Variability and randomness in stationary neuronal activity

BioSystems

Volumn 89, Issue 1-3, 2007, Pages 44-49

  Kostal, Lubomir ^a   Lánský, Petr ^a  

^a INSTITUTE OF PHYSIOLOGY   (Czech Republic)

Author keywords

Coefficient of variation; Entropy; Kullback Leibler; Randomness; Variability

Indexed keywords

ENTROPY; GAUSSIAN METHOD; NERVOUS SYSTEM; POISSON RATIO; VARIANCE ANALYSIS;

ALGORITHM; ANALYTIC METHOD; ARTICLE; COMPARATIVE STUDY; CORRELATION COEFFICIENT; ENTROPY; MATHEMATICAL MODEL; NERVE CELL; POISSON DISTRIBUTION;

ACTION POTENTIALS; NEURONS;

EID: 34247589809     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2006.05.010     Document Type: Article

References (26)

1. Abeles M. Local Cortical Circuits: An Electrophysiological Study (1982), Springer-Verlag, Berlin, Heidelberg
2. Abramowitz M., and Stegun I.A. Handbook of mathematical functions (1972), Dover, New York
3. Adrian E.D. The Basis of Sensation (1928), W.W. Norton, New York
4. Berger D., Pribram K., Wild H., and Bridges C. An analysis of neural spike train distributions: determinants of the response of visual cortex neurons to changes in orientation and spatial frequency. Exp. Brain Res. 80 (1990) 129-134
5. Berger D., and Pribram K. The relationship between the gabor elementary function and a stochastic model of interspike interval distribution in the responses of visual cortex neurons. Biol. Cybern. 67 (1992) 191-194
6. Bershadskii A., Dremencov E., Fukayama D., and Yadid G. Probabilistic properties of neuron spiking time series obtained in vivo. Eur. Phys. J. B 24 (2001) 409-413
7. Bhumbra G.S., Inyushkin A.N., and Dyball R.E.J. Assessment of spike activity in the supraoptic nucleus. J. Neuroendocrin. 16 (2004) 390-397
8. Chacron M.J., Longtin A., and Maler L. Negative interspike interval correlations increase the neuronal capacity for encoding time-dependent stimuli. J. Neurosci. 21 (2001) 5328-5343
9. Chhikhara R.S., and Folks J.L. The Inverse Gaussian Distribution: Theory, Methodology and Applications (1989), Marcel Dekker, Inc., New York
10. Cover T.M., and Thomas J.A. Elements of Information Theory (1991), John Wiley & Sons, Inc., New York
11. Cox D.R., and Lewis P.A.W. The Statistical Analysis of Series of Events (1966), John Wiley & Sons, Inc., New York
12. Fuller M.S., and Looft F. An information theoretic analysis of cutaneous receptor responses. IEEE Trans. Biomed. Eng. 314 (1984) 377-383
13. Gerstein G., and Mandelbrot B. Random walk models for the spike activity of a single neuron. Biophys. J. 4 (1964) 41-68
14. Gerstner W., and Kistler W. Spiking Neuron Models (2002), Cambridge University Press, Cambridge
15. Hentall I.D. Interactions between brainstem and trigeminal neurons detected by cross-spectral analysis. Neuroscience 96 (2000) 601-610
16. Iynegar S., and Liaom Q. Modeling neural activity using the generalized inverse Gaussian distribution. Biol. Cybern. 77 (1997) 289-295
17. Lánský P., Rodriguez R., and Sacerdote L. Mean instantaneous firing frequency is always higher than the firing rate. Neural Comput. 16 (2004) 477-489
18. Levine M.W. The distribution of the intervals between neural impulses in the maintained discharges of retinal ganglion cells. Biol. Cybern. 65 (1991) 459-467
19. Longtin A., and Racicot D.M. Assessment of linear and non-linear correlations between neural firing events. In: Cutler C.D., and Kaplan D.T. (Eds). Nonlinear Dynamics and Time Series: Building a Bridge between the Natural and Statistical Sciences, vol. 11 (1999), Fields Institute Communications 223-239
20. Mandl G. Coding for stimulus velocity by temporal patterning of spike discharges in visual cells of cat superior colliculus. Vision Res. 33 (1992) 1451-1475
21. McKeegan D.E.F. Spontaneous and odor evoked activity in single avian olfactory bulb neurons. Brain Res. 929 (2002) 48-58
22. Middlebrooks J.C., Clock A.B., Xu L., and Green D.M. A panoramic code for sound location by cortical neurons. Science 264 (1994) 842-844
23. Perkel D.H., and Bullock T.H. Neural coding: a report based on a NRP work session. Neurosci. Res. Program Bull. 6 (1968) 221-248
24. Reeke N.R., and Coop A.D. Estimating the temporal entropy of neuronal discharge. Neural Comp. 16 (2004) 941-970
25. Ricciardi L.M., and Lánský P. Diffusion models of neuron activity. In: Arbib M.A. (Ed). The Handbook of Brain Theory and Neural Networks. 2nd ed. (2003), MIT Press, Cambridge
26. Theunissen F., and Miller J.P. Temporal encoding in nervous systems: a rigorous definition. J. Comput. Neurosci. 2 (1995) 149-162