Consolidating a Link Centered Neural Connectivity Framework with Directed Transfer Function Asymptotics

2015/01/23 by Luiz A. Baccalá, Baccalá, Luiz A., Daniel Y. Takahashi +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #FOS: Biological sciences #FOS: Mathematics #Neurons and Cognition (q-bio.NC) #Statistics Theory (math.ST) #math.ST #q-bio.NC #stat.TH

paper · pdf · doi:10.48550/arxiv.1501.05836

12 figures

arxiv created 2015/01/23 · arxiv updated 2015/01/26

Abstract

We present a unified mathematical derivation of the asymptotic behaviour of three of the main forms of directed transfer function (DTF) complementing recent partial directed coherence (PDC) results \citeBaccala2013. Based on these results and numerical examples we argue for a new directed `link' centered neural connectivity framework to replace the widespread correlation based effective/functional network concepts so that directed network influences between structures become classified as to whether links are active in a direct or in an indirect way thereby leading to the new notions of Granger connectivity and Granger influenciability which are more descriptive than speaking of Granger causality alone.

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