Generalising the Kuramoto model for the study of neuronal synchronisation in the brain

Generalising the Kuramoto model for the study of neuronal synchronisation in the brain
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DOI:
10.1016/j.physd.2006.12.004
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发表时间:
2007-02-15
影响因子:
4
通讯作者:
Unsworth, C. P.
Unsworth, C. P.
中科院分区:
数学3区
文献类型:
--
作者:
Cumin, D.;Unsworth, C. P.

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在这篇文章中,我们已经推广了仓本模型,使之能够更适当地模拟神经元同步。广义版本允许不同的连接安排,随时间变化的自然频率和随时间变化的耦合强度内实现的原始仓本模型的框架。通过将上述特征结合到原始的仓本模型中,可以允许适应大脑中神经元的自适应性质。广泛的测试,使用广义仓本模型进行了N = 4耦合振荡器网络。检查如何不同的连接安排,随时间变化的自然频率和随时间变化的耦合强度影响同步单独和组合的报告。同步大N的影响也报道。(c)2006 Elsevier B.V.保留所有权利。
In this article, we have generalised the Kuramoto model to allow one to model neuronal synchronisation more appropriately. The generalised version allows for different connective arrangements, time-varying natural frequencies and time-varying coupling strengths to be realised within the framework of the original Kuramoto model. By incorporating the above mentioned features into the original Kuramoto model one can allow for the adaptive nature of neurons in the brain to be accommodated. Extensive tests using the generalised Kuramoto model were performed on a N = 4 coupled oscillator network. Examination of how different connective arrangements, time-varying natural frequencies and time-varying coupling strengths affected synchronisation separately and in combination are reported. The effects on synchronisation for large N are also reported. (c) 2006 Elsevier B.V. All rights reserved.