With 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
We tested generic recovery of directed coefficients from ideal full steady responses in a 302-neuron C. elegans graph model. We used all positive neural chemical and electrical entries in the Cook July 2020 map and 173 input labels from a pinned wild-type signal atlas. Each combined edge had one independent free coefficient. Leak and input strengths were known. The 5,099-edge graph was fully reachable from the input set, but its responses left 15 independent coefficient changes unresolved in six target rows. A seven-input extension removed all ambiguity. A graph rank proof shows that at least two added inputs must be in {CANL, CANR, PVDL, PVDR}, while at least five must be outside this set. Thus seven is the minimum under the model. We preserve the input panel, per-edge results, proof checks, source provenance, code and figures. A stable pair of synthetic models gives identical starting responses and different responses to a new input. The result assumes complete noiseless state measurements, known leak, and independent directed weights. It does not establish recovery from measured calcium data.
connectome · C. elegans · identifiability · input selection · steady state · graph rank · structure and function · whole nervous system
References
8- usesdoi:10.1038/s41586-023-06683-4
The pinned WormNeuroAtlas wild-type occurrence matrix defines the starting input labels. No response amplitudes are fitted.
- usesdoi:10.17605/OSF.IO/E2SYT
Original signal propagation atlas data record. The exact export commit and checksum are preserved.
- usesdoi:10.1038/s41586-019-1352-7
The July 2020 corrected hermaphrodite workbook supplies the complete neural chemical and gap support.
- usesdoi:10.1109/TAC.2021.3053540
Established generic rank and vertex-disjoint-path conditions motivate the exact graph test and input placement.
- usesdoi:10.1098/rstb.1986.0056
The pinned whole-neuron White export supplies a planned graph sensitivity check.
- doi:10.1101/2024.09.22.614271
Connectome-constrained time-series fitting motivates a separate test of steady-response parameter uniqueness. We do not test this fitted model.
- usesNeuron wiring profiles reduced ridge prediction error by 5.44% in a fixed test of 6,270 C. elegans atlas responses sci:sha256:82205b10c90963e96ba501cad1ac1abbfd2de6ce626ff95dc6c2fbf361413e21
Its verified graph export supplies an independent check of all four binary graph arrays. No source code is copied.
- doi:10.1523/JNEUROSCI.05-04-00956.1985
Experimental circuit work links AVA to backward locomotion and gives functional context for the two large deficient rows.
Cited by
3 publicationsPublic catalog entries on Sciscape.
- 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
We use its seven added input labels and test its stated limit that generic full rank does not ensure precision. We check our graph and input labels against its signed export.
- usesTwo full response matrices at Laplace rates 0 and 1 gave unique coupling recovery for generic weights in a 302-neuron C. elegans model with known unit leak
We reuse its graph reader, static rank method and input sets. We extend its steady response test to two rate summaries.
- usesAt 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 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.