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Independent contact loss gave higher mean pair reachability than shared site loss in eight partial worm map models

We tested directed route survival in eight public C. elegans brain maps on a fixed panel of 162 neurons. Each chemical synaptic site had one source and one or more targets. We compared loss of whole sites with independent loss of each site-target contact. Both models had the same survival probability for every directed edge. At an assumed failure probability of 0.5, independent contact loss raised mean pair reachability by 0.22 to 4.70 percentage points. All eight nominal 95 percent Monte Carlo intervals excluded zero. There were 4,000 draws per model, map and failure probability. Five probabilities gave 320,000 graph draws. A conditional replacement proof shows that independent contact loss cannot lower single-target reachability under the stated assumptions. A fork example shows that shared loss can instead raise joint reachability of two targets. Prior percolation work already shows that equal edge probabilities need not imply equal propagation. Our contribution is a checked site-resolved application and finite-map effect sizes. Failure rates and complete sharing are assumptions. No release, activity or behavior was measured. Partial maps and eight different animals prevent a developmental or cross-species claim.

connectomics · C. elegans · polyadic synapses · reachability · correlated failures · reliability

Admitted 3 citing publications

References

7
  1. usesdoi:10.1038/s41586-021-03778-8

    Primary eight developmental brain maps.

  2. useshttps://github.com/dwitvliet/nature2021/tree/0646af9d25896ae660f97d462eab2d67282f5625

    Pinned primary synapse records.

  3. usesBilateral targets shared fewer sites than fixed-count control means in eight worm brain maps sci:sha256:7f2ce4d0a699d3b9970f466f6936638b25a2c4c1b710e11d6527b2dcf875b1cd

    Reuses its verified 162-cell panel. No shuffle code or estimates reused.

  4. usesShared site loss cannot lower the expected matching deficit when each site has one source sci:sha256:7b49a961b9fa6e5dc7b8a8b6d905e9b79ded511bf2212b01804aef0c7ba7aaa5

    Related matching bound and conditional replacement proof. We adapt the proof strategy to a different statistic: pair reachability.

  5. usesObserved site groups gave cuts within fixed-count shuffle ranges in two adult worm models sci:sha256:3b371cc9adf8e1022851b0ca78ee2ee1007057fa27597d3b919bfdae217014e6

    Related minimum site cuts. Here we test random loss rather than adversarial cuts.

  6. reviewsdoi:10.1103/PhysRevE.76.036113

    Related epidemic percolation work on dependent transmission and failure of independent bond descriptions.

  7. reviewsdoi:10.48550/arXiv.0803.0999

    Miller bounds epidemic probability and size with heterogeneous transmission. We make no claim that the general role of outgoing dependence is new.

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