17Currently employed strategies for therapeutic brain stimulation take a static approach to determining 18 stimulation parameters. However, it is well understood that brain states fluctuate over time, depending 19 for instance upon differing behavioural or disease states. Here, we characterize the impact of changes 20 in connectivity upon the emergence of rhythmic neural activity in the circuits formed by the cortex, 21 basal-ganglia, and thalamus. Importantly, we show how the efficacy of interaction with these rhythms 22 via phase-specific stimulation is highly dependent upon the current network state. We take a 23 computational approach to do this, modelling the population activity of the cortico-basal ganglia-24 thalamic circuit and fitting model parameters to match the spectral features of empirical data obtained 25 from a 6-OHDA lesioned rat model of Parkinson's disease. Using this fitted model, we then dissect 26 the role of the circuit's multiple loops in the maintenance of subcortical beta rhythms and their 27 synchronization. We show that a competition of cortical and striato-pallidal inputs to the subthalamic 28 nucleus , a main input hub of the basal-ganglia, determines the frequency, amplitude, and timing of 29 West et al. (2020): State Dependency of Cortical-Basal Ganglia Beta bioRxiv_v1 20/03/2020 bioRxiv_20032020 2beta band (14-30 Hz) activity. In addition, we demonstrate how the efficacy of cortical inputs in 1 modulating ongoing subthalamic beta activity is dependent upon their relative phase alignment-with 2 their precise effects in turn determined by the connectivity state of the network. These results inform 3 our understanding of: (a) how alterations in circuit connectivity can lead to the emergence of 4 pathologically amplified rhythms; (b) how precisely timed phasic stimulation can be leveraged to 5 modulate aberrant brain activity; and (c) how effective stimulation parameters depend on the 6 "connectivity state" of the circuit; highlighting the importance of incorporating an estimation of brain 7 state in the determination of optimum stimulation parameters. 8
Keywords 9Parkinson's disease, basal ganglia, phase-locked stimulation, closed-loop brain stimulation 10