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Computer simulation of reverberating spreading depression in a network of cell automata

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Abstract

A homogeneous network of cellular automata, representing a two-dimensional model of neural tissue, was used for simulation of periodic processes generated by spreading cortical depression. The transitional function μ and the function of the output γ of each cellular automationA at the timet is explicitly determined by its state and the input signals from 4 adjacent cells at timet-1. Computer experiments (IBM 370-135) in networks consisting of 1000 or 7200 cells illustrated the development of periodic generators due to 1) reverberation around obstacles with the perimeter exceeding the wavelength of the process: 2) reverberation in intact tissue (with zero perimeter of the obstacle); 3) formation of a stable focus of periodic activity (deterministic-stochastic oscillator). Results of computer experiments are compared with electrophysiological observations.

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Reshodko, L.V., Bureš, J. Computer simulation of reverberating spreading depression in a network of cell automata. Biol. Cybernetics 18, 181–189 (1975). https://doi.org/10.1007/BF00326688

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