Weak coupling of neurons enables very high-frequency and
ultra-fast oscillations through the interplay of synchronized
phase-shifts

J 2024

Weak coupling of neurons enables very high-frequency and ultra-fast oscillations through the interplay of synchronized phase-shifts

PŘIBYLOVÁ, Lenka, Jan ŠEVČÍK, Veronika ECLEROVÁ, Petr KLIMEŠ, Milan BRÁZDIL et. al.

Basic information

Original name

Weak coupling of neurons enables very high-frequency and ultra-fast oscillations through the interplay of synchronized phase-shifts

Authors

PŘIBYLOVÁ, Lenka (203 Czech Republic, guarantor, belonging to the institution), Jan ŠEVČÍK (203 Czech Republic, belonging to the institution), Veronika ECLEROVÁ (203 Czech Republic, belonging to the institution), Petr KLIMEŠ, Milan BRÁZDIL (203 Czech Republic, belonging to the institution) and Hil MEIJER

Edition

Network Neuroscience, MIT Press, 2024, 2472-1751

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10102 Applied mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 4.700 in 2022

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1162/netn_a_00351

UT WoS

001188411200001

Keywords in English

Very High-Frequency Oscillations; Ultra-Fast Oscillations; Neuronal Network Model; Phase-Shifting Synchrony; Bifurcations; Epilepsy

Abstract

V originále

Recently, in the past decade, high-frequency oscillations (HFOs), very high-frequency oscillations (VHFOs), and ultra-fast oscillations (UFOs) were reported in epileptic patients with drug-resistant epilepsy. However, to this day, the physiological origin of these events has yet to be understood. Our study establishes a mathematical framework based on bifurcation theory for investigating the occurrence of VHFOs and UFOs in depth EEG signals of patients with focal epilepsy, focusing on the potential role of reduced connection strength between neurons in an epileptic focus. We demonstrate that synchronization of a weakly coupled network can generate very and ultra high-frequency signals detectable by nearby microelectrodes. In particular, we show that a bistability region enables the persistence of phase-shift synchronized clusters of neurons. This phenomenon is observed for different hippocampal neuron models, including Morris-Lecar, Destexhe-Paré, and an interneuron model. The mechanism seems to be robust for small coupling, and it also persists with random noise affecting the external current. Our findings suggest that weakened neuronal connections could contribute to the production of oscillations with frequencies above 1000Hz, which could advance our understanding of epilepsy pathology and potentially improve treatment strategies. However, further exploration of various coupling types and complex network models is needed.

Links

GA22-28784S, research and development project

Name: Vysokofrekvenční epileptiformní aktivita v lidském mozku na makro- a mikroskopické úrovni

Investor: Czech Science Foundation

LX22NPO5107, research and development project

Name: Národní ústav pro neurologický výzkum

Investor: Ministry of Education, Youth and Sports of the CR, 5.1 EXCELES

MUNI/A/1132/2022, interní kód MU

Name: Matematické a statistické modelování 7

Investor: Masaryk University

MUNI/G/1213/2022, interní kód MU

Name: Mathematical modeling of very and ultra-fast oscillations in EEG signals

Investor: Masaryk University, Mathematical modeling of very and ultra-fast oscillations in EEG signals, INTERDISCIPLINARY - Interdisciplinary research projects

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Citovat

PŘIBYLOVÁ, Lenka, Jan ŠEVČÍK, Veronika ECLEROVÁ, Petr KLIMEŠ, Milan BRÁZDIL and Hil MEIJER. Weak coupling of neurons enables very high-frequency and ultra-fast oscillations through the interplay of synchronized phase-shifts. Network Neuroscience. MIT Press, 2024, vol. 8, No 1, p. 293-318. ISSN 2472-1751. Available from: https://dx.doi.org/10.1162/netn_a_00351.

@article{2351977,
   author = {Přibylová, Lenka and Ševčík, Jan and Eclerová, Veronika and Klimeš, Petr and Brázdil, Milan and Meijer, Hil},
   article_number = {1},
   doi = {http://dx.doi.org/10.1162/netn_a_00351},
   keywords = {Very High-Frequency Oscillations; Ultra-Fast Oscillations; Neuronal Network Model; Phase-Shifting Synchrony; Bifurcations; Epilepsy},
   language = {eng},
   issn = {2472-1751},
   journal = {Network Neuroscience},
   title = {Weak coupling of neurons enables very high-frequency and ultra-fast oscillations through the interplay of synchronized phase-shifts},
   url = {https://doi.org/10.1162/netn_a_00351},
   volume = {8},
   year = {2024}
}

TY  - JOUR
ID  - 2351977
AU  - Přibylová, Lenka - Ševčík, Jan - Eclerová, Veronika - Klimeš, Petr - Brázdil, Milan - Meijer, Hil
PY  - 2024
TI  - Weak coupling of neurons enables very high-frequency and ultra-fast oscillations through the interplay of synchronized phase-shifts
JF  - Network Neuroscience
VL  - 8
IS  - 1
SP  - 293-318
EP  - 293-318
PB  - MIT Press
SN  - 24721751
KW  - Very High-Frequency Oscillations
KW  - Ultra-Fast Oscillations
KW  - Neuronal Network Model
KW  - Phase-Shifting Synchrony
KW  - Bifurcations
KW  - Epilepsy
UR  - https://doi.org/10.1162/netn_a_00351
N2  - Recently, in the past decade, high-frequency oscillations (HFOs), very high-frequency oscillations (VHFOs), and ultra-fast oscillations (UFOs) were reported in epileptic patients with drug-resistant epilepsy. However, to this day, the physiological origin of these events has yet to be understood. Our study establishes a mathematical framework based on bifurcation theory for investigating the occurrence of VHFOs and UFOs in depth EEG signals of patients with focal epilepsy, focusing on the potential role of reduced connection strength between neurons in an epileptic focus. We demonstrate that synchronization of a weakly coupled network can generate very and ultra high-frequency signals detectable by nearby microelectrodes. In particular, we show that a bistability region enables the persistence of phase-shift synchronized clusters of neurons. This phenomenon is observed for different hippocampal neuron models, including Morris-Lecar, Destexhe-Paré, and an interneuron model. The mechanism seems to be robust for small coupling, and it also persists with random noise affecting the external current. Our findings suggest that weakened neuronal connections could contribute to the production of oscillations with frequencies above 1000Hz, which could advance our understanding of epilepsy pathology and potentially improve treatment strategies. However, further exploration of various coupling types and complex network models is needed.
ER  -

PŘIBYLOVÁ, Lenka, Jan ŠEVČÍK, Veronika ECLEROVÁ, Petr KLIMEŠ, Milan BRÁZDIL and Hil MEIJER. Weak coupling of neurons enables very high-frequency and ultra-fast oscillations through the interplay of synchronized phase-shifts. \textit{Network Neuroscience}. MIT Press, 2024, vol.~8, No~1, p.~293-318. ISSN~2472-1751. Available from: https://dx.doi.org/10.1162/netn\_{}a\_{}00351.

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