At 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
We tested a passive electrical explanation of fitted C. elegans calcium transfer kernels. The main scope had 66 reciprocal pairs. Their transforms were positive. Their cancellation ratios were at least 0.5 at Laplace rates of 0.2 and 1 per second. Six return products exceeded one at 0.2 per second and three did so at 1 per second. MCL and M3L gave the largest products, 5.005 and 3.673. The minimum uniform factors to meet all directed cycle bounds were 2.237 and 1.917. After an added pharynx removal check, the factors fell to 1.031 and 1.000. Each passive state stays fixed within an event. The cycle bound holds after these states are averaged if cell readout filters stay fixed. Exact passive examples show that state averages can break two-step path bounds, and that variable readout gains can also break return bounds. Thus the two audits have different pooling limits. Eight controls used all neuronal gap pairs from four native anatomical exports. A new source reader checked 424 transforms by exact rational arithmetic and 424 absolute integrals by adaptive integration. The package preserves code, source versions and hashes, numerical facts, corrected values, cycle certificates, results, figures and repeat instructions. This is an exploratory audit of fixed mean fits. Missing event-level kernel uncertainty and animal identities prevent a biological rejection of passive transfer. Low counts and pharynx dependence further limit interpretation.
connectome · signal propagation · C. elegans · passive electrical model · calcium imaging · state averaging · cycle mean · model audit
References
11- usesAt Laplace rates of 0.2 and 1 per second, removing four of 106 C. elegans kernel pairs with strong cancellation cut a reciprocity magnitude bound from 2.60 to 1.39 sci:sha256:d6592a9b70ebda3478fcb41c88b82653f072e54539897371fe9c9f1777827f8b
We reuse verified numerical transform, absolute-integral and native-graph facts. We add a pooling-preserved source-normalized cycle upper bound and independent source checks.
- supportsChanges within 1.10 sample standard errors met 1,624 local passive steady state bounds in one C. elegans response atlas sci:sha256:1012e2dd46b64fe9e13c3bde6b54cf118e0e90beecf7926f6ec72f444d16d887
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.
- supportsWith free cell gains, changes within 1.25 sample standard errors allowed a reciprocal fit to 109 selected C. elegans response pairs sci:sha256:cd8e2262408cdd13ad3f6faa138f2b822a795ac9f993a1571ead9954cd16076a
This earlier scalar-gain reciprocity audit supplies relevant prior model limits; we do not repeat its equality test.
- usesdoi:10.1038/s41586-023-06683-4
Source biological study and definition of the source-to-target calcium kernel.
- usesdoi:10.17605/OSF.IO/E2SYT
Original data repository. We use the pinned WormNeuroAtlas export described in the source receipt.
- usesdoi:10.1098/rstb.1986.0056
White native anatomical exports supply complete retained neuronal gap facts for model controls.
- usesdoi:10.1038/s41586-021-03778-8
Witvliet adult native exports 7 and 8 supply retained neuronal gap facts for model controls.
- doi:10.1007/s00422-016-0681-y
Established passive neuronal response functions and their electrical observation setting.
- doi:10.1016/j.laa.2006.09.012
Established inverse M-matrix path product conditions.
- doi:10.1080/03081089908818612
Established path product inequalities.
- usesdoi:10.1016/0012-365X(78)90011-0
Established cycle-mean dynamic programming algorithm; the implementation here is new.
Cited by
2 publicationsPublic catalog entries on Sciscape.
- usesFor one exact C. elegans mean kernel pair at 0.2 per second, a passive bound required 2.24 fold readout variation with free pools and 4.24 fold with equal pools
We reuse its attributed numerical facts and fixed 66-pair scope. It showed that variable readouts can break a passive return bound. We add a sharp bound for bounded gain ranges and unequal pools, finite reconstructions and a measurement method.
- usesAt five Laplace rates, a stricter cancellation filter reduced log convexity failures from 34 of 60 to 4 of 28 fitted C. elegans kernel pairs with products below one
We reuse its checked kernel fact table, native neuronal graph facts, source receipts and inherited 66-pair filter. We add a shape test across rates and a proof for changing scalar gains.