A Conformal Fractional Derivative-based Leaky Integrate-and-Fire Neuron Model

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dc.contributor.authorMutlu, Reşat
dc.contributor.authorDevecioğlu, İsmail
dc.date.accessioned2023-04-20T08:08:30Z
dc.date.available2023-04-20T08:08:30Z
dc.date.issued2022
dc.departmentFakülteler, Çorlu Mühendislik Fakültesi, Biyomedikal Mühendisliği Bölümü
dc.description.abstractNeuron model have been extensively studied and different models have been proposed. Nobel laureate Hodgkin-Huxley model is physiologically relevant and can demonstrate different neural behaviors, but it is mathematically complex. For this reason, simplified neuron models such as integrate-and-fire model and its derivatives are more popular in the literature to study neural populations. Lapicque’s integrate-and-fire model is proposed in 1907 and its leaky integrate-and-fire version is very popular due to its simplicity. In order to improve this simple model and capture different aspects of neurons, a variety of it have been proposed. Fractional order derivative-based neuron models are one of those varieties, which can show adaptation without necessitating additional differential equations. However, fractional-order derivatives could be computationally costly. Recently, a conformal fractional derivative (CFD) is suggested in literature. It is easy to understand and implement compared to the other methods. In this study, a CFD-based leaky integrate-and-fire neuron model is proposed. The model captures the adaptation in firing rate under sustained current injection. Results suggest that it could be used to easily and efficiently implement network models as well as to model different sensory afferents.
dc.identifier.doi10.16984/saufenbilder.1041088
dc.identifier.endpage578
dc.identifier.issn2147-835X
dc.identifier.issue3en_US
dc.identifier.startpage568
dc.identifier.trdizinid533334
dc.identifier.urihttps://doi.org/10.16984/saufenbilder.1041088
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/533334
dc.identifier.urihttps://hdl.handle.net/20.500.11776/11292
dc.identifier.volume26
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorDevecioğlu, İsmail
dc.language.isoen
dc.relation.ispartofSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectfractional order derivatives
dc.subjectneuron model
dc.subjectconformal fractional derivative
dc.subjectleaky integrate-and-fire
dc.titleA Conformal Fractional Derivative-based Leaky Integrate-and-Fire Neuron Model
dc.typeArticle

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