@article{Hu2026, 
author = {Bing Hu and Pinyi Ye and Yuting Zhang and Te Nan and Xiaoye Shi},
title = {Multimodal bifurcation control of parkinsonian beta oscillations by pedunculopontine nucleus pathways: A unified computational framework revealing dynamic therapeutic targets},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {2},
pages = {1173-1194},
keywords = {pedunculopontine nucleus, cortical-thalamic-basal ganglia circuit, Parkinson's beta oscillation, Hopf bifurcation},
url = {https://www.sciopen.com/article/10.3934/era.2026054},
doi = {10.3934/era.2026054},
abstract = {This study introduces a novel cortico-thalamo-basal ganglia-pedunculopontine nucleus (PPN) (CTBGP) computational framework to investigate how PPN-related pathways control beta oscillations. We observe that PPN-thalamic pathways exert bidirectional Hopf bifurcation control over thalamic beta oscillations, with coupling strength adjustments shifting stable/oscillatory state boundaries; PPN-cortical projection stabilizes cortical beta oscillations through supercritical/subcritical Hopf transitions dependent on coupling strength; PPN-GPi projection modulates cortico-thalamic beta oscillations via interactions with GABAergic GPi-thalamic pathways, enabling coexistence of supercritical/subcritical bifurcations; PPN-STN projection strongly suppress basal ganglia beta oscillations by elevating STN-GPe network activity to saturated states. Notably, three direct PPN inputs (EPN-PPN, STN-PPN, GPi-PPN) collectively regulate beta oscillations through the PPN-STN-GPe axis. This work provides the computational evidence that PPN pathways dynamically control beta oscillations across CTBG subcircuits via bifurcation mechanisms. The identified PPN-STN-GPe axis and thalamic/cortical projections offer novel targets for DBS and pharmacological interventions.}
}