Periodic orbits: A new language for neuronal dynamics

Paul So; Joseph T. Francis; Theoden I. Netoff; Bruce J. Gluckman; Steven J. Schiff

doi:10.1016/S0006-3495(98)77985-8

Periodic orbits: A new language for neuronal dynamics

Paul So, Joseph T. Francis, Theoden I. Netoff, Bruce J. Gluckman, Steven J. Schiff

Biomedical Engineering

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English (US)
Pages (from-to)	2776-2785
Number of pages	10
Journal	Biophysical journal
Volume	74
Issue number	6
DOIs	https://doi.org/10.1016/S0006-3495(98)77985-8
State	Published - Jun 1998

Bibliographical note

Funding Information:
This work was supported by U.S. National Institutes of Mental Health grant 1-R29-MH50006-05 and 1KO2MH01493-01, U.S. Office of Naval Research grant N0014-95-1-0138, and the U.S. Department of Energy through subcontract 85X-SX516V with Oak Ridge National Laboratory.

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title = "Periodic orbits: A new language for neuronal dynamics",

abstract = "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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year = "1998",

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AU - Francis, Joseph T.

AU - Netoff, Theoden I.

AU - Gluckman, Bruce J.

AU - Schiff, Steven J.

N1 - Funding Information: This work was supported by U.S. National Institutes of Mental Health grant 1-R29-MH50006-05 and 1KO2MH01493-01, U.S. Office of Naval Research grant N0014-95-1-0138, and the U.S. Department of Energy through subcontract 85X-SX516V with Oak Ridge National Laboratory.

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Periodic orbits: A new language for neuronal dynamics

Abstract

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