Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton

In order to examine nerve impulses by means of simulation methodology, the models of all parts of nervous system, well suited for numerical modeling, are needed. In this paper the problem of setting up such a model, namely, that of a presynaptic bouton, is addressed. Simulation of the neurotransmitt...

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Main Author: Maciej Gierdziewicz
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/6/2811
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author Maciej Gierdziewicz
author_facet Maciej Gierdziewicz
author_sort Maciej Gierdziewicz
collection DOAJ
description In order to examine nerve impulses by means of simulation methodology, the models of all parts of nervous system, well suited for numerical modeling, are needed. In this paper the problem of setting up such a model, namely, that of a presynaptic bouton, is addressed. Simulation of the neurotransmitter flow inside the presynaptic bouton is performed. The transport is modeled with a partial differential equation with an additional nonlinear term. Two ways of modeling the bouton are applied. One of them let reflect a complex shape of the bouton and of some inner organelles. The influence of the generated mesh quality on the accuracy of numerical simulations is studied by comparing the released amount of neurotransmitter. The only mesh that produced diminished output was the worst one. The conclusion is that even slightly optimized tetrahedral mesh is suitable for calculations.
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spelling doaj.art-f6e38760e07648379601015cbd4ec9472023-11-21T11:29:03ZengMDPI AGApplied Sciences2076-34172021-03-01116281110.3390/app11062811Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic BoutonMaciej Gierdziewicz0Faculty of Automation, Electrical Engineering, Computer Science and Biomedical Engineering, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, PolandIn order to examine nerve impulses by means of simulation methodology, the models of all parts of nervous system, well suited for numerical modeling, are needed. In this paper the problem of setting up such a model, namely, that of a presynaptic bouton, is addressed. Simulation of the neurotransmitter flow inside the presynaptic bouton is performed. The transport is modeled with a partial differential equation with an additional nonlinear term. Two ways of modeling the bouton are applied. One of them let reflect a complex shape of the bouton and of some inner organelles. The influence of the generated mesh quality on the accuracy of numerical simulations is studied by comparing the released amount of neurotransmitter. The only mesh that produced diminished output was the worst one. The conclusion is that even slightly optimized tetrahedral mesh is suitable for calculations.https://www.mdpi.com/2076-3417/11/6/2811presynaptic boutondifferential diffusive modelnumerical three-dimensional simulationsfinite elements methodthree-dimensional mesh generationmesh quality measures
spellingShingle Maciej Gierdziewicz
Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton
Applied Sciences
presynaptic bouton
differential diffusive model
numerical three-dimensional simulations
finite elements method
three-dimensional mesh generation
mesh quality measures
title Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton
title_full Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton
title_fullStr Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton
title_full_unstemmed Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton
title_short Relations between Geometric Parameters and Numerical Simulation Accuracy in Modeling Signal Transmission in the Presynaptic Bouton
title_sort relations between geometric parameters and numerical simulation accuracy in modeling signal transmission in the presynaptic bouton
topic presynaptic bouton
differential diffusive model
numerical three-dimensional simulations
finite elements method
three-dimensional mesh generation
mesh quality measures
url https://www.mdpi.com/2076-3417/11/6/2811
work_keys_str_mv AT maciejgierdziewicz relationsbetweengeometricparametersandnumericalsimulationaccuracyinmodelingsignaltransmissioninthepresynapticbouton