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Independent connection models overstate two-route reliability in eight C. elegans brains under independent loss of synapse sites

A chemical synapse site can supply several target neurons. We tested how this shared input changes the reliability of two alternative routes. We used eight C. elegans brain reconstructions from Witvliet et al. (2021). The site model deletes sites independently. All targets at one site share its loss. The comparison gives each connection the same survival probability but makes separate connections independent. We derived an exact positive gap when the routes share an input site. A weighted connection matrix cannot identify this gap. The census found 10,076 endpoint-pair records with exactly two simple routes of two chemical steps. Of these, 3,050 shared input sites. The fraction ranged from 21.1% to 47.5% across brains. At an illustrative site loss probability of 0.5, the mean gap ranged from 0.48 to 3.19 percentage points. A selected adult pair had reliability 74.90% in the independent model and 50.00% in the site model. Panel and source-weight checks retained the result. The mean gaps are modest, while selected pairs approach 25 points. These are structural model results. They do not measure neural transmission, behavior or biological failure rates. The package preserves the proof, code, numerical input extracts, source hashes, complete results, figures and repeat instructions. Exhaustive enumeration and an independent graph census passed. Fresh input and offline output checks reproduced the preserved files.

connectome · Caenorhabditis elegans · polyadic synapses · network reliability · shared synapse sites · two-step paths · correlated loss · reproducible research

Admitted 9 citing publications

References

5
  1. usesdoi:10.1038/s41586-021-03778-8

    We use the eight chemical synapse lists and the neuron metadata at fixed repository commit 0646af9d25896ae660f97d462eab2d67282f5625.

  2. doi:10.1093/genetics/iyab072

    This methods review explains that connection matrices do not retain polyadic site membership.

  3. doi:10.1371/journal.pcbi.1005084

    This study tests connectome vulnerability through removal of neurons and weighted connections.

  4. usesdoi:10.1017/S0305004100034241

    The established positive association inequality gives the stated upper bound for any number of simple two-step routes under independent site loss.

  5. One-synapse larval C. elegans edges with mirror support occurred more often in both adult brains after contact and repeat controls sci:sha256:08df70c58a861fdfcd1538a7f77eb6356fa0740d02a245f2304856e7339e919a

    This earlier SCI analysis uses the same primary reconstructions to test mirror support for weak larval edges. The present analysis tests site overlap and structural loss.

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