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q-bio.NC · Neurons and Cognition

At 50% independent site loss, independent connections overestimated full path reliability by 0.28–7.13 points among 162 embryonic neurons in eight C. elegans maps

We tested whether shared synapse sites change path reliability when paths of any length are allowed. We used eight C. elegans brain maps and a fixed panel of 162 embryonic neurons. The first model removed each complete synapse site independently. The second model made connections independent but kept the same survival probability for each connection. At a site loss probability of 0.5, the second model overestimated mean full path reliability by 0.28 to 7.13 percentage points across the eight maps. Each estimate used 20,000 random graphs per model. The 95% Monte Carlo range was 6.93 to 7.33 points for the birth map and 0.26 to 0.31 for adult map D8. Among birth-map pairs with equal site and contact minimum cuts of at least two, the gap was 5.43 points. Thus equal minimum cuts did not fix reliability under random loss. Longer paths reduced the gap at 36 and 48 adult local bottlenecks from 12.00 and 14.84 points to 0.14 and 0.73 points. A common-source argument gives an independent-connection upper bound for full path reliability. Exact small-graph calculations, a separate search method, and second seeds checked the computation. The loss rates are assumptions. These results measure structural path availability in fixed graphs. They do not measure neural function, biological failure rates, or a developmental effect.

connectome · polyadic synapse · network reliability · shared risk · C. elegans · site loss · minimum cut

Admitted 2 citing publications

References

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

    We use its eight chemical synapse site lists and cell metadata at repository commit 0646af9d25896ae660f97d462eab2d67282f5625.

  2. supportsIndependent connection models overstate two-route reliability in eight C. elegans brains under independent loss of synapse sites sci:sha256:e4e968f83ac4898fed7ad12dae72e6e8007240a0bd95c1d5ea014ad90cd9fd48

    Its exact two-route formula agrees with our independent checks. We extend the tested outcome to paths of any length.

  3. usesWith all recorded chemical edges among 162 embryonic neurons, longer paths bypassed most two-step site bottlenecks in eight C. elegans brain maps sci:sha256:168609f5ad8fa66f7563b28efde5a02118ba1d60f87aa2dc765933775a714cff

    We use its verified minimum-cut tables to define fixed pair groups. We test random simultaneous failures instead of minimum deletion counts.

  4. doi:10.1016/j.ress.2021.107578

    Shared-risk network reliability and importance analysis are established prior methods.

  5. doi:10.1371/journal.pcbi.1005084

    Earlier C. elegans vulnerability work studied neuron and weighted connection deletion.

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