Cycle multistability and synchronization mechanisms in coupled interneurons: In-phase and anti-phase dynamics under current stimuli
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00141132" target="_blank" >RIV/00216224:14310/25:00141132 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.amc.2025.129500" target="_blank" >https://doi.org/10.1016/j.amc.2025.129500</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2025.129500" target="_blank" >10.1016/j.amc.2025.129500</a>
Alternative languages
Result language
angličtina
Original language name
Cycle multistability and synchronization mechanisms in coupled interneurons: In-phase and anti-phase dynamics under current stimuli
Original language description
Over the last decade, high-frequency oscillations (HFOs), very high-frequency oscillations (VHFOs), and ultra-fast oscillations (UFOs) have been proposed as possible biomarkers for epileptogenic zones in individuals with drug-resistant epilepsy. Despite considerable interest, the mechanisms responsible for producing such high frequencies, significantly surpassing the physiological limits of neuronal firing, remain an open question. Using concepts from bifurcation theory, we extend our mathematical framework for modeling the emergence of apparent VHFOs, which might eventually manifest in depth electroencephalographic (EEG) signals, by incorporating an external stimulus responsible for subsequent frequency multiplication. Focusing on the dynamics of two gap-junctionally coupled interneurons, this research provides a detailed analysis of multistable regions, along with an extensive description of possible dynamical regimes associated with external current stimulation, analogous to the frequency-input curve for a single interneuron. In particular, we describe the ability of the stimulus to activate and deactivate oscillation modes in anti-phase or in-phase, including their mutual interchange. Finally, we apply this framework to analyze a collective response of a large heterogeneous two-layer network.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
503
Issue of the periodical within the volume
October
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
1-21
UT code for WoS article
001490321500001
EID of the result in the Scopus database
2-s2.0-105004265884