A Nearly Exact Discretization Scheme for the FitzHugh–Nagumo Model

In this paper, we apply the nearly exact discretization schemes to propose a discrete model for the FitzHugh–Nagumo model. We show that the discrete model obtained preserves the dynamics and the known features of the continuous FitzHugh–Nagumo model. We do so by performing distance-based and probabi...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 32; no. 1; pp. 253 - 275
Main Authors Kwessi, Eddy, Edwards, Lloyd J.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.01.2024
Springer Nature B.V
Subjects
Computer Science
Discrete systems
Discretization
Engineering
Mathematics
Mathematics and Statistics
Original Research
Parameter sensitivity
Sensitivity analysis
Non-standard
Neurones
62J05
62G08
Discrete model
62G86
FitzHugh–Nagumo
62F12
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ISSN0971-3514
0974-6870
DOI10.1007/s12591-021-00569-5

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Summary:In this paper, we apply the nearly exact discretization schemes to propose a discrete model for the FitzHugh–Nagumo model. We show that the discrete model obtained preserves the dynamics and the known features of the continuous FitzHugh–Nagumo model. We do so by performing distance-based and probability-based similarity analysis. Additionally, a sensitivity analysis is also performed to analyze the most influential parameters of the discrete system.
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ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-021-00569-5