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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MDPI AG
2021-03-01
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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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id | doaj.art-f6e38760e07648379601015cbd4ec947 |
institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-03-10T13:01:29Z |
publishDate | 2021-03-01 |
publisher | MDPI AG |
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series | Applied Sciences |
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 |