The conditions for onset of beta oscillations in an extended subthalamic nucleus-globus pallidus network

The persistence of beta oscillations generated in the basal ganglia is typical pathological characteristic of Parkin-son's disease. In this paper, we construct a new network model, which is mainly composed of the subthalamic nu-cleus and the globus pallidus. Based on theory analysis, we obtained the beta shock conditions in the proposed model. It is shown that numerical simulations are in good agreement with analytical results. At last, the effects of cortex and striatum inputs on the generation of oscillations are also discussed. We hope that the obtained results may find applications to treatment of Parkinson's disease and study of neural oscillations produced in other parts of the brain neural network.