Freeman W J
Biol Cybern. 1979 Dec;35(4):221-34. doi: 10.1007/BF00344205.
The spatial pattern of EEG activity at the surface of the olfactory bulb tends to be invariant with respect to input and to change to a new pattern whenever an animal is trained to expect or search for a particular odor. It is postulated here that the spatial EEG pattern is dependent on a neural template for that odor that is formed during training. This hypothesis is expressed in the form of a model consisting of an array of interconnected elements (1 X 10 or 6 X 6). Each element represents 2 excitatory and 2 inhibitory subsets of neurons with 3 types of internal feedback: negative, mutually excitatory, and mutually inhibitory. The elements are interconnected only by mutual excitation and mutual inhibition. Each neural subset is represented by a nonlinear differential equation; the connections are represented by modifiable coupling coefficients. With appropriate values of the time, coupling, and gain coefficients, and with input that is modelled on olfactory input, the set of 40 or 144 equations gives output that simulates the time and space patterns of the EEG. In the naive state the coefficients are uniform. A template is formed by giving input to selected elements, cross-correlating the outputs, and weighting the mutually excitatory coupling coefficient between each pair of elements by the corresponding correlation coefficient. When a template has been formed, input to nontemplate elements is treated as noise. Optionally a matched filter is made to simulate habituation by reducing the synaptic gain coefficients of those excitatory subsets that receive the noise. The model is tested by giving input to nontemplate elements and to none, part or all of the template elements. There are two outputs of the model. One is the spatial pattern Vj of the root mean square (rms) amplitudes of the individual outputs v(j, t) of the elements. The other output is the rms amplitude Erms of the ensemble average E(t) over v(j, t). The results show that Vj depends on the template and is relatively insensitive to input, whether or not input is given to template elements. However, Erms increases in proportion to the number of "hits" on the template. If the number of elements receiving noise does not exceed the number of elements in a template, or if the noise is matched with a habituation filter, then Erms rises above the noise level for a "hit" on any one or more template elements irrespective of location or combination. Vj conforms to the performance of the surface EEG. Erms is not yet accessible to physiological measurement.
嗅球表面脑电图(EEG)活动的空间模式往往相对于输入保持不变,并且每当动物被训练去预期或寻找特定气味时,就会转变为一种新的模式。本文假设空间EEG模式依赖于在训练期间形成的针对该气味的神经模板。这个假设以一个由相互连接的元素阵列(1×10或6×6)组成的模型形式表示。每个元素代表具有3种内部反馈类型(负反馈、相互兴奋和相互抑制)的2个兴奋性神经元子集和2个抑制性神经元子集。这些元素仅通过相互兴奋和相互抑制相互连接。每个神经子集由一个非线性微分方程表示;连接由可修改的耦合系数表示。通过适当设置时间、耦合和增益系数,并使用基于嗅觉输入建模的输入,这组40个或144个方程给出的输出模拟了EEG的时间和空间模式。在未经过训练的状态下,系数是均匀的。通过向选定元素输入、对输出进行互相关,并通过相应的相关系数对每对元素之间的相互兴奋耦合系数进行加权,从而形成一个模板。当形成一个模板后,向非模板元素的输入被视为噪声。可选地,通过降低接收噪声的那些兴奋性子集的突触增益系数,制作一个匹配滤波器来模拟习惯化。通过向非模板元素以及模板元素的无、部分或全部输入来测试该模型。该模型有两个输出。一个是元素的各个输出v(j, t)的均方根(rms)幅度的空间模式Vj。另一个输出是v(j, t)的总体平均值E(t)的rms幅度Erms。结果表明,无论是否向模板元素输入,Vj都依赖于模板且对输入相对不敏感。然而,Erms与模板上的“命中”次数成比例增加。如果接收噪声的元素数量不超过模板中的元素数量,或者如果噪声与习惯化滤波器匹配,那么对于模板上任何一个或多个元素的“命中”,无论位置或组合如何,Erms都会上升到噪声水平之上。Vj符合表面EEG的表现。Erms目前还无法通过生理测量获得。