Complementarity of spike- and rate-based dynamics of neural systems.
Complementarity of spike- and rate-based dynamics of neural systems.
复制标题
DOI：
10.1371/journal.pcbi.1002560
复制
发表时间：
2012
影响因子：
4.3
通讯作者：
Steyn-Ross DA
中科院分区：
文献类型：
--
作者：
Wilson MT;Robinson PA;O'Neill B;Steyn-Ross DA
通过分析一个可以用这两种方法处理的模型系统，探讨了神经元放电和基于速率的方法之间的关系，其中基于速率的方法进一步在多个神经元上求平均，从而给出了一种神经场方法。该系统由一系列神经元组成，每个神经元都有简单的放电动力学，具有已知的基于速率的等价物。神经元通过传播活动联系在一起，传播活动用空间相互作用强度来描述，时间延迟反映神经元之间的距离；也包括通过单独的延迟环路的反馈，因为这样的环路也存在于真实的大脑中。这些相互作用是使用时空耦合函数来描述的，该函数可以携带尖峰或速率来提供神经元之间的耦合。对具有这些兼容耦合的相应的基于尖峰和基于速率的方法进行数值模拟，然后允许在这些方法产生的动力学之间进行直接比较。基于速率的动力学可以再现基于脉冲的模型中存在的两种不同形式的振荡：单个神经元的尖峰速率和网络诱导的尖峰速率调制，如果网络相互作用足够强的话就会发生。取决于条件，任何一种振荡模式都可以主导基于尖峰的动态，并且在某些情况下，特别是当这两种模式的频率之比是整数或半整数时，这两种模式都可以存在并且相互作用。我们开发并演示了一个模型，该模型允许我们检查神经元的峰电位和基于速率的模型的预测及其相互作用是如何相关的。首先，通过分别模拟每个尖峰神经元和尖峰神经元之间的相互作用来探索神经元链的行为。其次，使用基于神经元放电速率的近似方法来研究相同的链。对这两种方法的预测进行了密切的比较，发现更简单的基于速率的方法捕捉到了基于尖峰的方法的主要系统行为，即尖峰速率和这些速率中的调制。当一种模式的频率是另一种模式频率的整数倍或半整数倍时，这些模式之间会发生强烈的相互作用。
Relationships between spiking-neuron and rate-based approaches to the dynamics of neural assemblies are explored by analyzing a model system that can be treated by both methods, with the rate-based method further averaged over multiple neurons to give a neural-field approach. The system consists of a chain of neurons, each with simple spiking dynamics that has a known rate-based equivalent. The neurons are linked by propagating activity that is described in terms of a spatial interaction strength with temporal delays that reflect distances between neurons; feedback via a separate delay loop is also included because such loops also exist in real brains. These interactions are described using a spatiotemporal coupling function that can carry either spikes or rates to provide coupling between neurons. Numerical simulation of corresponding spike- and rate-based methods with these compatible couplings then allows direct comparison between the dynamics arising from these approaches. The rate-based dynamics can reproduce two different forms of oscillation that are present in the spike-based model: spiking rates of individual neurons and network-induced modulations of spiking rate that occur if network interactions are sufficiently strong. Depending on conditions either mode of oscillation can dominate the spike-based dynamics and in some situations, particularly when the ratio of the frequencies of these two modes is integer or half-integer, the two can both be present and interact with each other. We develop and demonstrate a model that allows us to examine how the predictions of spiking and rate-based models of neurons and their interactions are related. First, the behavior of a chain of neurons is explored by simulating each spiking neuron and spike-mediated interactions between neurons individually. Second, the same chain is studied using approximations based on the firing rate of the neurons. The predictions for these two approaches are closely compared and it is found that the simpler, rate-based approach captures the major system behaviors of the spike-based approach, namely spiking rates and modulations in those rates. Strong interactions between these modes take place when the frequency of one mode is an integer or half-integer multiple of the frequency of the other mode.
登录
查看更多内容
影响因子：
--
作者：
Izhikevich, EM
通讯作者：
Izhikevich, EM
影响因子：
5.7
作者：
Marreiros, Andre C.;Daunizeau, Jean;Friston, Karl J.
通讯作者：
Friston, Karl J.
影响因子：
6
作者：
Hao, Yinghang;Gong, Yubing;Ma, Xiaoguang
通讯作者：
Ma, Xiaoguang
影响因子：
4.3
作者：
Bojak I;Liley DT
通讯作者：
Liley DT
影响因子：
4.3
作者：
Deco, Gustavo;Jirsa, Viktor K.;Robinson, Peter A.;Breakspear, Michael;Friston, Karl J.
通讯作者：
Friston, Karl J.