Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movements

Understanding the causal relation between neural inputs and movements is very important for the success of brain machine interfaces (BMIs). In this study, we analyze 104 neurons’ firings using statistical, information theoretic, and fractal analysis. The latter include Fano factor analysis, multifra...

Full description

Bibliographic Details
Main Authors: Jing eHu, Yi eZheng, Jianbo eGao
Format: Article
Language:English
Published: Frontiers Media S.A. 2013-10-01
Series:Frontiers in Neurology
Subjects:
Online Access:http://journal.frontiersin.org/Journal/10.3389/fneur.2013.00158/full
_version_ 1819238408313110528
author Jing eHu
Yi eZheng
Jianbo eGao
author_facet Jing eHu
Yi eZheng
Jianbo eGao
author_sort Jing eHu
collection DOAJ
description Understanding the causal relation between neural inputs and movements is very important for the success of brain machine interfaces (BMIs). In this study, we analyze 104 neurons’ firings using statistical, information theoretic, and fractal analysis. The latter include Fano factor analysis, multifractal adaptive fractal analysis (MF-AFA), and wavelet multifractal analysis. We find neuronal firings are highly nonstationary, and Fano factor analysis always indicates long-range correlations in neuronal firings, irrespective of whether those firings are correlated with movement trajectory or not, and thus does not reveal any actual correlations between neural inputs and movements. On the other hand, MF-AFA and wavelet multifractal analysis clearly indicate that when neuronal firings are not well correlated with movement trajectory, they do not have or only have weak temporal correlations. When neuronal firings are well correlated with movements, they are characterized by very strong temporal correlations, up to a time scale comparable to the average time between two successive reaching tasks. This suggests that neurons well correlated with hand trajectory experienced a re-setting effect at the start of each reaching task, in the sense that within the movement correlated neurons the spike trains’ long range dependences persisted about the length of time the monkey used to switch between task executions. A new task execution re-sets their activity, making them only weakly correlated with their prior activities on longer time scales. We further discuss the significance of the coalition of those important neurons in executing cortical control of prostheses.
first_indexed 2024-12-23T13:35:45Z
format Article
id doaj.art-440a786afa774f6588fb54466d2650c6
institution Directory Open Access Journal
issn 1664-2295
language English
last_indexed 2024-12-23T13:35:45Z
publishDate 2013-10-01
publisher Frontiers Media S.A.
record_format Article
series Frontiers in Neurology
spelling doaj.art-440a786afa774f6588fb54466d2650c62022-12-21T17:45:01ZengFrontiers Media S.A.Frontiers in Neurology1664-22952013-10-01410.3389/fneur.2013.0015863996Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movementsJing eHu0Yi eZheng1Jianbo eGao2PMB Intelligence LLCPMB Intelligence LLCWright State UnivUnderstanding the causal relation between neural inputs and movements is very important for the success of brain machine interfaces (BMIs). In this study, we analyze 104 neurons’ firings using statistical, information theoretic, and fractal analysis. The latter include Fano factor analysis, multifractal adaptive fractal analysis (MF-AFA), and wavelet multifractal analysis. We find neuronal firings are highly nonstationary, and Fano factor analysis always indicates long-range correlations in neuronal firings, irrespective of whether those firings are correlated with movement trajectory or not, and thus does not reveal any actual correlations between neural inputs and movements. On the other hand, MF-AFA and wavelet multifractal analysis clearly indicate that when neuronal firings are not well correlated with movement trajectory, they do not have or only have weak temporal correlations. When neuronal firings are well correlated with movements, they are characterized by very strong temporal correlations, up to a time scale comparable to the average time between two successive reaching tasks. This suggests that neurons well correlated with hand trajectory experienced a re-setting effect at the start of each reaching task, in the sense that within the movement correlated neurons the spike trains’ long range dependences persisted about the length of time the monkey used to switch between task executions. A new task execution re-sets their activity, making them only weakly correlated with their prior activities on longer time scales. We further discuss the significance of the coalition of those important neurons in executing cortical control of prostheses.http://journal.frontiersin.org/Journal/10.3389/fneur.2013.00158/fullWaveletBrain machine interface (BMI)Fano factorAdaptive fluctuation analysisNeuronal firings
spellingShingle Jing eHu
Yi eZheng
Jianbo eGao
Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movements
Frontiers in Neurology
Wavelet
Brain machine interface (BMI)
Fano factor
Adaptive fluctuation analysis
Neuronal firings
title Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movements
title_full Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movements
title_fullStr Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movements
title_full_unstemmed Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movements
title_short Long-range temporal correlations, multifractality, and the causal relation between neural inputs and movements
title_sort long range temporal correlations multifractality and the causal relation between neural inputs and movements
topic Wavelet
Brain machine interface (BMI)
Fano factor
Adaptive fluctuation analysis
Neuronal firings
url http://journal.frontiersin.org/Journal/10.3389/fneur.2013.00158/full
work_keys_str_mv AT jingehu longrangetemporalcorrelationsmultifractalityandthecausalrelationbetweenneuralinputsandmovements
AT yiezheng longrangetemporalcorrelationsmultifractalityandthecausalrelationbetweenneuralinputsandmovements
AT jianboegao longrangetemporalcorrelationsmultifractalityandthecausalrelationbetweenneuralinputsandmovements