Advanced Insights into Functional Brain Connectivity by Combining Tensor Decomposition and Partial Directed Coherence

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Britta Pester - , Friedrich Schiller University Jena (Author)
  • Carolin Ligges - , Friedrich Schiller University Jena (Author)
  • Lutz Leistritz - , Friedrich Schiller University Jena (Author)
  • Herbert Witte - , Friedrich Schiller University Jena (Author)
  • Karin Schiecke - , Friedrich Schiller University Jena (Author)

Abstract

Quantification of functional connectivity in physiological networks is frequently performed by means of time-variant partial directed coherence (tvPDC), based on time-variant multi-variate autoregressive models. The principle advantage of tvPDC lies in the combination of directionality, time variance and frequency selectivity simultaneously, offering a more differentiated view into complex brain networks. Yet the advantages specific to tvPDC also cause a large number of results, leading to serious problems in interpretability. To counter this issue, we propose the decomposition of multi-dimensional tvPDC results into a sum of rank-1 outer products. This leads to a data condensation which enables an advanced interpretation of results. Furthermore it is thereby possible to uncover inherent interaction patterns of induced neuronal subsystems by limiting the decomposition to several relevant channels, while retaining the global influence determined by the preceding multivariate AR estimation and tvPDC calculation of the entire scalp. Finally a comparison between several subjects is considerably easier, as individual tvPDC results are summarized within a comprehensive model equipped with subject-specific loading coefficients. A proof-of-principle of the approach is provided by means of simulated data; EEG data of an experiment concerning visual evoked potentials are used to demonstrate the applicability to real data.

Details

Original languageEnglish
Article number0129293
Number of pages18
JournalPloS one
Volume10
Issue number6
Publication statusPublished - 5 Jun 2015
Peer-reviewedYes
Externally publishedYes

External IDs

PubMed 26046537
WOS 000355652200144
ORCID /0000-0001-8264-2071/work/142254067

Keywords

Keywords

  • PRINCIPAL COMPONENT ANALYSIS, EVENT-RELATED-POTENTIALS, EEG DATA, MEMORY, EFFICIENT, NUMBER, FORM