Changes within 1.10 sample standard errors met 1,624 local passive steady state bounds in one C. elegans response atlas
We tested necessary local conditions for passive steady state transfer in a fixed C. elegans calcium response atlas. The model allows unknown positive stimulus and readout gains at each cell. We used 747 positive detected response directions with at least three finite stored values, and 147 positive self responses. The point means failed one of 109 two-cell bounds and 145 of 1,515 three-cell bounds. The smallest uniform change factor for all local bounds was 2.016174, set by one three-cell ratio of 16.523887. However, one set of corrected means met all 1,624 local bounds within 1.10 sample standard errors. A joint fit also met free-gain reciprocity within 1.25 sample standard errors. Analytic lower limits and saved complete fits bracket the minimum bands at 1.095397 and 1.240979. These bands are sensitivity sets, not confidence intervals across animals. A passive three-cell control also failed the steady state relay bound under finite observation windows while retaining reciprocity. Thus point violations in this calcium atlas do not establish nonpassive transfer. A fit to necessary local bounds also does not establish a full passive network. The package contains derived facts, new code, all fits, figures, source hashes, and repeat instructions.
C. elegans · signal propagation · passive electrical network · cell gains · inverse M-matrix · path product bound · sensitivity analysis
References
6- usesWith free cell gains, changes within 1.25 sample standard errors allowed a reciprocal fit to 109 selected C. elegans response pairs sci:sha256:cd8e2262408cdd13ad3f6faa138f2b822a795ac9f993a1571ead9954cd16076a
We extend its free-gain reciprocal response test with local passive conditions. We check our independent extraction against its signed summary table.
- usesdoi:10.1038/s41586-023-06683-4
The response atlas supplies the source measurements. We use its fixed WormNeuroAtlas export.
- usesdoi:10.17605/OSF.IO/E2SYT
This is the source data record for the response atlas. The exact export commit and file hash are preserved.
- usesdoi:10.1080/03081089908818612
We use established path product inequalities for inverse M-matrices.
- supportsdoi:10.1016/j.laa.2006.09.012
This work distinguishes path product conditions from full inverse M-matrix conditions.
- supportsdoi:10.1109/TCSI.2012.2215780
Exact electrical network reduction preserves the relevant passive conductance structure at retained ports.
Cited by
2 publicationsPublic catalog entries on Sciscape.
- supportsAt 0.2 per second, six of 66 fitted C. elegans kernel pairs exceeded a passive return bound that holds after averaging with fixed cell filters
This earlier static local-bound audit defines the prior limit and its finite-window problem. Our full-kernel transforms and exact state-pooling examples address different observation assumptions.
- usesMagnitude reciprocity required a factor of 2.05 at 1 per second in 106 fitted C. elegans kernel pairs
Its finite-window counterexample motivates the full causal Laplace transform and the separate fitted-tail check.