title: Determination of effective brain connectivity from functional connectivity with application to resting state connectivities.
abstract: Neural field theory insights are used to derive effective brain connectivity matrices from the functional connectivity matrix defined by activity covariances. The symmetric case is exactly solved for a resting state system driven by white noise, in which strengths of connections, often termed effective connectivities, are inferred from functional data; these include strengths of connections that are underestimated or not detected by anatomical imaging. Proximity to criticality is calculated and found to be consistent with estimates obtainable from other methods. Links between anatomical, effective, and functional connectivity and resting state activity are quantified, with applicability to other complex networks. Proof-of-principle results are illustrated using published experimental data on anatomical connectivity and resting state functional connectivity. In particular, it is shown that functional connection matrices can be used to uncover the existence and strength of connections that are missed from anatomical connection matrices, including interhemispheric connections that are difficult to track with techniques such as diffusion spectrum imaging.
authors.affiliation: School of Physics, University of Sydney, New South Wales 2006, Australia Center for Integrative Brain Function, University of Sydney, New South Wales 2006, Australia Cooperative Research Center for Alertness, Safety, and Productivity, University of Sydney, New South Wales 2006, Australia Neurosleep, 431 Glebe Point Rd, Glebe, New South Wales 2037, Australia Center for Integrative Research and Understanding of Sleep, 431 Glebe Pt Rd, Glebe, New South Wales 2037, Australia and Brain Dynamics Center, Westmead Millennium Institute, Darcy Rd, Westmead, New South Wales 2145, Australia.
authors.forename: P A
authors.initials: PA
authors.lastname: Robinson
authors.affiliation: School of Physics, University of Sydney, New South Wales 2006, Australia and Design Lab, Faculty of Architecture, Design, and Planning, University of Sydney, New South Wales 2006, Australia.
authors.forename: S
authors.initials: S
authors.lastname: Sarkar
authors.affiliation: School of Physics, University of Sydney, New South Wales 2006, Australia.
authors.forename: Grishma Mehta
authors.initials: GM
authors.lastname: Pandejee
authors.affiliation: School of Physics, University of Sydney, New South Wales 2006, Australia.
authors.forename: J A
authors.initials: JA
authors.lastname: Henderson
mesh_terms: D001481:Basal Metabolism; D001921:Brain / Q000378:metabolism / Q000502:physiology*; D008959:Models, Neurological; D009415:Nerve Net / Q000378:metabolism / Q000502:physiology*