Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble

Steven J. Schiff, Paul So, Taeun Chang, Robert E. Burke, Tim Sauer

Research output: Contribution to journalArticle

320 Citations (Scopus)

Abstract

A method to characterize dynamical interdependence among nonlinear systems is derived based on mutual nonlinear prediction. Systems with nonlinear correlation will show mutual nonlinear prediction when standard analysis with linear cross correlation might fail. Mutual nonlinear prediction also provides information on the directionality of the coupling between systems. Furthermore, the existence of bidirectional mutual nonlinear prediction in unidirectionally coupled systems implies generalized synchrony. Numerical examples studied include three classes of unidirectionally coupled systems: systems with identical parameters, nonidentical parameters, and stochastic driving of a nonlinear system. This technique is then applied to the activity of motoneurons within a spinal cord motoneuron pool. The interrelationships examined include single neuron unit firing, the total number of neurons discharging at one time as measured by the integrated monosynaptic reflex, and intracellular measurements of integrated excitatory postsynaptic potentials (EPSP's). Dynamical interdependence, perhaps generalized synchrony, was identified in this neuronal network between simultaneous single unit firings, between units and the population, and between units and intracellular EPSP's.

Original languageEnglish (US)
Pages (from-to)6708-6724
Number of pages17
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume54
Issue number6
DOIs
StatePublished - Jan 1 1996

Fingerprint

Nonlinear Prediction
Synchrony
Ensemble
Unit
Prediction
predictions
nonlinear systems
neurons
Coupled System
Neuron
Nonlinear Systems
spinal cord
reflexes
Neuronal Network
Cross-correlation
cross correlation
Imply
Numerical Examples

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble. / Schiff, Steven J.; So, Paul; Chang, Taeun; Burke, Robert E.; Sauer, Tim.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 54, No. 6, 01.01.1996, p. 6708-6724.

Research output: Contribution to journalArticle

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