https://doi.org/10.1140/epjs/s11734-025-01656-2
Regular Article
Bifurcations underlying different firing patterns for lesions to subthalamic nucleus to eliminate Parkinson’s diseases
1
School of Mathematics and Science, Henan Institute of Science and Technology, 453003, Xinxiang, China
2
School of Management, University of Shanghai for Science and Technology, 200093, Shanghai, China
3
School of Aerospace Engineering and Applied Mechanics, Tongji University, 200092, Shanghai, China
Received:
18
February
2025
Accepted:
24
April
2025
Published online:
8
May
2025
Lesioning the subthalamic nucleus (STN) can alleviate Parkinson’s disease (PD) by modulating the firing activities in the globus pallidus pars externa and interna (GPe and GPi). However, the underlying dynamical mechanisms remain unclear, which is investigated in a theoretical model in this study. Before lesion, the bursting with irregularity appears in STN, GPe, and GPi, which can induce PD. After lesion to STN, GPe recovers to spiking, and GPi neuron exhibits three behaviors, resting state, spiking, and irregular firing for strong, weak, and middle conductance of inhibitory synapse from GPe to GPi, respectively. The former two behaviors correspond to two manners of normal state, i.e., elimination of PD, and the last one still to the PD. Furthermore, with a fold bifurcation of limit cycles (LPC) of GPi neuron, the bursting before lesion, irregular firing, resting state, and spiking after lesion are well-explained. Modulated by synaptic currents to GPi, the bursting and irregular firing run across the LPC bifurcation point slowly and fast, respectively, whereas the resting state and tonic spiking not. These results provide conditions, bifurcation mechanisms, and synaptic modulations for etiology of PD and effective treatment to PD.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
