Periodic Orbits: A New Language for Neuronal Dynamics

A new nonlinear dynamical analysis is applied to complex behavior from neuronal systems. The conceptual foundation of this analysis is the abstraction of observed neuronal activities into a dynamical landscape characterized by a hierarchy of “unstable periodic orbits” (UPOs). UPOs are rigorously ide...

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Bibliographic Details
Published inBiophysical journal Vol. 74; no. 6; pp. 2776 - 2785
Main Authors So, Paul, Francis, Joseph T., Netoff, Theoden I., Gluckman, Bruce J., Schiff, Steven J.
Format Journal Article
LanguageEnglish
Published United States Elsevier Inc 01.06.1998
Subjects
Action Potentials
Animals
Biophysics - methods
Electroencephalography
Epilepsy - physiopathology
Hippocampus - physiology
Hippocampus - physiopathology
Humans
In Vitro Techniques
Models, Neurological
Neurons - physiology
Patch-Clamp Techniques
Probability
Pyramidal Cells - physiology
Rats
Reaction Time
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Summary:A new nonlinear dynamical analysis is applied to complex behavior from neuronal systems. The conceptual foundation of this analysis is the abstraction of observed neuronal activities into a dynamical landscape characterized by a hierarchy of “unstable periodic orbits” (UPOs). UPOs are rigorously identified in data sets representative of three different levels of organization in mammalian brain. An analysis based on UPOs affords a novel alternative method of decoding, predicting, and controlling these neuronal systems.
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ISSN:0006-3495
1542-0086
DOI:10.1016/S0006-3495(98)77985-8