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THE IMPACT OF HIGH-FREQUENCY-BASED STABILITY ON THE ONSET OF ACTION POTENTIALS IN NEURON MODELS.

Authors :
CERPA, EDUARDO
CORRALES, NATHALY
COURDURIER, MATÍAS
MEDINA, LEONEL E.
PADURO, ESTEBAN
Source :
SIAM Journal on Applied Mathematics. 2024, Vol. 84 Issue 5, p1910-1936. 27p.
Publication Year :
2024

Abstract

This paper studies the phenomenon of conduction block in model neurons using high-frequency biphasic stimulation (HFBS). The focus is investigating the triggering of undesired onset action potentials when the HFBS is turned on. The approach analyzes the transient behavior of an averaged system corresponding to the FitzHugh--Nagumo neuron model using Lyapunov and quasi-static methods. The first result provides a more comprehensive understanding of the onset activation through a mathematical proof of how to avoid it using a ramp in the amplitude of the oscillatory source. The second result tests the response of the blocked system to a piecewise linear stimulus, providing a quantitative description of how the HFBS strength translates into conduction block robustness. The results of this work can provide insights for the design of electrical neurostimulation therapies. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00361399
Volume :
84
Issue :
5
Database :
Academic Search Index
Journal :
SIAM Journal on Applied Mathematics
Publication Type :
Academic Journal
Accession number :
180915421
Full Text :
https://doi.org/10.1137/24M1645632