Spectral Element Simulation of Reaction-Diffusion System in the Neuromuscular Junction

Cellular Automata Simulation of a Bistable Reaction-Diffusion System: Microscopic and Macroscopic Approaches

The Cellular Automata method has been used to simulate the pattern formation of the Schlögl model as a bistable Reaction-Diffusion System. Both microscopic and macroscopic Cellular Automata approaches have been considered and two different methods for obtaining the probabilities in the microscopic approach have been mentioned. The results show the tendency of the system towards the more sta...

Continuum simulations of acetylcholine diffusion with reaction-determined boundaries in neuromuscular junction models.

The reaction-diffusion system of the neuromuscular junction has been modeled in 3D using the finite element package FEtk. The numerical solution of the dynamics of acetylcholine with the detailed reaction processes of acetylcholinesterases and nicotinic acetylcholine receptors has been discussed with the reaction-determined boundary conditions. The simulation results describe the detailed acety...

Tortuosity and anomalous diffusion in the neuromuscular junction.

The signal transfer from nerve to muscle occurs by diffusion across the neuromuscular junction. The continuum level analysis of diffusion processes is based on the diffusion equation, which in one dimension is partial differential c/partial differential t=D(partial differential(2)c/partial differential x(2)) , where c is the molecular concentration and D is the diffusivity. However, in confined...

Finite element simulations of acetylcholine diffusion in neuromuscular junctions.

A robust infrastructure for solving time-dependent diffusion using the finite element package FEtk has been developed to simulate synaptic transmission in a neuromuscular junction with realistic postsynaptic folds. Simplified rectilinear synapse models serve as benchmarks in initial numerical studies of how variations in geometry and kinetics relate to endplate currents associated with fast-twi...

Spectral Element Simulations of Laminar Diffusion