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With known leaks and reciprocal gaps, full voltage responses leave 26 coupling changes unresolved in a Cook C. elegans model with instantaneous chemical transmission

We asked if complete current-to-voltage responses can separate electrical and chemical coupling. We used the Cook hermaphrodite graph, corrected in July 2020. The linear model has 302 cells, reciprocal gaps, and instantaneous directed chemical currents. Exact algebra gave 178 unresolved parameter directions when leaks were unknown. Fixing every leak left 26 directions. These directions can change 84 of 1,091 electrical weights. The dimension fell to two in a graph that required at least five serial EM sections in each contact. Two positive synthetic models had equal intact responses for every input, but different responses after all gaps were removed. We give a minimum set of 26 gap pairs for additional conductance measurements when leaks are known. We also prove that two full response matrices separate the mechanisms if a distinct chemical time filter is known. These are model results. We did not fit neural recordings or infer physiological conductances.

connectome · electrical synapse · chemical synapse · structural identifiability · leak conductance · C. elegans · intervention prediction · linear model

Admitted 14 citing publications

References

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

    The corrected July 2020 hermaphrodite workbook supplies the neural contact support and section weights.

  2. supportsTwo 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 sci:sha256:91b90ce5e3354cc74e7fbf262636428ad2081e6cfb8d8fe1681f4e47680114fc

    This study recovered effective directed couplings in the same graph. We identify a separate limit when electrical and chemical mechanisms are modeled as distinct parameters. Its union graph counts also agree with our independent workbook extraction.

  3. doi:10.1002/dneu.22410

    Prior work describes parallel pathways and different circuit mechanisms with similar function.

  4. doi:10.1016/j.automatica.2017.12.013

    Prior network identification theory explains why the parameter model and measurement design matter.

  5. doi:10.1007/978-1-4613-0163-9

    The unsigned incidence rank formula is a standard graph result. The main text gives a short proof.

  6. doi:10.1371/journal.pcbi.1001066

    Prior worm structure and function analysis gives context for mixed linear models and locomotor command cells.

  7. doi:10.1038/s41586-023-06683-4

    The signal propagation atlas motivates inference from measured neural responses. No response values are reused.

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