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Function Follows Dynamics: State-Dependency of Directed Functional Influences

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Directed Information Measures in Neuroscience

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

Brain function requires the control of inter-circuit interactions on timescales faster than synaptic changes. In particular, strength and direction of causal influences between neural populations (described by the so-called directed functional connectivity)must be reconfigurable even when the underlying structural connectivity is fixed. Such influences can be quantified through causal analysis of time-series of neural activity with tools like Transfer Entropy. But how can manifold functional networks stem from fixed structures? Considering model systems at different scales, like neuronal cultures or cortical multi-areal motifs, we show that “function and information follow dynamics”, rather than structure. Different dynamic states of a same structural network, characterized by different synchronization properties, are indeed associated to different directed functional networks, corresponding to alternative information flow patterns. Here we discuss how suitable generalizations of Transfer Entropy, taking into account switching between collective states of the analyzed circuits, can provide a picture of directed functional interactions in agreement with a “ground-truth” description at the dynamical systems level.

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Author information

Authors and Affiliations

  1. Institute for Systems Neuroscience, INSERM UMR 1106, Aix-Marseille University, 27, Boulevard Jean Moulin, F-13005, Marseille, France

    Demian Battaglia

  2. Max Planck Institute for Dynamics and Selforganization and Bernstein Center for Computational Neuroscience, Am Faßberg 17, D-37077, Göttingen, France

    Demian Battaglia

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  1. Demian Battaglia
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Editors and Affiliations

  1. Brain Imaging Center, Frankfurt am Main, Germany

    Michael Wibral

  2. Max-Planck Institute for Brain Research, Frankfurt am Main, Germany

    Raul Vicente

  3. CSIRO Computational Informatics, Marsfield, Sydney, Australia

    Joseph T. Lizier

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Battaglia, D. (2014). Function Follows Dynamics: State-Dependency of Directed Functional Influences. In: Wibral, M., Vicente, R., Lizier, J. (eds) Directed Information Measures in Neuroscience. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54474-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-54474-3_5

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