Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia
Abstract
This paper develops a new closed-loop firing rate regulation strategy for a population of neurons in the subthalamic nucleus, derived using a model-based analysis of the basal ganglia. The system is described using a firing rate model, in order to analyse the generation of beta-band oscillations. On this system, a proportional regulation of the firing rate reduces the gain of the subthalamo-pallidal loop in the parkinsonian case, thus impeding pathological oscillation generation. A filter with a well-chosen frequency is added to this proportional scheme, in order to avoid a potential instability of the feedback loop due to actuation and measurement delays. Our main result is a set of conditions on the parameters of the stimulation strategy that guarantee both its stability and a prescribed delay margin. A discussion on the applicability of the proposed method and a complete set of mathematical proofs is included.
References
Parkinsonian impairment correlates with spatially extensive subthalamic oscillatory synchronization.
Citations
Related Concepts
Related Feeds
Basal ganglia in Parkinson's disease (MDS)
The basal ganglia is comprised of the neostriatum, the external and internal pallidal segments, the subthalamic nucleus, the substantia nigra pars reticulata, and the pars compacta of the substantia nigra. The basal ganglia circuitry is responsible for the correct execution of voluntary movements and is implicated in Parkinson's disease. Here is the latest research investigating the basal ganglia in Parkinson's disease.
Basal Ganglia
Basal Ganglia are a group of subcortical nuclei in the brain associated with control of voluntary motor movements, procedural and habit learning, emotion, and cognition. Here is the latest research.