Afifurrahman, Afifurrahman (2023) Model for coupling scheme and its impact on neurons behaviour. Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi, 11 (1). pp. 89-97. ISSN 2776-3706

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Abstract

ENGLISH Collective oscillations is typical phenomena observed in the systems biology including neurons. Investigating the mechanisms for which it occurs in neural networks evokes a significant interest among neuroscientists. From mathematical point of view, the coupling schemes rule the neuron’s behaviours ranging from microscopic to macroscopic scales. This paper aims to study the impacts of coupling scheme in a minimal network of two fully coupled identical oscillators (e.g., neurons). We proceed the research by employing the numerical approach and time-series analysis. We consider both Kuramoto-like oscillator and Leaky integrate-and-fire neuron as the objects of study. In the former case, we found the phase of two oscillators are perfectly locked and stable if their frequency are identical as stated by the main theorem. In the latter case, the membrane potentials of two neurons are perfectly synchronized, characterized by the same firing rate, due to the effect of excitatory delta pulses.

Item Type:	Article
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Divisions:	Fakultas Tarbiyah dan Keguruan > Jurusan Tadris Matematika
Depositing User:	Dr Afifurrahman Afifurrahman
Date Deposited:	13 Jun 2023 04:53
Last Modified:	14 Jun 2023 01:44
URI:	http://repository.uinmataram.ac.id/id/eprint/3175

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