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The Foraging Brain: Evidence of Lévy Dynamics in Brain Networks

Author

Listed:
  • Tommaso Costa
  • Giuseppe Boccignone
  • Franco Cauda
  • Mario Ferraro

Abstract

In this research we have analyzed functional magnetic resonance imaging (fMRI) signals of different networks in the brain under resting state condition. To such end, the dynamics of signal variation, have been conceived as a stochastic motion, namely it has been modelled through a generalized Langevin stochastic differential equation, which combines a deterministic drift component with a stochastic component where the Gaussian noise source has been replaced with α-stable noise. The parameters of the deterministic and stochastic parts of the model have been fitted from fluctuating data. Results show that the deterministic part is characterized by a simple, linear decreasing trend, and, most important, the α-stable noise, at varying characteristic index α, is the source of a spectrum of activity modes across the networks, from those originated by classic Gaussian noise (α = 2), to longer tailed behaviors generated by the more general Lévy noise (1 ≤ α

Suggested Citation

  • Tommaso Costa & Giuseppe Boccignone & Franco Cauda & Mario Ferraro, 2016. "The Foraging Brain: Evidence of Lévy Dynamics in Brain Networks," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-16, September.
    • Handle: RePEc:plo:pone00:0161702
    DOI: 10.1371/journal.pone.0161702
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    References listed on IDEAS

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    2. Daniele Linaro & Marco Storace & Michele Giugliano, 2011. "Accurate and Fast Simulation of Channel Noise in Conductance-Based Model Neurons by Diffusion Approximation," PLOS Computational Biology, Public Library of Science, vol. 7(3), pages 1-17, March.
    3. Boccignone, Giuseppe & Ferraro, Mario, 2004. "Modelling gaze shift as a constrained random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 207-218.
    4. D. Brockmann & L. Hufnagel & T. Geisel, 2006. "The scaling laws of human travel," Nature, Nature, vol. 439(7075), pages 462-465, January.
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    Cited by:

    1. Masuda, Hiroki, 2019. "Non-Gaussian quasi-likelihood estimation of SDE driven by locally stable Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 129(3), pages 1013-1059.

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