Sinirbilimde Fitzhugh-Nagumo Modelinin Hiperbolik Tip Çözümlerinin İncelenmesi

Year 2023, Volume: 1 Issue: 1, 11 - 16, 30.06.2023

Hülya Durur , Aleyna Aydın , Reyhan Arslantürk

https://doi.org/10.5281/zenodo.8074822

Abstract

Bu makale sinirbilimde önemli bir yere sahip olan Fitzhugh – Nagumo (FN) modelinin analitik çözümlerini elde etmeyi amaçlamaktadır. Çözümleri elde etmek için 1/G'- açılım yöntemi kullanılır. Lineer olmayan kısmi diferansiyel denklemlerin (NLPDE) çözümünde etkili ve verimli bir yöntem olan 1/G'-açılım yöntemi kullanılarak hiperbolik tip ilerleyen dalga çözümleri üretilmektetir. Daha sonra bir bilgisayar programı kullanılarak 3boyutlu, 2boyutlu ve kontur grafikleri sunulur.

Keywords

Fitzhugh – Nagumo modeli, hiperbolik tip çözüm, 1/G'-açılım yöntemi.

Supporting Institution

Yok

Investigation of Hyperbolic Type Solutions of the Fitzhugh-Nagumo Model in Neuroscience

Abstract

This article aims to obtain analytical solutions of the Fitzhugh – Nagumo (FN) model, which has an important place in neuroscience. The 1/G' - expansion method is used to obtain the solutions. Hyperbolic type travelling wave solutions are produced by using the 1/G'- expansion method, which is an effective and efficient method in solving nonlinear partial differential equations (NLPDEs). Then 3D, 2D and contour graphs are presented using a computer program.

Keywords

Fitzhugh – Nagumo model, hyperbolic type solution, 1/G'-expansion method.

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