https://doi.org/10.1140/epjp/s13360-023-04456-6
Regular Article
Suppression effects of delayed feedback schemes on pathological oscillations in the pedunculopontine nucleus: basal ganglia neural mass model
School of Mathematics and Physics, Shanghai University of Electric Power, 201306, Shanghai, China
Received:
24
May
2023
Accepted:
8
September
2023
Published online:
22
September
2023
Abnormal activities of the cortex–thalamus and basal ganglia can give rise to Parkinson’s disease (PD). Inhibition of excessive synchronous beta (β) oscillations in neuronal populations is deemed to be an effective way to alleviate Parkinson’s state. However, stimulation of the pedunculopontine nucleus (PPN), which is of great importance as well, is ignored in the modulation of PD. In addition, although the delayed feedback control schemes can effectively interfere with and suppress pathological oscillations, it is still difficult to select effective parameters in the simulation algorithm. Therefore, we proposed a new neural mass model for the PPN–Basal ganglia (BG) closed-loop system, which allows us to explore the inhibitory impacts of the delayed feedback strategies on excessive β oscillations under four different stimulation schemes. The simulation results revealed that the delayed feedback strategies, based on the four types of stimulus signals, are all effective in optimizing the stimulus waveforms and reducing energy consumption in the PPN–BG neural mass models. Furthermore, the oscillation suppression space was enlarged, and control performance was improved. This study may provide new therapeutic ideas for optimizing deep brain stimulation in the closed-loop systems and alleviating the symptoms of hypermobility in Parkinson’s disease.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
