On the Contraction of Excitable Systems
Provides theoretical insight into neural reliability for computational neuroscience, though incremental as it applies known contraction analysis to a specific model.
The study analyzes contraction in the Hodgkin-Huxley model and its effect on spike timing reliability, finding that contraction is maintained with sparse inputs but lost at high firing rates, with reliable spike timings in the contracting regime.
We study the contraction of Hodgkin-Huxley model and its role in the reliability of spike timings. Without input, the model is contractive in the region of physiological interest. With impulsive synaptic inputs, contraction is retained provided that the input events are sparse enough. Contraction is lost when the input firing rate is too high. Spike timings are shown to be reliable in the contracting regime.