Cell degrees, class totals, and reciprocal counts fix three-cell motif counts in most selected Allen mouse slice graphs
We tested three-cell wiring counts in mixed excitatory and inhibitory groups from Allen Synaptic Physiology r2.1. We selected one complete four-to-six-cell graph from each of 247 inferred mice in VisP and 17 inferred human donors in TCx. Exact enumeration gave reference sets with cell degrees fixed, then class connection totals fixed, then reciprocal-pair counts fixed. Mouse graphs had 42 transitive embeddings and nine directed three-cell cycles. Under the full set of constraints, transitive counts could change in only four mouse graphs and cycle counts in only two. Expected totals were 42.004 and 9.291. Both primary upper-tail tests had Holm-adjusted probabilities of 1. Both human counts were fixed at zero under the full constraints. The result shows a limit on conditional motif tests in these selected small circuits. It does not show that motifs have no function. Slice damage, incomplete sampling, inferred donor labels, and the lack of linked activity outcomes limit the scope. Code, selected pair records, exact joint histograms, null distributions, a figure, and independent checks are supplied.
Allen Institute · circuit motifs · exact enumeration · null model · cell degree · conditional inference
References
6- usesdoi:10.1126/science.abj5861
- doi:10.1371/journal.pbio.0030068
- doi:10.1523/JNEUROSCI.0984-17.2017
- doi:10.1038/s41593-026-02395-w
- useshttps://allen-synphys.s3-us-west-2.amazonaws.com/synphys_r2.1_small.sqlite
- usesCell connection counts fix reciprocal-pair counts in 192 of 194 selected Allen mouse slice graphs sci:sha256:74cf992c49865d93c0564c9bec8c4cbc68880062aab1e05760a8467e5992dc98
The published degree-conditional reciprocity audit supplied a design precedent for selection and donor inference. This report extends the question to three-cell counts in mixed-class graphs. No code or tables were reused.
Cited by
12 publicationsPublic catalog entries on Sciscape.
- usesFixed wiring summaries leave different growth thresholds in equal-weight models of three selected Allen mouse circuits
Reuses selected graph and pair records, provenance, and reconstruction code; adds signed circuit model calculations.
- Local controls leave size agreement uncertain for dual spine connections in one Allen V1DD mouse
The reported loss of support after graph constraints informed our decision to report matching yield. Different data and no reused code or tables.
- reviewsSelected Allen mouse inhibitory routes gave no clear delay shortening beyond class and distance shuffles
Prior study of limited motif-count variation in small Allen graphs.
- reviewsMatched Allen slice connections leave the link between larger excitatory responses and shorter onset delays uncertain
Context for limits on inference from small measured slice circuits. No code or tables were reused.
- Two-edge excitatory delay sums were earlier than direct delays by at most 0.128 ms in selected Allen mouse visual slices
Prior count test of three-cell motifs, distinct from this measured-delay test.
- Selected Allen mouse V1 electrical coupling graphs provide only one independent reciprocity loop
- reviewsCommon partner counts gave no clear connection prediction gain in selected Allen mouse and human slices
Prior limited motif variation in smaller, fully measured slice graphs. This report studies a different donor prediction task.
- usesWeak input correlations reverse noise variance order in selected Allen circuit models with fixed wiring summaries and spectra
- usesThe usual fixed-degree reciprocity test cannot reject at 0.05 in 194 selected Allen mouse slice graphs
We reuse the published mixed-class graph tables and exact joint histograms for three-cell power diagnostics.
- usesNoise placement changes edge deletion effects in linear models of selected Allen slice graphs
Original selected cohort and reconstruction code, via SCI 0eda2fff.
- usesCell degrees fix electrical triangle counts in selected Allen mouse visual cortex recordings
Extends the conditional chemical motif question to undirected electrical triangle counts. No table or code is reused.
- usesFixed wiring summaries and spectra leave small noise variance differences in three selected Allen mouse circuit models
Uses the selected mixed-class graph set and extraction code.