Abstract
A new method is proposed to analyse dependencies in point processes, which takes into account specific character of neuronal activity. Simulation modelling of neuronal network revealed that the estimated weight of connection depends monotonically on the value of the model synaptic strength. In contrast to the crosscorrelation, the method allows for nonlinear interconnections and does not require point processes to be stationary and samples to be large. Examples are presented of the method's application to neurophysiological data analysis.
Similar content being viewed by others
References
Bechtereva, N.P.: Healthy and diseased human brain (in Russian). Leningrad: Nauka 1980
Borisyuk, G.N., Borisyuk, R.M., Kirillov, A.B., Kovalenko, E.I., Kryukov, V.I.: On the estimation of the synaptic weights of neuronal networks in a multidimensional analysis of spike activity (in Russian). In: Interacting Markov processes and their application in biology. pp. 152–177. Dobrushin, R.L., Kryukov, V.I., Toom, A.L., eds. Pushchino: Academy of Sciences of the USSR 1979
Brillinger, D.R.: Estimation of the second-order intensities of a bivariate stationary process. J. Stat. Soc. B 38, 60–66 (1976)
Cox, D.R.: The statistical analysis of dependencies in point processes. In: Stochastic point processes. pp. 55–66. Lewis, P.A., ed. New York: Wiley 1972
Cox, D.R., Lewis, P.A.: The statistical analysis of series of events. New York: Wiley 1966
Dickson, J., Gerstein, G.: Interactions between neurons in auditory cortex of the cat. J. Neurophysiol. 37, 1239–1261 (1974)
Gasanov, U.G., Galashina, A.G.: The investigation of plastic changes in the cortical neuronal interconnections. Zh. J. P. Pavlona Vyssh. Nervn. Deyat. 26, 820–827 (1976)
Godukhin, O.V., Borisyuk, G.N., Borisyuk, R.M., Kirillov, A.B.: Analysis of spike activity and the character of interconnection of identified output neurons in the rat's neostriatum. Neurofiziologia 14, 470–475 (1982)
Godukhin, O.V., Borisyuk, G.N., Borisyuk, R.M., Kirillov, A.B., Kovalenko, E.I., Kryukov, V.I.: Types of spike activity and character of neuron interconnection in the rat's neostriatum. Neurofiziologia 13, 571–579 (1981)
Kostyuk, P.G.: The main mechanisms of neuronal combination in the nerve centre (in Russian). In: Principles of systemic organization of functions. pp. 115–124. Moscow: Nauka 1973
Kristan, W.B.: Characterization of connectivity among intervertebrate motor neurons cross-correlation of spike trains. In: The neurosciences. Third study program. pp. 371–377. Cambridge MA: MIT Press 1974
Kroeker, J.P.: Synaptic facilitation in Aplysia explored by random presynaptic stimulation. J. Gen. Physiol. 73, 747–763 (1979)
Livanov, M.N.: Neuronal interactions as possible mechanisms of the memory. Fiziol. Chel. 3, 756–762 (1977)
Lyamin, E.A.: Estimates for dependencies in point processes. Biofizika 13, 827–834 (1968)
Marmarelis, P.Z., Marmarelis, V.Z.: Analysis of physiological systems. New York, London: Plenum Press 1978
Vinogradova, O.S.: The hippocamp and the memory (in Russian). Moscow: Nauka 1975
Yagodnitsyn, A.S., Shik, M.L.: The correlation analysis of spike activity of neuron pairs in the cat's midbrain operculum. Biofizika 18, 762–765 (1973)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Borisyuk, G.N., Borisyuk, R.M., Kirillov, A.B. et al. A new statistical method for identifying interconnections between neuronal network elements. Biol. Cybern. 52, 301–306 (1985). https://doi.org/10.1007/BF00355752
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00355752