Abstract

Subthreshold dynamics and its effect on signal transduction in a neural system are studied by using the Hindmarsh-Rose neuron model. Under a periodic stimulation, as the constant bias of the stimulus increases, the neuron exhibits subthreshold periodic and subthreshold chaotic responses, suprathreshold chaotic firing of spikes, and mode-locked firing. The phase diagram of the system is obtained. The dynamic behavior obtained is in agreement with experiments on the squid giant axon. In particular, the subthreshold periodic oscillatory state is related to a number of experimental results, such as those found in the neurons of the inferior olivary nucleus. More importantly, we also find that subthreshold chaotic responses play a role analogous to the internal deterministic noise, and can enhance weak signal transduction via a mechanism similar to stochastic resonance.

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