Nonlinear delayed feedback control of synchronization in an excitatory-inhibitory coupled neuronal network
Nonlinear delayed feedback control of synchronization in an excitatory-inhibitory coupled neuronal network
复制标题
兴奋-抑制耦合神经网络同步的非线性延迟反馈控制
DOI：
10.1007/s11071-019-04937-3
复制
发表时间：
2019
影响因子：
5.6
通讯作者：
Liu Shenquan
中科院分区：
文献类型：
--
作者：
Zhang Xiaohan;Liu Shenquan
我们探索非线性延时反馈作为控制兴奋-抑制耦合神经元网络同步的技术。反馈信号可以用两种形式表示：差分反馈控制和直接反馈控制，以抑制突发同步。在反馈强度和时间延迟的二维平面中，描述了有效同步抑制的域。对于这两种不同类型的非线性反馈，数值模拟产生完全不同的结果：差分反馈是非侵入性的，但其鲁棒性能很脆弱。然而，直接反馈对于刺激参数变化是稳健的，但它是侵入性的。此外，通过计算膜上的磁通量引入电磁感应，并探讨其如何影响非线性时滞反馈控制以抑制突发同步。我们表明，适当的电磁感应可以增强差分反馈的去同步效应。而直接反馈的去同步效应是靠很小的电磁感应强度来维持的，一旦超过临界值就不再起作用。这些结果有望有助于我们控制异常的大脑同步，并促进非线性反馈控制方案在实际临床治疗中的应用。
We explore nonlinear time-delayed feedback as a technique for the control of synchronization in excitatory–inhibitory coupled neuronal networks. The feedback signal can be expressed in two forms: differential feedback control and direct feedback control, to suppress bursting synchronization. In the two-dimensional plane of feedback strength and time delay, domains of effective synchronization suppression are described. For these two different types of nonlinear feedback, numerical simulations yield completely different results: The differential feedback is noninvasive, but it has a fragile robust performance. However, the direct feedback is robust against stimulation parameter variations, but it is invasive. Furthermore, electromagnetic induction is introduced by calculating the magnetic flux on membrane, and how it affects nonlinear time-delayed feedback control to suppress bursting synchronization is explored. We show that desynchronization effect of the differential feedback can be enhanced by appropriate electromagnetic induction. And desynchronization effect of the direct feedback is maintained by a small electromagnetic induction intensity, and no longer works once it exceeds a critical value. These presented results are expected to facilitate us to control abnormal brain synchrony, and promote the applications of the nonlinear feedback control scheme in practical clinical treatment.