Annihilation of single cell neural oscillations by feedforward and feedback control

Annihilation of neural oscillation by localized electrical stimulation has been shown to be a promising treatment modality in a number of neural diseases like Parkinson disease or epilepsy. The contributions presented in this manuscript comprise newly developed stimulation schemes to achieve annihilation of action potential generation and action potential propagation. The ability to achieve oscillation annihilation is demonstrated in computer simulations with a single compartment nerve cell model (annihilation of action potential generation), and with a multi-compartment nerve fiber model (annihilation of action potential propagation). Additionally, we show superiority of the new feedback based schemes over the feedforward schemes in terms of effectiveness, phase robustness, and reduced sensitivity to disturbances. At the end we propose a conditioned switched feedback control regime to be applied in actual applications, where oscillation annihilation is needed.