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Bayesian inference of interaction properties of noisy dynamical systems with time-varying coupling: capabilities and limitations

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Abstract

We investigate a recently published analysis framework based on Bayesian inference for the time-resolved characterization of interaction properties of noisy, coupled dynamical systems. It promises wide applicability and a better time resolution than well-established methods. At the example of representative model systems, we show that the analysis framework has the same weaknesses as previous methods, particularly when investigating interacting, structurally different non-linear oscillators. We also inspect the tracking of time-varying interaction properties and propose a further modification of the algorithm, which improves the reliability of obtained results. We exemplarily investigate the suitability of this algorithm to infer strength and direction of interactions between various regions of the human brain during an epileptic seizure. Within the limitations of the applicability of this analysis tool, we show that the modified algorithm indeed allows a better time resolution through Bayesian inference when compared to previous methods based on least square fits.

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Author notes

  1. Jens Wilting

    Present address: Max-Planck-Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077, Göttingen, Germany

Authors and Affiliations

  1. Department of Epileptology, University of Bonn, Sigmund-Freud-Straße 25, 53105, Bonn, Germany

    Jens Wilting & Klaus Lehnertz

  2. Helmholtz Institute for Radiation and Nuclear Physics, University of Bonn, Nussallee 14-16, 53115, Bonn, Germany

    Jens Wilting & Klaus Lehnertz

  3. Interdisciplinary Center for Complex Systems, University of Bonn, Brühler Straße 7, 53175, Bonn, Germany

    Klaus Lehnertz

Authors
  1. Jens Wilting
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  2. Klaus Lehnertz
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Correspondence to Jens Wilting.

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Wilting, J., Lehnertz, K. Bayesian inference of interaction properties of noisy dynamical systems with time-varying coupling: capabilities and limitations. Eur. Phys. J. B 88, 193 (2015). https://doi.org/10.1140/epjb/e2015-60011-0

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