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Erschienen in: Journal of Computational Neuroscience 3/2011

01.06.2011

A new 3D mass diffusion–reaction model in the neuromuscular junction

verfasst von: Abdul Khaliq, Frank Jenkins, Mark DeCoster, Weizhong Dai

Erschienen in: Journal of Computational Neuroscience | Ausgabe 3/2011

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Abstract

A three-dimensional model of the reaction-diffusion processes of a neurotransmitter and its ligand receptor in a disk shaped volume is proposed which represents the transmission process of acetylcholine in the synaptic cleft in the neuromuscular junction. The behavior of the reaction-diffusion system is described by a three-dimensional diffusion equation with nonlinear reaction terms due to the rate processes of acetylcholine with the receptor. A new stable and accurate numerical method is used to solve the equations with Neumann boundaries in cylindrical coordinates. The simulation analysis agrees with experimental measurements of end-plate current, and agrees well with the results of the conformational state of the acetylcholine receptor as a function of time and acetylcholine concentration of earlier investigations with a smaller error compared to experiments. Asymmetric emission of acetylcholine in the synaptic cleft and the subsequent effects on open receptor population is simulated. Sensitivity of the open receptor dynamics to the changes in the diffusion parameters and neuromuscular junction volume is investigated. The effects of anisotropic diffusion and non-symmetric emission of transmitter at the presynaptic membrane is simulated.

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Metadaten
Titel
A new 3D mass diffusion–reaction model in the neuromuscular junction
verfasst von
Abdul Khaliq
Frank Jenkins
Mark DeCoster
Weizhong Dai
Publikationsdatum
01.06.2011
Verlag
Springer US
Erschienen in
Journal of Computational Neuroscience / Ausgabe 3/2011
Print ISSN: 0929-5313
Elektronische ISSN: 1573-6873
DOI
https://doi.org/10.1007/s10827-010-0289-5

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