Design of Deterministic Model of Signal Transduction between Neuronal Cells

Design of Deterministic Model of Signal Transduction between Neuronal Cells

Mathematical model describing signal transduction between neurons has been presented using the system of nonlinear ordinary differential equations. The Cauchy problem for the given system has been solved numerically and system parameters were adjusted to match the results of experimental measuremen...

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Bibliographic Details
Main Authors: Maryna A. Hliatsevich, Pavel M. Bulai, Taras N. Pitlik, Andrey A. Denisov, Sergey N. Cherenkevich
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-02-01
Series:Mathematical Modelling and Analysis
Subjects:
deterministic model
synaptic transmission
simulation
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/985
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spelling doaj-45d270d3dd404a2cad540ffdab4412a92021-07-02T12:06:13ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102015-02-0120110.3846/13926292.2015.1002823Design of Deterministic Model of Signal Transduction between Neuronal CellsMaryna A. Hliatsevich0Pavel M. Bulai1Taras N. Pitlik2Andrey A. Denisov3Sergey N. Cherenkevich4Belarusian State University, Physics Faculty, 4 Nezavisimosti av, Minsk, Republic of BelarusBelarusian State University, Physics Faculty, 4 Nezavisimosti av, Minsk, Republic of BelarusBelarusian State University, Physics Faculty, 4 Nezavisimosti av, Minsk, Republic of BelarusBelarusian State University, Physics Faculty, 4 Nezavisimosti av, Minsk, Republic of BelarusBelarusian State University, Physics Faculty, 4 Nezavisimosti av, Minsk, Republic of Belarus Mathematical model describing signal transduction between neurons has been presented using the system of nonlinear ordinary differential equations. The Cauchy problem for the given system has been solved numerically and system parameters were adjusted to match the results of experimental measurements of extracellular postsynaptic potentials in rat hippocampus slices. While fitting model to the experimental data some values of synaptic parameters have been determined. https://journals.vgtu.lt/index.php/MMA/article/view/985deterministic modelsynaptic transmissionsimulation
collection DOAJ
language English
format Article
sources DOAJ
author Maryna A. Hliatsevich
Pavel M. Bulai
Taras N. Pitlik
Andrey A. Denisov
Sergey N. Cherenkevich
spellingShingle Maryna A. Hliatsevich
Pavel M. Bulai
Taras N. Pitlik
Andrey A. Denisov
Sergey N. Cherenkevich
Design of Deterministic Model of Signal Transduction between Neuronal Cells
Mathematical Modelling and Analysis
deterministic model
synaptic transmission
simulation
author_facet Maryna A. Hliatsevich
Pavel M. Bulai
Taras N. Pitlik
Andrey A. Denisov
Sergey N. Cherenkevich
author_sort Maryna A. Hliatsevich
title Design of Deterministic Model of Signal Transduction between Neuronal Cells
title_short Design of Deterministic Model of Signal Transduction between Neuronal Cells
title_full Design of Deterministic Model of Signal Transduction between Neuronal Cells
title_fullStr Design of Deterministic Model of Signal Transduction between Neuronal Cells
title_full_unstemmed Design of Deterministic Model of Signal Transduction between Neuronal Cells
title_sort design of deterministic model of signal transduction between neuronal cells
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2015-02-01
description Mathematical model describing signal transduction between neurons has been presented using the system of nonlinear ordinary differential equations. The Cauchy problem for the given system has been solved numerically and system parameters were adjusted to match the results of experimental measurements of extracellular postsynaptic potentials in rat hippocampus slices. While fitting model to the experimental data some values of synaptic parameters have been determined.
topic deterministic model
synaptic transmission
simulation
url https://journals.vgtu.lt/index.php/MMA/article/view/985
work_keys_str_mv AT marynaahliatsevich designofdeterministicmodelofsignaltransductionbetweenneuronalcells
AT pavelmbulai designofdeterministicmodelofsignaltransductionbetweenneuronalcells
AT tarasnpitlik designofdeterministicmodelofsignaltransductionbetweenneuronalcells
AT andreyadenisov designofdeterministicmodelofsignaltransductionbetweenneuronalcells
AT sergeyncherenkevich designofdeterministicmodelofsignaltransductionbetweenneuronalcells
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