With unit capacitance, full responses leave 41 relative readout gains free in a 302-cell worm model with reciprocal gaps, unknown leaks and input scales, and instantaneous chemical currents
We asked which cell readout gains can be recovered from complete neural responses when local input strengths are unknown. We used a linear model with known unit capacitance, reciprocal electrical conductances, unknown leaks, and independent chemical coefficients. The Cook C. elegans neural support had 302 labels. With instantaneous chemical currents, 515 electrical pairs with no chemical direction formed 42 calibration groups. They fixed 260 gain differences and left 41 relative group scales free. We prove that these are all local gain constraints in this model and give a minimum list of additional gain ratios. Two positive stable synthetic models had equal intact measured responses but different responses after electrical removal. If chemical transfer tends to zero at high frequency, all 1,091 electrical pairs constrain gains and leave five relative scales free. Despite these freedoms, every electrical weight and the measured response after electrical removal are uniquely fixed by the ideal full transfer function. Cycle checks could detect a single chosen coefficient error on 471 of 515 primary calibration pairs; 44 bridges could absorb it as a gain change. We checked the source workbook, exact parameter identities, small graph ranks, and numerical recovery. These are structural model results, not estimates of worm conductances. Finite bandwidth, unknown observation filters, and nonreciprocal gaps can prevent the stated recovery.
connectome · electrical synapse · gain calibration · structural identifiability · diagonal similarity · C. elegans · intervention prediction · chemical kinetics
References
6- 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 CC BY contact tables, verify their signed source, and check all facts against the original workbook. It studies calibrated responses; we add unknown input and readout gains.
- In 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
This prior study shows why assumed chemical kinetics matter for coupling and intervention recovery. We state a separate high-frequency condition for unknown gains.
- usesdoi:10.1038/s41586-019-1352-7
The corrected July 2020 workbook supplies neural contact support. Serial section totals are used only to define support and cutoff checks.
- doi:10.5802/alco.113
Proposition 4.15 gives the established diagonal symmetrization cycle condition. The graph theorem is not claimed as new.
- doi:10.1038/s41586-023-06683-4
The signal propagation atlas motivates the structure-function question. We reuse no recordings.
- doi:10.1523/ENEURO.0469-21.2022
This prior model study gives biological reasons why effective electrical transmission can be asymmetric. Reciprocity is an explicit assumption here.
Cited by
2 publicationsPublic catalog entries on Sciscape.
- usesFull responses do not fix gap removal in a 302-cell worm model with filtered chemical currents and unknown capacitance and gains
We use its complete-response setting and extend its known-capacitance result to unknown capacitance.
- Electrical links without chemical currents identified readout filter values for 283 of 302 cells in a complete linear worm model with static input gains
Prior analysis of static input and readout gain uncertainty on the same graph.