Dynamics of multiple interacting excitatory and inhibitory populations with delays

Dynamics of multiple interacting excitatory and inhibitory populations with delays
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具有延迟的多个相互作用的兴奋性和抑制性群体的动态

DOI:
10.1101/360479
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发表时间:
2018
期刊:
bioRxiv
影响因子:
--
通讯作者:
Arvind Kumar
Arvind Kumar
中科院分区:
--
文献类型:
--
作者:
Christopher M. Kim;U. Egert;Arvind Kumar

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由兴奋性和抑制性(EI)神经元组成的网络是理解皮层网络活动的典型模型。在这项研究中,我们扩展了EI网络模型,并研究了当它与另一个具有传输延迟的兴奋性(E)种群相互作用时,它的动力学景观是如何丰富的。通过对一个速率模型和一个脉冲网络模型的分析和模拟,我们研究了从稳态到振荡态的过渡,通过分析两个网络参数的Hopf分支结构:1)EI子网络和E种群之间的传输延迟和2)在EI子网络中引起振荡活动的抑制耦合。我们发现,临界耦合强度可以强烈调制作为传输延迟的函数,因此,稳定状态是交织错综复杂的振荡状态产生不同的频率模式。这将导致出现一个孤立的定态周围的多个振荡状态和交叉频率耦合的发展在分叉点。我们确定了可能的网络图案,诱导振荡,并研究如何多个振荡状态走到一起,以丰富的动态景观。
A network consisting of excitatory and inhibitory (EI) neurons is a canonical model for understanding cortical network activity. In this study, we extend the EI network model and investigate how its dynamical landscape can be enriched when it interacts with another excitatory (E) population with transmission delays. Through analysis and simulations of a rate model and a spiking network model, we study the transition from stationary to oscillatory states by analyzing the Hopf bifurcation structure in terms of two network parameters: 1) transmission delay between the EI subnetwork and the E population and 2) inhibitory couplings that induce oscillatory activity in the EI subnetwork. We find that the critical coupling strength can strongly modulate as a function of transmission delay, and consequently the stationary state is interwoven intricately with oscillatory states generating different frequency modes. This leads to the emergence of an isolated stationary state surrounded by multiple oscillatory states and cross-frequency coupling develops at the bifurcation points. We identify the possible network motifs that induce oscillations and examine how multiple oscillatory states come together to enrich the dynamical landscape.
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