Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
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DOI：
10.1371/journal.pone.0030411
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发表时间：
2012
期刊：
影响因子：
3.7
通讯作者：
Tyukin I
中科院分区：
文献类型：
--
作者：
Kazantsev V;Tyukin I
我们考虑并分析了尖峰时间依赖可塑性（STDP）对突触耦合神经元振子稳态的影响。与传统的STDP模型，其中尖峰定时影响突触连接的权重相比，我们考虑了STDP模型，其中突触前和/或突触后尖峰之间的时滞分别改变突触前和/或突触后神经元的内部状态。分析表明，这种类型的STDP过程，由一个单一的常微分方程建模，可以确保有效的，但粗，在系统中的尖峰锁相到一个给定的参考相位。相位锁定的精度，即相对于参考的相对相位偏差的幅度，取决于振荡器的自然频率的值，并且另外取决于STDP定律的参数。这些偏差可以通过适当调整STDP机制的增益（即，对尖峰定时失配的灵敏度）来优化。然而，正如我们所证明的那样，这种偏差不能任意小，既不能仅仅通过调整STDP增益，也不能通过调整突触权重。因此，如果系统中需要精确的锁相，则通常需要附加的调谐机构。我们发现，在STDP机制中以基线的缓慢波动的形式添加非常简单的自适应动力学使得能够以任意高精度在系统中进行精确的相位调谐。在缓慢的时间尺度上运行的适应可能与细胞外物质如基质和神经胶质有关。因此，研究结果可能表明后者在调节神经元回路中的突触传递中可能起作用。
We consider and analyze the influence of spike-timing dependent plasticity (STDP) on homeostatic states in synaptically coupled neuronal oscillators. In contrast to conventional models of STDP in which spike-timing affects weights of synaptic connections, we consider a model of STDP in which the time lags between pre- and/or post-synaptic spikes change internal state of pre- and/or post-synaptic neurons respectively. The analysis reveals that STDP processes of this type, modeled by a single ordinary differential equation, may ensure efficient, yet coarse, phase-locking of spikes in the system to a given reference phase. Precision of the phase locking, i.e. the amplitude of relative phase deviations from the reference, depends on the values of natural frequencies of oscillators and, additionally, on parameters of the STDP law. These deviations can be optimized by appropriate tuning of gains (i.e. sensitivity to spike-timing mismatches) of the STDP mechanism. However, as we demonstrate, such deviations can not be made arbitrarily small neither by mere tuning of STDP gains nor by adjusting synaptic weights. Thus if accurate phase-locking in the system is required then an additional tuning mechanism is generally needed. We found that adding a very simple adaptation dynamics in the form of slow fluctuations of the base line in the STDP mechanism enables accurate phase tuning in the system with arbitrary high precision. Adaptation operating at a slow time scale may be associated with extracellular matter such as matrix and glia. Thus the findings may suggest a possible role of the latter in regulating synaptic transmission in neuronal circuits.
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