大脑中的非线性波-波相互作用。

Nonlinear wave-wave interactions in the brain.

作者信息

Ferdousi M, Babaie-Janvier T, Robinson P A

机构信息

School of Physics, University of Sydney, New South Wales 2006, Australia; Center for Integrative Brain Function, University of Sydney, New South Wales 2006, Australia.

出版信息

J Theor Biol. 2020 Sep 7;500:110308. doi: 10.1016/j.jtbi.2020.110308. Epub 2020 May 7.

DOI:10.1016/j.jtbi.2020.110308

PMID:32389568

Abstract

Neural field theory of the corticothalamic system is used to analyze nonlinear wave-wave interactions in steady state visual evoked potential responses. The nonlinear power spectrum is analytically calculated by convolving the linear power spectrum with itself and other factors. Periodic sine and square wave stimuli are used to generate steady state visual evoked potential responses and to study stimulus-driven nonlinear corticothalamic dynamic interactions. Moreover, we use dual sine drives to analyze the driven dynamics. Numerical analysis shows that the nonlinear power spectrum embodies key nonlinear features, including harmonic and subharmonic generation, entrainment of the alpha rhythm to periodic stimuli at the drive frequency, sum and difference frequencies due to wave-wave coalescence and decay. Further, the scaling properties of the key phenomena observed in nonlinear interactions are studied, verifying some of the theoretical predictions for these being generated by three-wave processes.

摘要

皮质丘脑系统的神经场理论被用于分析稳态视觉诱发电位反应中的非线性波 - 波相互作用。通过将线性功率谱与自身及其他因素进行卷积，解析计算出非线性功率谱。使用周期性正弦波和方波刺激来产生稳态视觉诱发电位反应，并研究刺激驱动的非线性皮质丘脑动态相互作用。此外，我们使用双正弦驱动来分析驱动动力学。数值分析表明，非线性功率谱体现了关键的非线性特征，包括谐波和次谐波的产生、α节律在驱动频率下对周期性刺激的同步、由于波 - 波合并和衰减产生的和频与差频。此外，还研究了在非线性相互作用中观察到的关键现象的标度性质，验证了一些关于这些现象由三波过程产生的理论预测。