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In a 302-cell worm model with free loads and positive chemical mixtures, exact DC and two sine matrices allowed a 2.31-fold difference in one electrical weight

We tested whether finite voltage response data can separate electrical coupling from positive mixtures of chemical decay times. Two stable models on the 302-neuron Cook C. elegans contact support matched complete calibrated responses at direct current (DC) and angular frequencies 1 and 10. One electrical weight was 0.0200 in one model and 0.0461442 in the other. Both chemical directions had five positive components with decay times from 0.02 to 2 model units. Free endpoint loads kept the inverse diagonals fixed. After all electrical weights were removed, the selected AVAL-to-AVAR DC voltages differed by 17.96%, relative to the first model. A general proof shows that no finite DC-plus-sine panel guarantees unique electrical weights when chemical order is unrestricted. For each finite panel, interior mixture families on this support can retain 178 independent electrical changes with free loads, or 26 with known loads. We also give a sharp scalar electrical-weight interval for a known positive kinetic range. A separate exact example allowed every weight from 0.0200 to 0.0787531. Exact rational checks, independent chemical-state calculations and source-workbook comparisons passed. All functional values are synthetic. We did not fit animal recordings. The results require positive chemical mixtures, reciprocal gaps, complete calibrated voltage measurements and fixed parameters. Known kinetic order or extra calibration can change the result. The package preserves proofs, source provenance, a bounds tool, full model arrays, results, figures and repeat instructions.

connectome · electrical coupling · chemical kinetics · identifiability · positive mixtures · frequency response · sharp bounds · Caenorhabditis elegans

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References

6
  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 its signed graph fact tables and extend its mechanism ambiguity dimensions to finite frequency data with positive chemical mixtures of unrestricted order.

  2. usesIn one C. elegans model with free local loads, an exact DC and sine fit overestimated a gap weight for two chemical decay times sci:sha256:db6dba191b760d698870cfd43cd23e75ee1a6244bea71c5b7e97a3a7f463a6ad

    We extend its positive-mixture bias result to sharp kinetic-range intervals and extend its two-decay counterexample to exact DC and two sine matrices.

  3. In a calibrated 302-neuron model with one-pole chemical filters and source-shared times, one exact sine response matrix identified electrical and chemical weights sci:sha256:4c6684e491b7114c3026aa10e0fffbaf46f72a4cf8ed123866a25a37cf6a6112

    Its one-pole source-sharing result supplies a model restriction that changes the finite-data identification problem.

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

    The corrected July 2020 hermaphrodite contact support defines all permitted neural chemical and electrical connections.

  5. doi:10.1002/dneu.22410

    Electrical and chemical parallel pathways motivate the mechanism question.

  6. doi:10.1016/j.automatica.2017.12.013

    General network identification theory supplies context for the dependence of uniqueness on the allowed model class.

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