Neuronal avalanches: Sandpiles of self-organized criticality or critical dynamics of brain waves?
Neuronal avalanches: Sandpiles of self-organized criticality or critical dynamics of brain waves?
复制标题
DOI：
10.1007/s11467-023-1273-7
复制
发表时间：
2023-08-01
影响因子：
7.5
通讯作者：
Frank, Lawrence R.
中科院分区：
文献类型：
--
作者：
Galinsky, Vitaly L.;Frank, Lawrence R.
从一般的非线性波哈密顿形式导出的脑电波频谱的缩放的解析表达式与实验“神经元雪崩”数据显示出良好的一致性。弱瞬逝非线性脑电波动力学的理论[Phys. Rev. Research 2，023061（2020）; J. Cognitive Neurosci. 32，2178（2020）]揭示了隐藏在神经元雪崩现象学统计描述背后的潜在集体过程，并将整个脑活动状态范围连接在一起，从振荡波样模式到神经元雪崩，到非相干尖峰，表明神经元雪崩只是皮层组织中丰富的波过程的不同非线性方面的表现。在更广泛的方式，这些结果表明，通过所有可能的组合的三阶非线性项所描述的一般波哈密顿系统的波模式相互作用，必然产生非谐波模式的时间和空间的标度特性，遵循无标度幂律。据我们所知，这在物理学文献中从未报道过，可能适用于许多涉及波过程的物理系统，而不仅仅是神经元雪崩。
Analytical expressions for scaling of brain wave spectra derived from the general nonlinear wave Hamiltonian form show excellent agreement with experimental "neuronal avalanche" data. The theory of the weakly evanescent nonlinear brain wave dynamics [Phys. Rev. Research 2, 023061 (2020); J. Cognitive Neurosci. 32, 2178 (2020)] reveals the underlying collective processes hidden behind the phenomenological statistical description of the neuronal avalanches and connects together the whole range of brain activity states, from oscillatory wave-like modes, to neuronal avalanches, to incoherent spiking, showing that the neuronal avalanches are just the manifestation of the different nonlinear side of wave processes abundant in cortical tissue. In a more broad way these results show that a system of wave modes interacting through all possible combinations of the third order nonlinear terms described by a general wave Hamiltonian necessarily produces anharmonic wave modes with temporal and spatial scaling properties that follow scale free power laws. To the best of our knowledge this has never been reported in the physical literature and may be applicable to many physical systems that involve wave processes and not just to neuronal avalanches.