Natural logarithmic relationship between brain oscillators

Natural logarithmic relationship between brain oscillators
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DOI:
10.1017/s1472928803000074
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发表时间:
2003-04-01
期刊:
Thalamus & Related Systems
影响因子:
--
通讯作者:
Buzsaki, Gyorgy
Buzsaki, Gyorgy
中科院分区:
其他
文献类型:
--
作者:
Penttonen, Markku;Buzsaki, Gyorgy

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行为相关的脑振荡以特定的方式相互关联,以允许具有各种连接的不同大小的神经元网络以协调的方式合作。例如,丘脑-皮层和海马振荡形成许多频带,它们遵循一般规则。具体地,具有从超慢到超快频率振荡的相继较快频率的振荡带的中心频率和频率范围在自然对数标度上形成算术级数。由于自然对数的数学性质,振荡的周期长度(周期)作为频率的倒数,在自然对数变换后也形成算术级数。一般来说,在振荡周期的某个阶段,神经元的兴奋性较大。由于这些激活阶段之间的间隔和激活的时间窗口与振荡周期的长度成比例地变化,因此较低频率的振荡允许神经元效应与较长延迟和较大延迟可变性以及较大参与区域的整合。因此,基于这些振荡的神经表征可能是复杂的。相比之下,高频振荡带允许通过合并来自具有短突触延迟和有限可变性的紧密定位的区域的突触事件来更精确和空间受限的信息表示。具有恒定关系的振荡频带的大家族可以用于克服由突触延迟施加的信息处理限制。(c)2003爱思唯尔科技有限公司。保留所有权利。
Behaviorally relevant brain oscillations relate to each other in a specific manner to allow neuronal networks of different sizes with wide variety of connections to cooperate in a coordinated manner. For example, thalamo-cortical and hippocampal oscillations form numerous frequency bands, which follow a general rule. Specifically, the center frequencies and frequency ranges of oscillation bands with successively faster frequencies, from ultra-slow to ultra-fast frequency oscillations, form an arithmetic progression on the natural logarithmic scale. Due to mathematical properties of natural logarithm, the cycle lengths (periods) of oscillations, as an inverse of frequency, also form an arithmetic progression after natural logarithmic transformation. As a general rule, the neuronal excitability is larger during a certain phase of the oscillation period. Because the intervals between these activation phases and the temporal window of activation vary in proportion to the length of the oscillation period, lower frequency oscillations allow for an integration of neuronal effects with longer delays and larger variability in delays and larger areas of involvement. Neural representations based on these oscillations could therefore be complex. In contrast, high frequency oscillation bands allow for a more precise and spatially limited representation of information by incorporating synaptic events from closely located regions with short synaptic delays and limited variability. The large family of oscillation frequency bands with a constant relation may serve to overcome the information processing limitations imposed by the synaptic delays. (c) 2003 Elsevier Science Ltd. All rights reserved.