2023
DOI: 10.1016/j.cnsns.2023.107142
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The possible mechanism of direct feedback projections from basal ganglia to cortex in beta oscillations of Parkinson’s disease: A theoretical evidence in the competing resonance model

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Cited by 6 publications
(4 citation statements)
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“…where N(t), I(t), and αS(t) represent the density of healthy neurons in the brain, the density of infected neurons in the brain, and the density of extracellular α-syn in the brain, respectively, M(t) represents the density of activated microglia, and T(t) presents the density of the activated T cell; a 1 , a 2 , ε 1 , ε 2 , ε inhibitory projection from the subthalamic nucleus (STN), a cortex excitatory nucleus (EXN), and globus pallidus external (GPe). A simplified INN-EXN-STN-GPe resonance mathematical model is the following [2]:…”
Section: Introductionmentioning
confidence: 99%
“…where N(t), I(t), and αS(t) represent the density of healthy neurons in the brain, the density of infected neurons in the brain, and the density of extracellular α-syn in the brain, respectively, M(t) represents the density of activated microglia, and T(t) presents the density of the activated T cell; a 1 , a 2 , ε 1 , ε 2 , ε inhibitory projection from the subthalamic nucleus (STN), a cortex excitatory nucleus (EXN), and globus pallidus external (GPe). A simplified INN-EXN-STN-GPe resonance mathematical model is the following [2]:…”
Section: Introductionmentioning
confidence: 99%
“…Numerous studies have observed increased beta-band oscillations and beta power in the STN region in patients with PD [ 23 ]. Experimental research has revealed that the interplay between cortical and basal ganglia (BG) structures, including the pallidum and subthalamic nucleus (STN), can induce beta rhythm oscillations throughout the cortico-basal ganglia system.…”
Section: Introductionmentioning
confidence: 99%
“…The authors studied the absolutely stable, conditional stable, conditional oscillation, and absolutely oscillation for model (2), which can explain different mechanisms of oscillation origin. Wang et al systematically studied Parkinson's oscillation origin mechanism, oscillation amplitude and frequency characteristics in an improved cortex-basal ganglia (EXN-INN-STN-GPe) resonance model as follows [14]:…”
Section: Introductionmentioning
confidence: 99%
“…According to the simulation result in [16], the parameters τS = 12.80ms, τG = 20ms, τE = 10-20ms, and τI = 10-20ms. Therefore, the results in [14] and [16] are only for special parameters. In this paper we study the dynamic behavior for model (4) under general parameter values and do not use the bifurcation method.…”
Section: Introductionmentioning
confidence: 99%