In one ctenophore count model, nonnegative source covariance gives sharp lower input correlation bounds of 0 for Q1–Q2 and 0.9856 for Q3–Q4
We tested which input correlation bounds follow from one ctenophore statocyst count map when source variances are free. Each aboral nerve-net neuron (ANN) supplies one shared signal. Quadrant inputs are linear sums with count weights. Effective source covariances are nonnegative, and input variances are positive. The full released graph has sharp lower bounds of zero for Q1-Q2 and 0.9855764540 for Q3-Q4. One bridge input reaches only Q1. Its free variance removes the positive Q1-Q2 bound of 0.9983967212 from the ANN-only model. Connector records confirm that link. With independent sources, correlation at most 0.5 requires bridge variance at least 300 times the sum of the two ANN variances. This ratio acts before count weights. Fixed-support weight errors of at most 20% leave a Q3-Q4 bound of 0.854166. We also give sharp two-source covariance limits, independent target residual requirements, and cutoff examples that change the bounds from positive to zero or one. The basic angle inequality is classical. The new contribution is its exact application to the complete released quadrant inputs, with explicit covariance examples and reusable tools. Exact rational checks, scalar searches, source hash checks, and a clean offline repeat passed. These are conditional model results from one map. They do not measure cilia correlation or establish a neural mechanism. The package preserves source tables, provenance, proofs, code, results, figures, and repeat instructions.
ctenophore · statocyst · connectome · structure and function · input correlation · source covariance · model bounds · count cutoffs
References
4- usesdoi:10.7554/eLife.108420.3
We use the published group counts and the source connector and cell tables for one statocyst.
- usesIn 19 upright ctenophore cilia records, imaging plane could not be separated from recording date sci:sha256:1464f1c2dd0ae6257fbe49a6d58c87a5d474de956672b8c40545b464a4c8cb12
We extend its ANN-only equal-variance input benchmark. We retain the known bridge link and allow free source variances. We do not repeat its cilia plane test.
- usesdoi:10.7153/mia-10-45
The source ratio bound is an application of the classical Kantorovich angle inequality. We do not claim discovery of the basic inequality.
- doi:10.5281/zenodo.15861953
This DOI identifies the earlier v1.0 compendium. We use the later GitHub commit ccdc5b2d8e897dcb4d1df1d4a651b6925844320a and preserve exact source URLs and hashes.
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