谐振子神经元在两类不同兴奋性类型的耦合积分神经元和谐振子神经元动力学中的作用
The role of resonator neuron in the dynamics of two coupled integrator and resonator neurons of different types of excitability
AI总结：
本文研究间隙连接耦合的静默谐振子神经元与脉冲积分神经元，利用分岔理论揭示其多稳态、混合模式振荡、簇放电及阈下振荡共存机制，并阐明最终同步对应于积分神经元紧张性脉冲与谐振子神经元一次簇放电的同步。
摘要：
本文通过间隙连接将一个静默的谐振子神经元与一个发放脉冲的积分神经元耦合，此时耦合神经元具有不同类型的兴奋性，且耦合神经元均不内在地表现出混合模式振荡和簇放电振荡。利用动力系统理论（例如分岔理论），在固定其中一个耦合强度并改变另一个耦合强度的情况下，研究了所有观察到的振荡模式及其之间的转迁机制。值得注意的是，参数空间中存在一个区间，在该区间内的参数值下，耦合系统是多稳态的。这种多稳态对应于谐振子神经元的混合模式振荡、簇放电振荡和阈下振荡的共存。此外，还给出了参数空间中的某个区间，使得当耦合强度取值在该区间内时，谐振子神经元处于紧张性脉冲发放模式，而当耦合强度取值在该区间之外时，谐振子神经元表现出阈下振荡。研究还验证了耦合神经元的最终同步实际上对应于积分神经元的紧张性脉冲振荡与谐振子神经元的一次簇放电振荡的同步。
英文摘要：
In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability and none of the coupled neurons exhibit mixed mode oscillations and bursting oscillations intrinsically. By using dynamical systems theory (e.g. the bifurcation theory), all the observed oscillation patterns and the transition mechanisms between them are investigated, when one of the coupling strengths is fixed and the other is varied. It is noticeable that, there is an interval in the parameter space, for the parameter values within which the coupled system is multi-stable. This multistability corresponds to the coexistence of mixed mode oscillations, bursting oscillations and subthreshold oscillations of the resonator neuron. In addition, some interval in the parameter space is introduced such that, for the values of the coupling strength within which the resonator neuron is in tonic spiking mode, while for the values of the coupling strength outside which the resonator neuron exhibits subthreshold oscillations. It is also verified that the final synchronization of the coupled neurons actually corresponds to the synchronization of tonic spiking oscillations of the integrator neuron and one-bursting oscillations of the resonator neuron.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
