---
_id: '12762'
abstract:
- lang: eng
  text: Neurons in the brain are wired into adaptive networks that exhibit collective
    dynamics as diverse as scale-specific oscillations and scale-free neuronal avalanches.
    Although existing models account for oscillations and avalanches separately, they
    typically do not explain both phenomena, are too complex to analyze analytically
    or intractable to infer from data rigorously. Here we propose a feedback-driven
    Ising-like class of neural networks that captures avalanches and oscillations
    simultaneously and quantitatively. In the simplest yet fully microscopic model
    version, we can analytically compute the phase diagram and make direct contact
    with human brain resting-state activity recordings via tractable inference of
    the model’s two essential parameters. The inferred model quantitatively captures
    the dynamics over a broad range of scales, from single sensor oscillations to
    collective behaviors of extreme events and neuronal avalanches. Importantly, the
    inferred parameters indicate that the co-existence of scale-specific (oscillations)
    and scale-free (avalanches) dynamics occurs close to a non-equilibrium critical
    point at the onset of self-sustained oscillations.
acknowledgement: This research was funded in whole, or in part, by the Austrian Science
  Fund (FWF) (grant no. PT1013M03318 to F.L. and no. P34015 to G.T.). For the purpose
  of open access, the author has applied a CC BY public copyright licence to any Author
  Accepted Manuscript version arising from this submission. The study was supported
  by the European Union Horizon 2020 research and innovation program under the Marie
  Sklodowska-Curie action (grant agreement No. 754411 to F.L.).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Fabrizio
  full_name: Lombardi, Fabrizio
  id: A057D288-3E88-11E9-986D-0CF4E5697425
  last_name: Lombardi
  orcid: 0000-0003-2623-5249
- first_name: Selver
  full_name: Pepic, Selver
  id: F93245C4-C3CA-11E9-B4F0-C6F4E5697425
  last_name: Pepic
- first_name: Oren
  full_name: Shriki, Oren
  last_name: Shriki
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
- first_name: Daniele
  full_name: De Martino, Daniele
  id: 3FF5848A-F248-11E8-B48F-1D18A9856A87
  last_name: De Martino
  orcid: 0000-0002-5214-4706
citation:
  ama: Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. Statistical modeling
    of adaptive neural networks explains co-existence of avalanches and oscillations
    in resting human brain. <i>Nature Computational Science</i>. 2023;3:254-263. doi:<a
    href="https://doi.org/10.1038/s43588-023-00410-9">10.1038/s43588-023-00410-9</a>
  apa: Lombardi, F., Pepic, S., Shriki, O., Tkačik, G., &#38; De Martino, D. (2023).
    Statistical modeling of adaptive neural networks explains co-existence of avalanches
    and oscillations in resting human brain. <i>Nature Computational Science</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s43588-023-00410-9">https://doi.org/10.1038/s43588-023-00410-9</a>
  chicago: Lombardi, Fabrizio, Selver Pepic, Oren Shriki, Gašper Tkačik, and Daniele
    De Martino. “Statistical Modeling of Adaptive Neural Networks Explains Co-Existence
    of Avalanches and Oscillations in Resting Human Brain.” <i>Nature Computational
    Science</i>. Springer Nature, 2023. <a href="https://doi.org/10.1038/s43588-023-00410-9">https://doi.org/10.1038/s43588-023-00410-9</a>.
  ieee: F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, and D. De Martino, “Statistical
    modeling of adaptive neural networks explains co-existence of avalanches and oscillations
    in resting human brain,” <i>Nature Computational Science</i>, vol. 3. Springer
    Nature, pp. 254–263, 2023.
  ista: Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. 2023. Statistical modeling
    of adaptive neural networks explains co-existence of avalanches and oscillations
    in resting human brain. Nature Computational Science. 3, 254–263.
  mla: Lombardi, Fabrizio, et al. “Statistical Modeling of Adaptive Neural Networks
    Explains Co-Existence of Avalanches and Oscillations in Resting Human Brain.”
    <i>Nature Computational Science</i>, vol. 3, Springer Nature, 2023, pp. 254–63,
    doi:<a href="https://doi.org/10.1038/s43588-023-00410-9">10.1038/s43588-023-00410-9</a>.
  short: F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, D. De Martino, Nature Computational
    Science 3 (2023) 254–263.
date_created: 2023-03-26T22:01:08Z
date_published: 2023-03-20T00:00:00Z
date_updated: 2023-08-16T12:41:53Z
day: '20'
ddc:
- '570'
department:
- _id: GaTk
- _id: GradSch
doi: 10.1038/s43588-023-00410-9
ec_funded: 1
external_id:
  arxiv:
  - '2108.06686'
file:
- access_level: open_access
  checksum: 7c63b2b2edfd68aaffe96d70ca6a865a
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-16T12:39:57Z
  date_updated: 2023-08-16T12:39:57Z
  file_id: '14073'
  file_name: 2023_NatureCompScience_Lombardi.pdf
  file_size: 4474284
  relation: main_file
  success: 1
file_date_updated: 2023-08-16T12:39:57Z
has_accepted_license: '1'
intvolume: '         3'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 254-263
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: eb943429-77a9-11ec-83b8-9f471cdf5c67
  grant_number: M03318
  name: Functional Advantages of Critical Brain Dynamics
- _id: 626c45b5-2b32-11ec-9570-e509828c1ba6
  grant_number: P34015
  name: Efficient coding with biophysical realism
publication: Nature Computational Science
publication_identifier:
  eissn:
  - 2662-8457
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Statistical modeling of adaptive neural networks explains co-existence of avalanches
  and oscillations in resting human brain
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2023'
...
---
_id: '10912'
abstract:
- lang: eng
  text: Brain dynamics display collective phenomena as diverse as neuronal oscillations
    and avalanches. Oscillations are rhythmic, with fluctuations occurring at a characteristic
    scale, whereas avalanches are scale-free cascades of neural activity. Here we
    show that such antithetic features can coexist in a very generic class of adaptive
    neural networks. In the most simple yet fully microscopic model from this class
    we make direct contact with human brain resting-state activity recordings via
    tractable inference of the model's two essential parameters. The inferred model
    quantitatively captures the dynamics over a broad range of scales, from single
    sensor fluctuations, collective behaviors of nearly-synchronous extreme events
    on multiple sensors, to neuronal avalanches unfolding over multiple sensors across
    multiple time-bins. Importantly, the inferred parameters correlate with model-independent
    signatures of "closeness to criticality", suggesting that the coexistence of scale-specific
    (neural oscillations) and scale-free (neuronal avalanches) dynamics in brain activity
    occurs close to a non-equilibrium critical point at the onset of self-sustained
    oscillations.
acknowledgement: "FL acknowledges support from the European Union’s Horizon 2020 research
  and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 754411.
  GT\r\nacknowledges the support of the Austrian Science Fund (FWF) under Stand-Alone
  Grant\r\nNo. P34015."
article_processing_charge: No
arxiv: 1
author:
- first_name: Fabrizio
  full_name: Lombardi, Fabrizio
  id: A057D288-3E88-11E9-986D-0CF4E5697425
  last_name: Lombardi
  orcid: 0000-0003-2623-5249
- first_name: Selver
  full_name: Pepic, Selver
  id: F93245C4-C3CA-11E9-B4F0-C6F4E5697425
  last_name: Pepic
- first_name: Oren
  full_name: Shriki, Oren
  last_name: Shriki
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
- first_name: Daniele
  full_name: De Martino, Daniele
  last_name: De Martino
citation:
  ama: Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. Quantifying the coexistence
    of neuronal oscillations and avalanches. doi:<a href="https://doi.org/10.48550/ARXIV.2108.06686">10.48550/ARXIV.2108.06686</a>
  apa: Lombardi, F., Pepic, S., Shriki, O., Tkačik, G., &#38; De Martino, D. (n.d.).
    Quantifying the coexistence of neuronal oscillations and avalanches. arXiv. <a
    href="https://doi.org/10.48550/ARXIV.2108.06686">https://doi.org/10.48550/ARXIV.2108.06686</a>
  chicago: Lombardi, Fabrizio, Selver Pepic, Oren Shriki, Gašper Tkačik, and Daniele
    De Martino. “Quantifying the Coexistence of Neuronal Oscillations and Avalanches.”
    arXiv, n.d. <a href="https://doi.org/10.48550/ARXIV.2108.06686">https://doi.org/10.48550/ARXIV.2108.06686</a>.
  ieee: F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, and D. De Martino, “Quantifying
    the coexistence of neuronal oscillations and avalanches.” arXiv.
  ista: Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. Quantifying the coexistence
    of neuronal oscillations and avalanches. <a href="https://doi.org/10.48550/ARXIV.2108.06686">10.48550/ARXIV.2108.06686</a>.
  mla: Lombardi, Fabrizio, et al. <i>Quantifying the Coexistence of Neuronal Oscillations
    and Avalanches</i>. arXiv, doi:<a href="https://doi.org/10.48550/ARXIV.2108.06686">10.48550/ARXIV.2108.06686</a>.
  short: F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, D. De Martino, (n.d.).
date_created: 2022-03-21T11:41:28Z
date_published: 2021-08-17T00:00:00Z
date_updated: 2022-03-22T07:53:18Z
day: '17'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.48550/ARXIV.2108.06686
ec_funded: 1
external_id:
  arxiv:
  - '2108.06686'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2108.06686
month: '08'
oa: 1
oa_version: Preprint
page: '37'
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 626c45b5-2b32-11ec-9570-e509828c1ba6
  grant_number: P34015
  name: Efficient coding with biophysical realism
publication_status: submitted
publisher: arXiv
status: public
title: Quantifying the coexistence of neuronal oscillations and avalanches
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...