Dynamics of antiphase bursting modulated by the inhibitory synaptic and hyperpolarization-activated cation currents

IF 2.1 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Frontiers in Computational Neuroscience Pub Date : 2024-02-09 DOI:10.3389/fncom.2024.1303925
Linan Guan, Huaguang Gu, Xinjing Zhang
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Abstract

Antiphase bursting related to the rhythmic motor behavior exhibits complex dynamics modulated by the inhibitory synaptic current (Isyn), especially in the presence of the hyperpolarization-activated cation current (Ih). In the present paper, the dynamics of antiphase bursting modulated by the Ih and Isyn is studied in three aspects with a theoretical model. Firstly, the Isyn and the slow Ih with strong strength are the identified to be the necessary conditions for the antiphase bursting. The dependence of the antiphase bursting on the two currents is different for low (escape mode) and high (release mode) threshold voltages (Vth) of the inhibitory synapse. Secondly, more detailed co-regulations of the two currents to induce opposite changes of the bursting period are obtained. For the escape mode, increase of the Ih induces elevated membrane potential of the silence inhibited by a strong Isyn and shortened silence duration to go beyond Vth, resulting in reduced bursting period. For the release mode, increase of the Ih induces elevated tough value of the former part of the burst modulated by a nearly zero Isyn and lengthen burst duration to fall below Vth, resulting in prolonged bursting period. Finally, the fast-slow dynamics of the antiphase bursting are acquired. Using one-and two-parameter bifurcations of the fast subsystem of a single neuron, the burst of the antiphase bursting is related to the stable limit cycle, and the silence modulated by a strong Isyn to the stable equilibrium to a certain extent. The Ih mainly modulates the dynamics within the burst and quiescent state. Furthermore, with the fast subsystem of the coupled neurons, the silence is associated with the unstable equilibrium point. The results present theoretical explanations to the changes in the bursting period and fast-slow dynamics of the antiphase bursting modulated by the Isyn and Ih, which is helpful for understanding the antiphase bursting and modulating rhythmic motor patterns.
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抑制性突触和超极化激活阳离子电流调制的反相猝发动力学
与节律性运动行为相关的反相猝发表现出受抑制性突触电流(Isyn)调制的复杂动态,尤其是在存在超极化激活阳离子电流(Ih)的情况下。本文通过一个理论模型,从三个方面研究了受 Ih 和 Isyn 调节的反相猝发动力学。首先,Isyn 和强度较强的慢速 Ih 被认为是反相猝灭的必要条件。在抑制性突触的低阈值电压(逃避模式)和高阈值电压(释放模式)下,反相猝发对这两种电流的依赖性是不同的。其次,我们得到了两种电流诱导猝发期发生相反变化的更详细的共同调节。在逃逸模式下,Ih 的增加会导致被强 Isyn 抑制的沉默膜电位升高,沉默持续时间缩短至 Vth 以上,从而导致猝发期缩短。在释放模式下,Ih 的增加会导致猝发前半部分的韧值升高,并受到几乎为零的 Isyn 的调节,同时猝发持续时间延长,使其低于 Vth,从而导致猝发期延长。最后,获得了反相猝发的快慢动态。利用单个神经元快速子系统的一参数和二参数分岔,反相猝发的猝发与稳定的极限周期有关,而由强 Isyn 调制的沉默与稳定的平衡在一定程度上有关。Ih 主要调节猝发和静息状态内的动态。此外,在耦合神经元的快速子系统中,沉默与不稳定平衡点有关。研究结果从理论上解释了 Isyn 和 Ih 所调制的反相猝发的猝发周期和快慢动态变化,有助于理解反相猝发和调制节律性运动模式。
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来源期刊
Frontiers in Computational Neuroscience
Frontiers in Computational Neuroscience MATHEMATICAL & COMPUTATIONAL BIOLOGY-NEUROSCIENCES
CiteScore
5.30
自引率
3.10%
发文量
166
审稿时长
6-12 weeks
期刊介绍: Frontiers in Computational Neuroscience is a first-tier electronic journal devoted to promoting theoretical modeling of brain function and fostering interdisciplinary interactions between theoretical and experimental neuroscience. Progress in understanding the amazing capabilities of the brain is still limited, and we believe that it will only come with deep theoretical thinking and mutually stimulating cooperation between different disciplines and approaches. We therefore invite original contributions on a wide range of topics that present the fruits of such cooperation, or provide stimuli for future alliances. We aim to provide an interactive forum for cutting-edge theoretical studies of the nervous system, and for promulgating the best theoretical research to the broader neuroscience community. Models of all styles and at all levels are welcome, from biophysically motivated realistic simulations of neurons and synapses to high-level abstract models of inference and decision making. While the journal is primarily focused on theoretically based and driven research, we welcome experimental studies that validate and test theoretical conclusions. Also: comp neuro
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