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Nonlinear Analysis: Modelling and Control, 3(12), p. 399-408, 2007

DOI: 10.15388/na.2007.12.3.14702

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Mathematical Modelling of Nitric Oxide Release Caused by Exocytosis and Determination of a Stellate Neuron Activity Function in Rat Brain

Journal article published in 2007 by A. Oleinick, C. Amatore, I. Svir, Oleksiy V. Klymenko ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

In this work we report the results of the mathematical modelling of NO�-release by neurons considering a series of Gaussian bursts, togethe r with its transport in the brain by diffusion. Our analysis relies on the NO�-release from a neuron monitored before, during and after its patch-clamp stimulation as detected by an ultramicroelectrode introduced into a slice of living rat's brain. The par ameters of the neuron activity function have been obtained by numerical fitting of exp erimental data with simulated theoretical results. Within our initial hypothesis about the Ga ussian decomposition of NO�-release that allowed drawing qualitative and quantitative conclusions about the considered neuron activity function. It is noted th at since the activity function can be readily modified this signal processing may be ada pted to the treatment of other and maybe more physiologically relevant hypotheses.