These HH models are implementations directly resulting from exercises undertaken from MIT OCW 6.094: Introduction to MATLAB, which I worked through in my own time some years ago now.
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A basic MATLAB implementation of the Hodgkin-Huxley model of the Neuronal Firing based on transmembranes potentials and saturation at four varieties of synaptic gates: https://en.wikipedia.org/wiki/Hodgkin%E2%80%93Huxley_model