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With equal leak and unit normalized gap gain, bilateral pooling reduced input power by up to 12.33% and 14.57% in two passive C. elegans nerve ring models

We tested whether combining bilateral neuron pairs preserves steady response in two passive C. elegans nerve ring models. Each graph kept 175 reference neurons from the Brittin et al. JSH and N2U source maps. We pooled 80 left-right pairs into 95 groups. Every neuron had unit leak. Gap weights were symmetric record counts divided by the median positive neuron degree. At unit normalized gap gain, the largest fractional loss of steady input power was 12.33% in JSH and 14.57% in N2U. This maximum permits signed group currents. The largest self-response losses were 9.02% and 10.83%. Pooling only pairs with electrical records on both sides still gave largest power losses of 12.28% and 14.57%. An established Schur complement gave the exact correction for omitted voltage differences. A spectral rule selected corrections of rank 9 and 15. Their certified power errors were below 5%. Binary weights, section weights, source-name aliases and repeated continuation IDs supplied sensitivity checks. Mirror averaging made pooling exact. Independent readers and mathematical checks passed. A clean run reproduced the saved results and figures. The contribution is a measured reduction audit, reusable certificate code and compact data. The result applies to these fixed passive models. It does not estimate actual gap conductance or neural activity. The package preserves code, source provenance, input records, model matrices, proofs, results and repeat instructions.

C. elegans · connectome · gap junction · bilateral pooling · passive electrical model · Schur complement · model reduction · error certificate

Admitted 2 citing publications

References

8
  1. usesdoi:10.5281/zenodo.4383277

    Version 1.0.0 supplies the unchanged JSH and N2U source SQL databases.

  2. usesdoi:10.1038/s41586-021-03284-x

    This study supplies the nerve ring data and the reference neuron scope.

  3. usesdoi:10.1098/rstb.1986.0056

    The source reconstructions come from this electron microscopy work.

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

    The source dataset credits this later synapse annotation work.

  5. usesdoi:10.1109/TCNS.2014.2311883

    Established graph partition reduction and invariant group conditions support the method.

  6. usesdoi:10.1109/TCSI.2012.2215780

    Established electrical Schur complement reduction supports the exact steady reference.

  7. doi:10.1038/s41467-019-12675-8

    Prior work links worm connectome symmetry with circuit structure.

  8. Combining left and right neurons gave unsupported two-step chemical routes among 162 embryonic neurons in eight C. elegans brain maps sci:sha256:cda9ce7e66e433a33d24ffa8906f2c55ab57a5f3fb68d013158c1741572511c2

    This earlier SCI study measured chemical route changes after bilateral pooling. We test steady electrical response in different source maps.

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