Discriminating deterministic versus stochastic dynamics in neuronal activity |
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| Authors: | Steven J. Schiff Tim Sauer Taeun Chang |
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| Affiliation: | 1. Department of Neurosurgery, Children’s National Medical Center, 111 Michigan Avenue, N.W., 20010, Washington, D.C.
2. Department of Mathematics, George Mason University, Fairfax, Virginia
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| Abstract: | An approach to discriminating deterministic versus stochastic dynamics from neuronal data is presented. Direct tests for determinism are emphasized, as well as using time series with clear physical correlates measured from small ensembles of neurons. Surrogate data are used to provide null hypotheses that the dynamics in our data could be accounted for by linear stochastic systems. Algorithms are given in full, and the analysis of an experimental example is given. |
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| Keywords: | Chaos noise autocorrelation reflex variability synaptic transmission |
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