Literature DB >> 9635732

Periodic orbits: a new language for neuronal dynamics.

P So1, J T Francis, T I Netoff, B J Gluckman, S J Schiff.   

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        PMID: 9635732      PMCID: PMC1299619          DOI: 10.1016/S0006-3495(98)77985-8

Source DB:  PubMed          Journal:  Biophys J        ISSN: 0006-3495            Impact factor:   4.033


  31 in total

1.  Evidence for determinism in ventricular fibrillation.

Authors: 
Journal:  Phys Rev Lett       Date:  1995-08-07       Impact factor: 9.161

2.  Controlling chaos.

Authors: 
Journal:  Phys Rev Lett       Date:  1990-03-12       Impact factor: 9.161

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

Authors: 
Journal:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics       Date:  1996-12

4.  Tracking unstable orbits in an experiment.

Authors: 
Journal:  Phys Rev A       Date:  1992-11-15       Impact factor: 3.140

5.  Characterization of low-dimensional dynamics in the crayfish caudal photoreceptor.

Authors:  X Pei; F Moss
Journal:  Nature       Date:  1996-02-15       Impact factor: 49.962

6.  A nonrandom dynamic component in the synaptic noise of a central neuron.

Authors:  P Faure; H Korn
Journal:  Proc Natl Acad Sci U S A       Date:  1997-06-10       Impact factor: 11.205

7.  Detecting low dimensional dynamics in biological experiments.

Authors:  X Pei; F Moss
Journal:  Int J Neural Syst       Date:  1996-09       Impact factor: 5.866

8.  Stochastic versus deterministic variability in simple neuronal circuits: I. Monosynaptic spinal cord reflexes.

Authors:  T Chang; S J Schiff; T Sauer; J P Gossard; R E Burke
Journal:  Biophys J       Date:  1994-08       Impact factor: 4.033

9.  Stochastic versus deterministic variability in simple neuronal circuits: II. Hippocampal slice.

Authors:  S J Schiff; K Jerger; T Chang; T Sauer; P G Aitken
Journal:  Biophys J       Date:  1994-08       Impact factor: 4.033

10.  Predictability of EEG interictal spikes.

Authors:  D A Scott; S J Schiff
Journal:  Biophys J       Date:  1995-11       Impact factor: 4.033

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  11 in total

1.  Low-dimensional dynamics in sensory biology 2: facial cold receptors of the rat.

Authors:  H A Braun; M Dewald; K Schäfer; K Voigt; X Pei; K Dolan; F Moss
Journal:  J Comput Neurosci       Date:  1999 Jul-Aug       Impact factor: 1.621

2.  Anatomy of a chaotic attractor: subtle model-predicted patterns revealed in population data.

Authors:  Aaron A King; R F Costantino; J M Cushing; Shandelle M Henson; Robert A Desharnais; Brian Dennis
Journal:  Proc Natl Acad Sci U S A       Date:  2003-12-17       Impact factor: 11.205

3.  Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns.

Authors:  Bing Jia; Huaguang Gu; Li Li; Xiaoyan Zhao
Journal:  Cogn Neurodyn       Date:  2011-12-07       Impact factor: 5.082

4.  Enhanced synchrony in epileptiform activity? Local versus distant phase synchronization in generalized seizures.

Authors:  Luis Garcia Dominguez; Richard A Wennberg; William Gaetz; Douglas Cheyne; O Carter Snead; Jose Luis Perez Velazquez
Journal:  J Neurosci       Date:  2005-08-31       Impact factor: 6.167

5.  A state space approach for piecewise-linear recurrent neural networks for identifying computational dynamics from neural measurements.

Authors:  Daniel Durstewitz
Journal:  PLoS Comput Biol       Date:  2017-06-02       Impact factor: 4.475

6.  Detection of deterministic behavior within the tissue injury-induced persistent firing of nociceptive neurons in the dorsal horn of the rat spinal cord.

Authors:  Ji-Hong Zheng; Zhong Jian; Jun Chen
Journal:  J Comput Neurosci       Date:  2002 Jul-Aug       Impact factor: 1.621

7.  Analysing nystagmus waveforms: a computational framework.

Authors:  Richard V Abadi; Ozgur E Akman; Gemma E Arblaster; Richard A Clement
Journal:  Sci Rep       Date:  2021-05-07       Impact factor: 4.379

8.  Nonlinear Dynamics Forecasting of Obstructive Sleep Apnea Onsets.

Authors:  Trung Q Le; Satish T S Bukkapatnam
Journal:  PLoS One       Date:  2016-11-11       Impact factor: 3.240

9.  Fractality of sensations and the brain health: the theory linking neurodegenerative disorder with distortion of spatial and temporal scale-invariance and fractal complexity of the visible world.

Authors:  Marina V Zueva
Journal:  Front Aging Neurosci       Date:  2015-07-15       Impact factor: 5.750

Review 10.  The mind-brain relationship as a mathematical problem.

Authors:  Giorgio A Ascoli
Journal:  ISRN Neurosci       Date:  2013-04-14
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