The effect of oxygen concentration on the coupled neurons: Rich spiking patterns and synchronization
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https://doi.org/10.1007/s11431-020-1659-y
The effect of oxygen concentration on the coupled neurons: Rich spiking patterns and synchronization HE ZhiWei1 & YAO ChengGui2* 2 College
1 Department of Mathematics, Shaoxing University, Shaoxing 312000, China; of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314000, China
Received May 9, 2020; accepted May 28, 2020; published online October 13, 2020
The dynamical microenvironments play a crucial role in neuronal spiking patterns. In this paper, we investigated the effect of oxygen concentration on different synchronous spiking patterns of two coupled neuron models by including dynamical ion concentration. Two coupling modes of electrical diffusive coupling and potassium diffusive coupling were considered. In these two cases, oxygen concentration exhibited an important role in the synchronous spiking patterns between two coupled neurons, and extremely rich electrical activities were observed. For the potassium diffusive coupling, differential synchronous patterns of oscillation state (OS), synchronous epileptic seizure state (SSZ) and synchronous spreading depression state (SSD) as well as SZ and SD bursting states were generated. For the electrical diffusive coupling, differential synchronous patterns of resting state (RS), SSZ and SSD were observed. neuron model, phase synchronization, electrical diffusive coupling, potassium diffusive coupling Citation:
He Z W, Yao C G. The effect of oxygen concentration on the coupled neurons: Rich spiking patterns and synchronization. Sci China Tech Sci, 2020, 63, https://doi.org/10.1007/s11431-020-1659-y
1 Introduction It has been well accepted that different ion concentrations inside and outside the cells exhibit a significant role in neuronal firing, and the electrical activities of neurons are interdependent with diverse ion concentrations, including sodium, calcium and potassium [1–5]. Typically, neuronal firing may occur followed by the changes in ion concentrations. For instance, a considerable amount of extracellular potassium has been accumulated during neuronal spiking. More importantly, a high potassium concentration is closely associated with the epileptic activity of neurons. Numerous studies have reported that the abnormally high concentrations of extracellular potassium can trigger physiological diseases such as cortical spreading depression [6], diabetes and arrhythmias diseases [7–10]. *Corresponding author (email: [email protected])
The neuron model with numerical simulations and experimental validation has suggested that extracellular potassium concentration can play a crucial role in determining the dynamical patterns of neuronal activities. The experiments pointed out that a high level of potassium (e.g. 8 mM (1 M= 1 mol L−1 ), normal value 3.5 mM) in the bath was associated with seizure [11], and it might evoke spreading depression when its level was increased to 26 mM [12] or 40 mM [13]. Several modeling studies have shown that potassium dynamics can
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