Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 536, Issue -, Pages -Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2021.110979
Keywords
Parkinson's oscillation; Hopf bifurcation; Coupling weight; Delay
Categories
Funding
- National Science Foundation of China [11602092]
- Natural Science Foundation of Hubei Province [2018CFB628]
- China Postdoctoral Science Founda-tion [2018M632184]
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In this paper, the oscillation mechanism in a computational model of Parkinson's disease was studied using bifurcation analysis and numerical simulation. The findings showed that abnormal coupling weights and delays can induce oscillatory activities. The study identified bidirectional Hopf bifurcations that can explain the oscillation mechanism in the model. Furthermore, it was observed that the effect of delay in inhibitory pathways is greater than that in excitatory pathways.
In this paper, we study the parkinson oscillation mechanism in a computational model by bifurcation analysis and numerical simulation. Oscillatory activities can be induced by abnormal coupling weights and delays. The bidirectional Hopf bifurcation phenomena are found in simulations, which can uniformly explain the oscillation mechanism in this model. The Hopf1 represents the transition between the low firing rate stable state (SS) and oscillation state (OS), the Hopf2 represents the transition between the high firing rate stable state (HSS) and the OS, the mechanisms of them are different. The Hopf1 and Hopf2 bifurcations both show that when the state transfers from the stable region to the oscillation region, oscillatory activities originate from the beta frequency band or the gamma frequency band. We find that the changing trends of the frequency (DF) and oscillation amplitude (OSAM) are contrary in many cases. The effect of the delay in inhibitory pathways is greater than that of in excitatory pathways, and appropriate delays improve the discharge activation level (DAL) of the system. In all, we infer that oscillations can be induced by the follow factors: 1. Improvement of the DAL of the globus pallidus externa (GPe); 2. Reduce the DAL of the GPe from the HSS or the discharge saturation state; 3. The GPe can also resonate with the subthalamic nucleus (STN).(c) 2021 Elsevier Ltd. All rights reserved.
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