Simulation of PID control schemes for closed-loop deep brain stimulation

Recent studies have shown that specific motor symptoms of Parkinson's disease (PD) are correlated with oscillatory beta-band (12-30 Hz) activity in the basal ganglia. Deep brain stimulation (DBS) is an established therapy for PD, but is currently applied in an open-loop configuration. A computational model of the cortico-basal ganglia network was developed to systematically test the performance of five separate linear control schemes for closed-loop DBS. Each controller modulated the amplitude of DBS using the oscillatory activity in the basal ganglia as a biomarker. All controllers yielded a reduction in current and demonstrated a response to the suppression and resurgence of oscillations within the network. The model developed here can be further used to design and test more complex non-linear control schemes.

[1]  T. Otsuka,et al.  Conductance-based model of the voltage-dependent generation of a plateau potential in subthalamic neurons. , 2004, Journal of neurophysiology.

[2]  Closing the loop in neuromodulation: concurrent sensing and stimulation. , 2012, Neurosurgery.

[3]  Charles J. Wilson,et al.  Activity Patterns in a Model for the Subthalamopallidal Network of the Basal Ganglia , 2002, The Journal of Neuroscience.

[4]  B. Averbeck,et al.  Effects of Dopamine Depletion on Network Entropy in the External Globus Pallidus , 2009, Journal of neurophysiology.

[5]  P. Brown,et al.  Synchronisation in the beta frequency-band — The bad boy of parkinsonism or an innocent bystander? , 2009, Experimental Neurology.

[6]  Andrea A. Kühn,et al.  Amplitude modulation of oscillatory activity in the subthalamic nucleus during movement , 2008, The European journal of neuroscience.

[7]  Henry Markram,et al.  Minimal Hodgkin–Huxley type models for different classes of cortical and thalamic neurons , 2008, Biological Cybernetics.

[8]  Jack Cowan,et al.  Neural Control Engineering: The Emerging Intersection Between Control Theory and Neuroscience , 2012 .

[9]  M. Lowery,et al.  Simulation of Cortico-Basal Ganglia Oscillations and Their Suppression by Closed Loop Deep Brain Stimulation , 2013, IEEE Transactions on Neural Systems and Rehabilitation Engineering.

[10]  Terrence J. Sejnowski,et al.  An Efficient Method for Computing Synaptic Conductances Based on a Kinetic Model of Receptor Binding , 1994, Neural Computation.

[11]  Jonathan E. Rubin,et al.  High Frequency Stimulation of the Subthalamic Nucleus Eliminates Pathological Thalamic Rhythmicity in a Computational Model , 2004, Journal of Computational Neuroscience.

[12]  A. Parent,et al.  Functional anatomy of the basal ganglia. I. The cortico-basal ganglia-thalamo-cortical loop , 1995, Brain Research Reviews.

[13]  Michael L. Hines,et al.  Neuroinformatics Original Research Article Neuron and Python , 2022 .

[14]  A. Priori,et al.  Adaptive deep brain stimulation (aDBS) controlled by local field potential oscillations , 2013, Experimental Neurology.

[15]  Andrea A. Kühn,et al.  High-Frequency Stimulation of the Subthalamic Nucleus Suppresses Oscillatory β Activity in Patients with Parkinson's Disease in Parallel with Improvement in Motor Performance , 2008, The Journal of Neuroscience.

[16]  Terrence J. Sejnowski,et al.  Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism , 1994, Journal of Computational Neuroscience.

[17]  P. Brown,et al.  Annals of the New York Academy of Sciences What Brain Signals Are Suitable for Feedback Control of Deep Brain Stimulation in Parkinson's Disease? , 2022 .