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In this paper limited penetrable visibility graph (LPVG) approach is introduced to analyze the background electroencephalograph (EEG) activity in Alzheimer's disease (AD) patients. LPVG provides a measure of transforming the time series, i.e., EEG, into complex networks, which has become a research hotspot in the field of cognitive neurodynamics. So in this work, LPVG is chosen as the center method...
As a new method on curing mental diseases, Deep Brain Stimulation (DBS) gives great help to patients who do not respond to drug therapies. However, most of the DBS therapies used at present are using high-frequency signals as open-loop stimulating signals, whose mechanism is not sufficiently understood. In this paper, basing on the synchronization mechanism and the close-loop stability theory, we...
This paper presents an adaptive control algorithm for unidirectional synchronization of two Hodgkin-Huxley (H-H) neurons. The H-H neuron exhibits different periods bursting in response to electrical stimulation. Based on the Lyapunov stability theory, we derive the error estimation and adaptive control method. With the help of the adaptive method mentioned in this article, we can adjust the abnormal...
This paper proposes a particle swarm optimization (PSO) to identify the optimal parameter set of periodic deep brain stimulation (DBS) waveforms. A computational model characterizing Parkinson's disease (PD) is introduced. In Parkinsonian state, the firing of globus pallidus in pars interna (GPi) is burstlike and synchronized. If DBS current is applied, the tonic rhythm output of GPi could restore...
It is common that a neuron or a network in the tissue or organ of human makes an unusual action which will lead to some illnesses such as depression and epilepsy because some parameters of the neuron are changed or some connections in the network are strengthened, weakened, or lost. So it is important to adjust the ill neuron or network back to normal condition. In this paper, we use model reference...
In this paper, we consider a three-population food chain model which concerning about impulsive releasing predators (natural enemies) at fixed moment. By using the Floquet theory and the comparison theorem of impulsive differential equation, conditions for global asymptotic stability of pest-eradication periodic solution and permanence of the system are obtained. Finally, the explanation of its biological...
Based on the classical epidemic mode, a new epidemic model of forest which integrates Monochamus Alternatus Hope with Pines was established. The expression of the critical threshold was found. It is proved that, when the critical threshold less than 1, the disease free equilibrium is locally asymptotically stable, and when the critical threshold more than 1, the insect pests equilibrium is locally...
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