Neural Comput - Design of charge-balanced time-optimal stimuli for spiking neuron oscillators.

Tópicos

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Resumo

In this letter, we investigate the fundamental limits on how the interspike time of a neuron oscillator can be perturbed by the application of a bounded external control input (a current stimulus) with zero net electric charge accumulation. We use phase models to study the dynamics of neurons and derive charge-balanced controls that achieve the minimum and maximum interspike times for a given bound on the control amplitude. Our derivation is valid for any arbitrary shape of the phase response curve and for any value of the given control amplitude bound. In addition, we characterize the change in the structures of the charge-balanced time-optimal controls with the allowable control amplitude. We demonstrate the applicability of the derived optimal control laws by applying them to mathematically ideal and experimentally observed neuron phase models, including the widely studied Hodgkin-Huxley phase model, and by verifying them with the corresponding original full state-space models. This work addresses a fundamental problem in the field of neural control and provides a theoretical investigation to the optimal control of oscillatory systems.

Resumo Limpo

letter investig fundament limit interspik time neuron oscil can perturb applic bound extern control input current stimulus zero net electr charg accumul use phase model studi dynam neuron deriv chargebalanc control achiev minimum maximum interspik time given bound control amplitud deriv valid arbitrari shape phase respons curv valu given control amplitud bound addit character chang structur chargebalanc timeoptim control allow control amplitud demonstr applic deriv optim control law appli mathemat ideal experiment observ neuron phase model includ wide studi hodgkinhuxley phase model verifi correspond origin full statespac model work address fundament problem field neural control provid theoret investig optim control oscillatori system

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