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

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

97 Scopus citations

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

All Science Journal Classification (ASJC) codes

Biophysics

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10.1016/S0006-3495(98)77985-8

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@article{f40577b36bd642ecb14b2120e54daed6,

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.",

author = "Paul So and Francis, \{Joseph T.\} and Netoff, \{Theoden I.\} and Gluckman, \{Bruce J.\} and Schiff, \{Steven J.\}",

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.",

year = "1998",

month = jun,

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language = "English (US)",

volume = "74",

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journal = "Biophysical journal",

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T1 - Periodic orbits

T2 - A new language for neuronal dynamics

AU - So, Paul

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.

PY - 1998/6

Y1 - 1998/6

N2 - 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.

AB - 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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SP - 2776

EP - 2785

JO - Biophysical journal

JF - Biophysical journal

IS - 6

ER -

Periodic orbits: A new language for neuronal dynamics

Abstract

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