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Title of Journal: J Comput Neurosci

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Abbravation: Journal of Computational Neuroscience

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Springer US

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DOI

10.1002/gps.2101

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1573-6873

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A new 3D mass diffusion–reaction model in the neur

Authors: Abdul Khaliq Frank Jenkins Mark DeCoster Weizhong Dai
Publish Date: 2010/11/10
Volume: 30, Issue: 3, Pages: 729-745
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Abstract

A threedimensional model of the reactiondiffusion 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 reactiondiffusion system is described by a threedimensional 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 endplate 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 nonsymmetric emission of transmitter at the presynaptic membrane is simulated

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