Department of Electrical & Electronics Engineering, Niğde Ömer Halisdemir University, 51240, Niğde, Turkey.
Department of Clinical Engineering Research Center, Erciyes University, 38039, Kayseri, Turkey.
Biosystems. 2020 Dec;198:104284. doi: 10.1016/j.biosystems.2020.104284. Epub 2020 Nov 4.
This study focuses on the synchronization control between the coupled neurons. The achievements of several synchronization control methods have been checked by evaluating the effects of the synaptic coupling weight alteration on the synchronization. Here, a neural ensemble has been constructed by utilizing the Hindmarsh Rose (HR) Neuron Model. The HR neurons have been linked to each other with the bidirectional coupling. The synchrony or the asynchrony states between these coupled neurons have been observed by using the standard deviation results. Here, firstly, the electrically and the chemically coupled HR neurons have been handled without using any control method, separately and the effects of the synaptic coupling weight alteration on the synchronic firing have been assessed by considering the features of the coupling types. Then, while the electrically coupled HR neurons are generally preferred in the available synchronization control studies; the Lyapunov, the back-stepping, and the feedback synchronization control methods have been adapted to both the electrically and the chemically coupled HR neurons. Thus, a remarkable contribution has been provided to the limited number of studies, which are about the synchronization control of the chemically coupled HR neurons. Also, the synchronization control between the electrically or the chemically coupled HR neurons has been provided by the back-stepping method for the first time. Finally, the differences between the membrane potentials of the coupled neurons have been calculated by utilizing an alternative error function. Since this function calculates the amplitude and the phase errors, separately; the effectiveness of these methods can be evaluated correctly in terms of the performing the minimum differences between the neural dynamics.
本研究关注的是耦合神经元之间的同步控制。通过评估突触耦合权重变化对同步的影响，检查了几种同步控制方法的效果。在这里，利用 Hindmarsh-Rose (HR) 神经元模型构建了一个神经元集合。HR 神经元通过双向耦合相互连接。通过标准偏差结果观察这些耦合神经元之间的同步或异步状态。首先，分别处理没有使用任何控制方法的电耦合和化学耦合 HR 神经元，并考虑耦合类型的特征来评估突触耦合权重变化对同步放电的影响。然后，虽然电耦合 HR 神经元在现有的同步控制研究中通常是首选的；但 Lyapunov、反推和反馈同步控制方法已被应用于电耦合和化学耦合 HR 神经元。因此，为化学耦合 HR 神经元的同步控制这一有限数量的研究提供了重要贡献。此外，反推法首次为电耦合或化学耦合 HR 神经元之间的同步控制提供了依据。最后，通过利用替代误差函数计算耦合神经元之间的膜电位差异。由于该函数分别计算幅度和相位误差，因此可以根据神经动力学之间的最小差异正确评估这些方法的有效性。
