A practical synthesis and analysis of the fractional-order FitzHugh-Nagumo neuronal model

SAÇU İ. E.

Journal of Computational Electronics, vol.23, no.1, pp.188-207, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.1007/s10825-023-02120-x
  • Journal Name: Journal of Computational Electronics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC
  • Page Numbers: pp.188-207
  • Keywords: Fractional-order derivative, Laplace Adomian decomposition method, FitzHugh-Nagumo neuron model (FHN), Adomian decomposition method, Digital signal processor (DSP)
  • Erciyes University Affiliated: Yes

Abstract

This work focuses on the practical and reasonable synthesis of the fractional-order FitzHugh-Nagumo (FHN) neuronal model. First of all, the descriptive equations of the fractional FHN neuronal system have been given, and then the system stability has been analyzed according to these equations. Secondly, the Laplace-Adomian-decomposition-method is introduced for the numerical solution of the fractional-order FHN neuron model. By means of this method, rapid convergence can be achieved as well as advantages in terms of low hardware cost and uncomplicated computation. In numerical analysis, different situations have been evaluated in detail, depending on the values of fractional-order parameter and external stimulation. Third, the coupling status of fractional-order FHN neuron models is discussed. Finally, experimental validation of the numerical results obtained for the fractional-order single and coupled FHN neurons has been performed by means of the digital signal processor control card F28335 Delfino. Thus, the efficiency of the introduced method for synthesizing the fractional FHN neuronal model in a fast, low cost and simple way has been demonstrated.