). Multiple oscillators in the suprachiasmatic nucleus. Chronobiology international. 18 [PubMed]

Soen Y, Braun E. (2000). Scale-invariant fluctuations at different levels of organization in developing heart cell networks. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 61 [PubMed]

Steedman WM, Iggo A, Molony V, Korogod S, Zachary S. (1983). Statistical analysis of ongoing activity of neurones in the substantia gelatinosa and in lamina III of cat spinal cord. Quarterly journal of experimental physiology (Cambridge, England). 68 [PubMed]

Steedman WM, Zachary S. (1990). Characteristics of background and evoked discharges of multireceptive neurons in lumbar spinal cord of cat. Journal of neurophysiology. 63 [PubMed]

Teich MC. (1989). Fractal character of the auditory neural spike train. IEEE transactions on bio-medical engineering. 36 [PubMed]

Teich MC, Heneghan C, Lowen SB, Ozaki T, Kaplan E. (1997). Fractal character of the neural spike train in the visual system of the cat. Journal of the Optical Society of America. A, Optics, image science, and vision. 14 [PubMed]

Teich MC, Turcott RG, Barker PDR. (1995). Long-duration correlation in the sequence of action potentials in an insect visual interneuron J Stat Comput Sim. 52

Toib A, Lyakhov V, Marom S. (1998). Interaction between duration of activity and time course of recovery from slow inactivation in mammalian brain Na+ channels. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]

Tuckwell HC. (1989). Stochastic Processes In The Neurosciences.

West BJ. (1990). Fractal Physiology and Chaos in Medicine.

Wever R. (1972). Virtual synchronization towards the limits of the range of entrainment. Journal of theoretical biology. 36 [PubMed]

Winfree AT. (2002). Oscillating systems. On emerging coherence. Science (New York, N.Y.). 298 [PubMed]

Wise ME. (1981). Spike interval distributions for neurons and random walks with drift to a fluctuating threshold Statistical Distributions In Scientific Work. 6

Yamaguchi S et al. (2003). Synchronization of cellular clocks in the suprachiasmatic nucleus. Science (New York, N.Y.). 302 [PubMed]

van den Pol AN, Dudek FE. (1993). Cellular communication in the circadian clock, the suprachiasmatic nucleus. Neuroscience. 56 [PubMed]

van den Pol AN, Finkbeiner SM, Cornell-Bell AH. (1992). Calcium excitability and oscillations in suprachiasmatic nucleus neurons and glia in vitro. The Journal of neuroscience : the official journal of the Society for Neuroscience. 12 [PubMed]

References and models that cite this paper

Sim CK, Forger DB. (2007). Modeling the electrophysiology of suprachiasmatic nucleus neurons. Journal of biological rhythms. 22 [PubMed]

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.