Equal delay means and variances gave different gain limits in 91 selected Allen mouse pair models

We tested two delay laws in negative feedback models of 91 selected reciprocal excitatory-inhibitory pairs from Allen mouse visual cortex. An exponential law and an equal two-point law at zero and twice the mean have equal mean and variance. We held stored voltage decay times fixed. The two-point law gave a critical gain 7.51 percent lower at the median, with a range of 1.91 to 10.86 percent lower. Differences exceeded 5 percent in 69 pairs and 10 percent in eight pairs. An exact finite bound checked all possible frequency branches. Independent bisection and complex-root checks agreed. Interior decays and half or twice the onset delays retained the direction. Three human pairs do not establish transfer. A synthetic case reversed the direction, so this is not a universal ordering. The delay laws are assumed, not measured. The zero-delay atom, voltage-filter assumption, missing fits and selected slice circuits limit biological use. Original code, aggregate findings, synthetic cases, source hashes and external-data retrieval instructions support reproduction. No external record tables are bundled.

Allen Institute · feedback stability · distributed delay · moment matching · circuit models · reproducibility