Cycle multistability and synchronization mechanisms in coupled interneurons: In-phase and anti-phase dynamics under current stimuli

Jan Ševčík and Lenka Přibylová

Applied Mathematics and Computation, 2025, vol. 503, issue C

Abstract: 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.

Keywords: Very high-frequency oscillations; Neuronal network model; Synchronization; Phase-shift synchronization; Bifurcation analysis; Interneurons (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300325002267
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:503:y:2025:i:c:s0096300325002267

DOI: 10.1016/j.amc.2025.129500

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().