Pulse-coupled neuron models as investigative tools for musical consonance
Pulse-coupled neuron models as investigative tools for musical consonance
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脉冲耦合神经元模型作为音乐和谐的研究工具
DOI：
10.1016/j.jneumeth.2009.06.041
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发表时间：
2009
影响因子：
3
通讯作者：
André Longtin
中科院分区：
文献类型：
--
作者：
Brian P. Heffernan;André Longtin
我们研究了脉冲耦合神经元的简单动力学模型对两个音调的锁模特性，即，简单的音程最近提出的音乐和谐的非线性同步理论链接的主观排名从协和不和谐的间隔的普遍秩序的鲁棒性的锁模比强迫非线性振荡器。该理论使用两个具有相互兴奋耦合的泄漏积分和激发神经元模型来说明，每个神经元在音乐间隔中的两个频率之一上激发。结果表明，这种模型中锁模态的有序性并不普遍，而是依赖于耦合强度。此外，除非耦合很弱，否则观察到的发射频率的比率高于输入音调的比率。最后，我们探索一个可能的同步理论的通用方面，通过驱动模型神经元与正弦强迫，导致下转换，更现实的放电率。当输入频率为简单比时，该模型表现出一对一的夹带。我们还考虑了存在于神经放电活动中的噪声的鲁棒性。我们简要地讨论了协议和差异，从这个理论和生理/心理物理数据的预测，并提出了进一步发展这一理论的方向。
We investigate the mode locking properties of simple dynamical models of pulse-coupled neurons to two tones, i.e., simple musical intervals. A recently proposed nonlinear synchronization theory of musical consonance links the subjective ranking from consonant to dissonant intervals to the universal ordering of robustness of mode locking ratios in forced nonlinear oscillators. The theory was illustrated using two leaky integrate-and-fire neuron models with mutual excitatory coupling, with each neuron firing at one of the two frequencies in the musical interval. We show that the ordering of mode locked states in such models is not universal, but depends on coupling strength. Further, unless the coupling is weak, the observed ratio of firing frequencies is higher than that of the input tones. We finally explore generic aspects of a possible synchronization theory by driving the model neurons with sinusoidal forcing, leading to down-converted, more realistic firing rates. This model exhibits one-to-one entrainment when the input frequencies are in simple ratios. We also consider the robustness to the presence of noise that is present in the neural firing activity. We briefly discuss agreements and discrepancies between predictions from this theory and physiological/psychophysical data, and suggest directions in which to develop this theory further.
影响因子：
2.4
作者：
Chialvo, DR;Calvo, O;Savino, GV
通讯作者：
Savino, GV