Dynamical properties of the reaction-diffusion type model of fast synaptic transport
type: Item
instance of: scholarly article
title: Dynamical properties of the reaction-diffusion type model of fast synaptic transport
zbMATH Open document ID: 1252.35058
author: Andrzej Bielecki
author: Piotr Kalita
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-07-04T00:00:00Z
review text: The modulation of a signal that is transmitted in the nerve system takes place in chemical synapses. This article focuses on the phenomena occuring in the presynaptic part of the synapse. A diffusion-reaction type model based on the partial differential equation is proposed. The averaging procedure of the PDE model is performed fully correctly from the formal point of view. The obtained ODE model is then referred to the Aristizabal-Glavinovic model and both models are analyzed in the context of their dynamical aspects -- controllability, observability and stability. The biological implications are also discussed.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 6052857
zbMATH Keywords: dynamical system with control
zbMATH Keywords: averaging
zbMATH Keywords: modulation of a signal
zbMATH Keywords: Aristizabal-Glavinovic model
Wikidata QID: Q123956587
reviewed by: Vyacheslav I. Maksimov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.04.012
OpenAlex ID: W2074301502
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DOI: 10.1016/J.JMAA.2012.04.012
description: scientific article; zbMATH DE number 6052857