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Research Article

A unified description of cerebellar inter-spike interval distributions and variabilities using summation of Gaussians

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Pages 74-96 | Received 02 Jun 2011, Accepted 27 Oct 2011, Published online: 07 Dec 2011

References

  • Bair W, Koch C, Newsome WT, Britten KH. Power spectrum analysis of bursting cells in area MT in the behaving monkey. Journal of Neuroscience 1994; 14: 2870–2892
  • Barbieri R, Quirk MC, Frank LM, Wilson MA, Brown EN. Construction and analysis of non-Poisson stimulus response models of neural spike train activity. Journal of Neuroscience Methods 2001; 105: 25–37
  • Brody CD. Correlationwithout synchrony. NeuralComputation 1999; 11(7)1537–1551
  • Brown EN, Kass RE, Mitra PP. Multiple neural spike train data analysis: State-of-the-art and future challenges. Nature Neuroscience 2004; 7(5)456–61
  • Brown EN, Barbieri R, Ventura V, Kass RE, Frank LM. The timerescaling theorem and its application to neural spike data analysis. Neural Computation 2002; 14: 325–346
  • Chen Y, Nitz DA. Use of relative-phase analysis to access correlation between neuronal spike trains. Biological Cybernetics 2003a; 88(3)177–181
  • Chen Y, Nitz DA. Evidence for slow (2–10 Hz) and gamma frequency coherence between spike trains and local field potentials in the cerebellum. Neurocomputing 2003b; 54: 159–164
  • Dayan P, Abbott LF. Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems. MIT press, Cambridge 2001
  • Ermentrout B. Type I membranes, phase resetting curves and synchrony. Neural Computation 1996; 8: 979–1001
  • Gerstein GL, Mandelbrot B. Random walk models for spike activity of a single neuron. Biophysical Journal 1964; 4: 41–68
  • Häusser M, Clark BA. Tonic synaptic inhibition modulates neuronal output pattern and spatiotemporal synaptic integration. Neuron 1997; 19: 665–678
  • Häusser M, Watt A, Cuntz H, Mori M, Nusser Z, Sjöström J. Traveling waves in cerebellar cortex mediated by assymmetric synapic connections between Purkinje cells. Abstract from Computational and Systems Neuroscience, 2008 Feb 28 – Mar 2,. Salt Lake CityUSA 2008
  • Hounsgaard J. Pacemaker properties of mammalian Purkinje cells. Acta. Physiol. Scand. 1979; 106: 91–92
  • Johnson A, Kotz S. Distributions in Statistics: Continuous Univariate Distributions. Wiley, NewYork 1970
  • Kass RE, Ventura V, Brown EN. Statistical issues in the analysis of neuronal data. Journal of Neurophysiology 2005; 94: 8–25
  • Lang EJ, Sugihara I, Welsh JP, Llinás R. Patterns of spontaneous Purkinje cell complex spike activity in the awake rat. Journal of Neuroscience 1999; 19(7)2728–2739
  • Lindner B, Chacron MJ, Longtin A. Integrate-and-fire neurons with threshold noise: A tractable model of how interspike interval correlations affect neuronal signal transmission. Physical Review E 2005; 72: 021911
  • Maex R, De Schutter E. Osillations in the cerebellar cortex: a perdiction of their frequency bands. Progress in Brain Research 2005; 148: 181–188
  • Nitz DA, Tononi G. Tonic rhythmic activity of rat cerebellar neurons. Experimental Brain Research 2002; 146(2)265–270
  • Perkel DH, Gerstein GL, Moore GP. Neuronal spike trains and stochastic point processes. II. Simultaneous spike trains. Biophysical Journal 1967; 7: 419–440
  • Paninski L, Fellows MR, Hatsopoulos NG, Donoghue JP. Spatiotemporal tuning of motor cortical neurons for hand position and velocity. Journal of Neurophysiology 2004; 91: 515–532
  • Puthuraya KP, Nayar U, Deo MG, Manchanda SK. Spontaneous unit activity of Purkinje cells in the developing rat cerebellum. Indian Journal of Medical Research 1980; 72: 739–746, November
  • Shin S-L, Hoebeek FE, Schonewille M, De Zeeuw CI, Aertsen A, De Schutter E. Regular patterns in cerebellar Purkinje cell simple spike trains. PLOS One 2007; 2(5)e485
  • Truccolo W, Eden UT, Fellows MR, Donoghue JP, Brown EN. A point process framework for relating neural spiking activity to spiking history, neural ensemble, and extrinsic covariate effects. Journal of Neurophysiology 2005; 93: 1074–1089
  • Vincent P, Marty A. Neighboring cerebellar Purkinje cells communicate via retrograde inhibition of common presynaptic interneurons. Neuron 1993; 11: 885–893
  • Watt AJ, Cuntz H, Mori M, Nusser Z, Sjöström PJ, Häusser M. Traveling waves in developing cerebellar cortex mediated by asymmetrical Purkinje cell connectivity. Nature Neuroscience 2009; 12: 463–473

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