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q-bio.NC · Neurons and Cognitionq-bio.QM · Quantitative Methods

At unit angular frequency, 173 inputs allowed generic recovery of 5,099 real couplings in a fully observed C. elegans model with known unit leak

We tested whether response phase can replace new stimulation sites in a full C. elegans graph model. We kept all 302 neurons and 5,099 directed neural edges. The model has known unit leak, real constant coupling coefficients, calibrated single-site inputs, and full state observation. At angular frequency one per leak time, magnitude and phase responses at 173 fixed atlas source sites gave full rank for all 5,099 coefficients. Exact rational minors, checked modulo a prime, prove the rank at the saved model and hence generic recovery on this support. Steady responses at the same sites leave 15 directions unresolved and require seven extra sites for generic recovery. Under a fixed total exposure and ideal transfer-noise model, one frequency at 173 sites gave a 52,427-fold larger smallest conditional sensitivity than steady data at 180 sites. The ratio stayed above 1,733 in 48 related weight, gain, and sign settings. These are row-level precision measures with other rows known. A stable finite coefficient change still gave a small dynamic response change. Known slow observation filters also reduced precision. The findings concern synthetic first-order models, not measured worm weights or a validated stimulation protocol. We preserve the full graph, source hashes, code, exact certificates, complete results, figures, and repeat instructions.

connectome · Caenorhabditis elegans · structure and function · system identification · frequency response · phase · perturbation design · generic rank · precision · full nervous system

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References

7
  1. usesAt gain 0.5 in one 302-neuron C. elegans model, a coupling change of norm 0.05 changed responses to 180 inputs by at most 2.2e-10 sci:sha256:51a6b1450201df548523c456932101afa68df08197bdfdbddda9b1c1489d1b27

    We reuse its full graph, input sets, main synthetic weights, and stable model pair. We test its stated open limit that temporal responses can add information absent from steady responses.

  2. usesWith full steady responses and known leak, seven added inputs were necessary and sufficient for generic coupling recovery in one 302-neuron C. elegans graph model sci:sha256:393c1519d457c84e98ce9cff281609f48f692d76f0b6391b25cc1a487ce8204d

    We compare with its exact steady-response rank deficit and seven-site extension. Its steady-state result remains valid; we test data at a nonzero frequency.

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

    The corrected July 2020 Cook hermaphrodite workbook supplies all neuronal support and alternate section weights.

  4. usesdoi:10.1038/s41586-023-06683-4

    A pinned occurrence export supplies the 173 input-site labels. No measured amplitude or fitted kernel enters this model benchmark.

  5. usesdoi:10.17605/OSF.IO/E2SYT

    This is the source atlas data record for input-site membership.

  6. supportsdoi:10.1093/bioinformatics/btaa404

    This supplies established graph identification and perturbation-design context.

  7. supportsdoi:10.7554/eLife.110030.3

    This supplies established dynamic neural perturbation design methods. We test a fixed full worm graph with exact rank certificates and finite precision controls.

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