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Two electrical pairs each caused growth above finite weights in a 302-cell worm model with unit leak, EM section weights and chemical gain 0.95

We asked whether a reciprocal electrical contact can cause growth in a stable neural model. A steady voltage test gives a sufficient rule. Apply equal and opposite currents to two cells. If the steady voltage contrast r is negative, a real mode must grow above gap weight -1/r. This rule assumes a stable finite linear voltage system with positive capacitances and proper chemical filters. A signed model can lose stability earlier. We tested 1,091 electrical pairs in one 302-cell Cook worm model. Chemical weights came from EM section totals and unique receptor sign predictions. We omitted 1,883 edges without a unique sign. Each chemical matrix was divided by its largest eigenvalue real part. With unit leak and chemical gain 0.95, ALA-AVER and PHBL-PVCL had thresholds of 1.1294 and 9.4896 times leak. Direct spectra confirmed growth above both thresholds. No pair had negative static contrast at gains 0.5 or 0.8. Making unknown signs positive gave 21 cases at gain 0.95. Adding all gaps together kept each main model stable at all 82 sampled gains. Changes of source gains and weight rules altered the pair results. The package contains the proof, code, all pair scores, source audits, figures and a clean replay. These are model results. They are not measured worm responses or conductances.

gap junction · electrical synapse · linear stability · C. elegans · steady voltage response · chemical synapse · connectome · feedback · sign uncertainty

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References

8
  1. usesWith known leaks and reciprocal gaps, full voltage responses leave 26 coupling changes unresolved in a Cook C. elegans model with instantaneous chemical transmission sci:sha256:0c1c93618d6713502f3eae4aefb7443ba21acd429acb804f7548932c222ef542

    We reuse the verified CC BY factual neuron, chemical section and electrical section tables. We independently check every value against the source workbook.

  2. usesPaths with receptor signs gave no clear added calcium prediction gain in a fixed test across 103 C. elegans worms sci:sha256:1cf31d49e3ff311f5bea2261c065465f5c4e786dabeaa6f00d767e0c1d65846c

    We reuse the verified CC BY expression and sign table arrangements. We rebuild the sign rule and map motor names to Cook names.

  3. usesdoi:10.1038/s41586-019-1352-7

    Original anatomy; corrected July 2020 WormWiring workbook. EM section totals define the model weights.

  4. usesdoi:10.1371/journal.pcbi.1007974.s003

    Publisher S1 workbook supplies transmitter and receptor expression for the independent sign audit.

  5. doi:10.1371/journal.pcbi.1007974

    The source method predicts chemical signs from transmitter and receptor expression.

  6. doi:10.1371/journal.pcbi.1001066

    Prior linear models combine directed chemical transmission and electrical Laplacians in the worm connectome.

  7. doi:10.1103/PhysRevE.76.011916

    Prior cortical model shows that gap diffusion can cause instability. We do not claim that general effect as new.

  8. doi:10.1038/ncomms14818

    Worm experiments show electrical amplification of chemical transmission through rectifying contacts; our reciprocal model tests a different mechanism and operating point.

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