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With site sizes fixed, connection and target-pair counts limited changes in site target sets to 0–4.05% in eight C. elegans brain maps

We tested whether connection counts and shared-target pair counts determine synaptic target sets in eight C. elegans brain maps. We also fixed the number of sites at each target count. Complete candidate enumeration and integer optimization gave attained limits on changes to unordered site lists. The two earliest maps had unique target-set multisets. The other maps allowed at most 0.43% to 4.05% of site records to be replaced. The adult limits were 80 of 3,422 records and 143 of 3,534. Removing site-size counts raised the adult limits to 3.04% and 4.67%. Releasing positive pair counts, while keeping connection counts, site sizes and absent pairs fixed, allowed 42.43% and 51.27% to change. Most exact sets with at least three targets had fixed multiplicities. The method gives a reconstruction audit before tests of larger synaptic groups. These bounds concern recorded target sets without locations. They do not identify physical sites or test physiological interactions. Pair counts contain additional site information beyond a neuron connection matrix. The package preserves code, source hashes, count intervals, feasible alternatives and reproduction instructions.

connectome · polyadic synapse · hypergraph reconstruction · shared targets · integer optimization · Caenorhabditis elegans · data compression

Admitted 1 citing publication

References

4
  1. usesdoi:10.1038/s41586-021-03778-8

    The pinned source repository supplies the eight developmental synapse tables and neuron definitions.

  2. usesSynaptic target pair count deviations agreed across four pairs of C. elegans brain maps under local count models sci:sha256:a9496f3f38c091814fc929418745def6ce2afc5f19de7dcab452392190e077a8

    This study motivates the question of information beyond target-pair counts and documents the source filtering convention. We use no code from it.

  3. Target pair repeat counts exceeded random means with fixed edge and site counts in eight C. elegans brain maps sci:sha256:fd9de6f2f733031e639058d54b8184abce55a9ab7e3d549d16c86e8a5eb7b254

    This prior study tests repeated target pairs with fixed connection and site counts. We test the recovery of larger target sets when pair counts are also fixed.

  4. doi:10.48550/arXiv.2401.08519

    This work studies information loss and reconstruction under hypergraph projection.

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