Afifurrahman, Afifurrahman (2023) The interplay of common noise and finite pulses on biological neurons. Communication in Biomathematical Sciences, 6 (2). pp. 145-155. ISSN 2549-2896

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Abstract

ENGLISH The response of neurons is highly sensitive to the stimulus. The stimulus can be associated with a directinjection in vitro experimentation (e.g., time dependent and independent inputs); or post-synaptic potentialsresulting from the interaction of many neurons. A typical incoming stimulus resembles a noise which inprinciple can be described as a random variable. In computational neuroscience, the noise has been extensivelystudied for different setups. In this study, we investigate the effect of noisy inputs in a minimal network oftwo identical leaky integrate-and-fire (LIF) neurons interacting with finite pulses. In particular, we consider aGaussian white noise as a standard function for stochastic modelling of neurons, while taking into accountthe pulse width as an elementary component for the signal transmission. By exploring the role of noise andfinite pulses, the two neurons show a synchronous spiking behaviour characterized by fluctuations in the interspikeintervals. Above some critical values the synchronous regime collapses onto asynchronous dynamics.The abrupt change in such dynamics is accompanied by a hysteresis, i.e., the coexistence of synchronous andasynchronous firing behaviour.

Item Type:	Article
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications 01 MATHEMATICAL SCIENCES > 0104 Statistics > 010406 Stochastic Analysis and Modelling
Divisions:	Fakultas Tarbiyah dan Keguruan > Jurusan Tadris Matematika
Depositing User:	Dr Afifurrahman Afifurrahman
Date Deposited:	16 Feb 2024 02:48
Last Modified:	16 Feb 2024 02:48
URI:	http://repository.uinmataram.ac.id/id/eprint/3591

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