Title
Phase model-based neuron stabilization into arbitrary clusters.
Abstract
Deep brain stimulation (DBS) is a common method of combating pathological conditions associated with Parkinson’s disease, Tourette syndrome, essential tremor, and other disorders, but whose mechanisms are not fully understood. One hypothesis, supported experimentally, is that some symptoms of these disorders are associated with pathological synchronization of neurons in the basal ganglia and thalamus. For this reason, there has been interest in recent years in finding efficient ways to desynchronize neurons that are both fast-acting and low-power. Recent results on coordinated reset and periodically forced oscillators suggest that forming distinct clusters of neurons may prove to be more effective than achieving complete desynchronization, in particular by promoting plasticity effects that might persist after stimulation is turned off. Current proposed methods for achieving clustering frequently require either multiple input sources or precomputing the control signal. We propose here a control strategy for clustering, based on an analysis of the reduced phase model for a set of identical neurons, that allows for real-time, single-input control of a population of neurons with low-amplitude, low total energy signals. After demonstrating its effectiveness on phase models, we apply it to full state models to demonstrate its validity. We also discuss the effects of coupling on the efficacy of the strategy proposed and demonstrate that the clustering can still be accomplished in the presence of weak to moderate electrotonic coupling.
Year
DOI
Venue
2018
https://doi.org/10.1007/s10827-018-0683-y
Journal of Computational Neuroscience
Keywords
Field
DocType
Clustering,Coupling,Neural oscillators,Parkinson’s,Phase models
Deep brain stimulation,Population,Neuroscience,Synchronization,Essential tremor,Control theory,Tourette syndrome,Neuron,Cluster analysis,Mathematics,Basal ganglia
Journal
Volume
Issue
ISSN
44
3
0929-5313
Citations 
PageRank 
References 
1
0.35
11
Authors
2
Name
Order
Citations
PageRank
Timothy Matchen131.07
Jeff Moehlis227634.17