Stochastic Phase Resetting: A Theory for Deep Brain Stimulation

The basic principles of a stochastic approach to phase resetting in populations of interacting phase oscillators are presented in this article. This theory explains how synchronization and desynchronization processes are caused by a pulsatile stimulus. It is a central goal of this approach to establish a theoretical basis for the design of efficient and intelligent new deep brain stimulation techniques. Accordingly, the theory is used to design a new deep brain stimulation technique with feedback control in patients suffering from Parkinson's disease or essential tremor.