EEG coherence has structure in the millimeter domain: subdural and hippocampal recordings from epileptic patients

Subdural recordings from 8 patients and depth recordings from 3 patients via rows of electrodes with 5-10 mm spacing were searched for signs of significant local differentiation of coherence calculated between all possible pairs of loci. EEG samples of 2-4 min were taken during 4 states: alertness, stage 2-3 sleep, light surgical anesthesia permitting the patient to respond to questions and electrical seizures. Coherence was computed for all frequencies from 1 to 50 Hz or 0.3-100 Hz; for comparisons the mean coherence over each of 6 or 7 narrower bands between 2 and 70 Hz was used. Whereas the literature supports the view that EEG coherence is usually substantial over many centimeters, the hypothesis here tested--and found to be well above stochastic expectations--is that significant structure occurs in the millimeter domain for EEG recorded subdurally or within the brain. In both the subdural surface samples and those from temporal lobe depth electrode arrays coherence declines with distance between electrodes of the pair, on the average quite severely in millimeters. This is nearly the same for all frequency bands. For middle bands like 8-13 and 13-20 Hz, mean coherence typically declines most steeply in the first 10 mm, from values indistinguishable from 1.0 at < 0.5 mm distance to 0.5 at 5-10 mm and to 0.25 in another 10-20 mm in the subdural surface data. Temporal lobe depth estimates decline about half as fast; coherence > or = 0.5 extends for 9-20 mm and > or = 0.25 for another 20-35mm. Low frequency bands (1-5, 5-8 Hz) usually fall slightly more slowly than high frequency bands (20-35, 35-50 Hz but the difference is small and variance large. The steepness of decline with distance in humans is significantly but only slightly smaller than that we reported earlier for the rabbit and rat, averaging less than one half. Local coherence, for individual pairs of loci, shows differentiation in the millimeter range, i.e., nearest neighbor pairs may be locally well above or below average and this is sustained over minutes. Local highs and lows tend to be similar for widely different frequency bands. Coherence varies quite independently of power, although they are sometimes correlated. Regional differentiation is statistically significant in average coherence among pairs of loci on temporal vs frontal cortex or lateral frontal vs. subfrontal strips in the same patient, but such differences are usually small.(ABSTRACT TRUNCATED AT 400 WORDS)