A spatially continuous mean field theory of electrocortical activity
A spatially continuous mean field theory of electrocortical activity
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DOI：
10.1088/0954-898x/13/1/303
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发表时间：
2002-02-01
影响因子：
7.8
通讯作者：
Dafilis, MP
中科院分区：
文献类型：
--
作者：
Liley, DTJ;Cadusch, PJ;Dafilis, MP
提出了一组描述皮层神经活动动态的非线性连续场方程。这些考虑到皮层中发现的最相关的解剖学和生理学特征以及可从独立实验获得的所有参数值。从一组线性方程推导白噪声波动谱表明存在与脑电图观察到的 0.3-4 Hz（哺乳动物 delta）、4-8 Hz（哺乳动物 theta）、8-13 Hz（哺乳动物 α）和 >13 Hz（哺乳动物 β）活动相对应的强共振。全套一维非线性方程的数值解包括类似于皮层诱发电位的属性、实验观察到的速度下的行波、阈值类型尖峰活动和极限环、哺乳动物阿尔法节律频率下的混沌和噪声驱动振荡。所有这些类型的行为都是通过实验报告的范围内的参数生成的。证明了观察到的现象对抑制-抑制相互作用的强烈依赖性。这些结果表明，经典描述的α可以在许多性质不同的动态机制中实例化，所有这些都取决于抑制-抑制群体相互作用的完整性。
A set of nonlinear continuum field equations is presented which describes the dynamics of neural activity in cortex. These take into account the most pertinent anatomical and physiological features found in cortex with all parameter values obtainable from independent experiment. Derivation of a white noise fluctuation spectrum from a linearized set of equations shows the presence of strong resonances that correspond to electroencephalographically observed 0.3-4 Hz (mammalian delta), 4-8 Hz (mammalian theta), 8-13 Hz (mammalian alpha) and >13 Hz (mammalian beta) activity. Numerical solutions of a full set of one-dimensional nonlinear equations include properties analogous to cortical evoked potentials, travelling waves at experimentally observed velocities, threshold type spike activity and limit cycle, chaotic and noise driven oscillations at the frequency of the mammalian alpha rhythm. All these types of behaviour are generated with parameters that are within ranges reported experimentally. The strong dependence of the phenomena observed on inhibitory-inhibitory interactions is demonstrated. These results suggest that the classically described alpha may be instantiated in a number of qualitatively distinct dynamical regimes, all of which depend on the integrity of inhibitory-inhibitory population interactions.