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International Conference on Geometric Science of Information

GSI 2017: Geometric Science of Information pp 257–264Cite as

Pairwise Ising Model Analysis of Human Cortical Neuron Recordings

Part of the Lecture Notes in Computer Science book series (LNIP,volume 10589)

Abstract

During wakefulness and deep sleep brain states, cortical neural networks show a different behavior, with the second characterized by transients of high network activity. To investigate their impact on neuronal behavior, we apply a pairwise Ising model analysis by inferring the maximum entropy model that reproduces single and pairwise moments of the neuron’s spiking activity. In this work we first review the inference algorithm introduced in Ferrari, Phys. Rev. E (2016) [1]. We then succeed in applying the algorithm to infer the model from a large ensemble of neurons recorded by multi-electrode array in human temporal cortex. We compare the Ising model performance in capturing the statistical properties of the network activity during wakefulness and deep sleep. For the latter, the pairwise model misses relevant transients of high network activity, suggesting that additional constraints are necessary to accurately model the data.

Keywords

  • Ising model
  • Maximum entropy principle
  • Natural gradient
  • Human temporal cortex
  • Multielectrode array recording
  • Brain states

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Notes

  1. 1.

    The results of this section are grounded on the repeated use of central limit theorem. See [1] for more detail.

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Acknowledgments

We thank B. Telenczuk, G. Tkacik and M. Di Volo for useful discussion. Research funded by European Community (Human Brain Project, H2020-720270), ANR TRAJECTORY, ANR OPTIMA, French State program Investissements dAvenir managed by the Agence Nationale de la Recherche [LIFESENSES: ANR-10-LABX-65] and NIH grant U01NS09050.

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Authors and Affiliations

  1. Laboratory of Computational Neuroscience, Unité de Neurosciences, Information et Complexité, CNRS, Gif-Sur-Yvette, France

    Trang-Anh Nghiem & Alain Destexhe

  2. Institut de la Vision, INSERM and UMPC, 17 Rue Moreau, 75012, Paris, France

    Olivier Marre & Ulisse Ferrari

  3. European Institute for Theoretical Neuroscience (EITN), Paris, France

    Trang-Anh Nghiem

Authors
  1. Trang-Anh Nghiem
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  2. Olivier Marre
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  3. Alain Destexhe
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  4. Ulisse Ferrari
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Corresponding author

Correspondence to Ulisse Ferrari .

Editor information

Editors and Affiliations

  1. Ecole Polytechnique, Palaiseau, France

    Prof. Dr. Frank Nielsen

  2. Thales Land and Air Systems, Limours, France

    Frédéric Barbaresco

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Nghiem, TA., Marre, O., Destexhe, A., Ferrari, U. (2017). Pairwise Ising Model Analysis of Human Cortical Neuron Recordings. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science(), vol 10589. Springer, Cham. https://doi.org/10.1007/978-3-319-68445-1_30

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  • DOI: https://doi.org/10.1007/978-3-319-68445-1_30

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