Some Fractional Stochastic Models for Neuronal Activity with Different Time-Scales and Correlated Inputs

Autor:	Enrica Pirozzi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	fractional stochastic differential equations neuronal models correlation Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 1, p 57 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8010057
Popis:	In order to describe neuronal dynamics on different time-scales, we propose a stochastic model based on two coupled fractional stochastic differential equations, with different fractional orders. For the specified choice of involved functions and parameters, we provide three specific models, with/without leakage, with fractional/non-fractional correlated inputs. We give explicit expressions of the process representing the voltage variation in the neuronal membrane. Expectation values and covariances are given and compared. Numerical evaluations of the average behaviors of involved processes are presented and discussed.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c549f787a6b54e8faabbe3ff9de5888c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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