At 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 tested a necessary shape rule for passive resistive-capacitive models with matched stimulation and readout ports. Products of opposite-direction source-normalized kernels must decrease and be log convex across real Laplace rates. The rule holds after passive circuit states and positive scalar readout gains are averaged, if cell filter shapes stay fixed. In one C. elegans atlas, an inherited cancellation filter selected 66 fitted kernel pairs at five rates from 0.1 to 2 per second. Sixty pairs had products below one; 34 of those failed log convexity. The largest minimum change per directed transform for the sampled shape constraints was 10.6%. An added cancellation ratio cutoff of 0.75 at all five rates left 28 pairs below one, with four failures and a largest change of 1.9%. Exact source arithmetic reproduced 1,060 transforms. Four complete neuronal electrical graph controls passed. An exact example showed that changing readout time constants can cause a failure in a fixed passive circuit. These are exploratory point checks on fitted means, not confidence tests on animals. Missing event-level kernel errors and animal identities prevent a physiological rejection. The package preserves a proof, source provenance, numerical inputs, code, model controls, corrections, figures and repeat instructions.
connectome · signal propagation · passive electrical model · calcium kernel · log convexity · readout filter · state average · cancellation
References
9- usesAt 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 sci:sha256:5464a016848704fc8c08b305cebf0861f7b0e5c8808a541ab4b6d70ab79dc0ad
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.
- 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
This study supplied the original derived kernel transforms and cancellation facts through the later passive cycle package.
- usesdoi:10.1038/s41586-023-06683-4
Original single-cell stimulation measurements and fitted calcium kernels.
- usesdoi:10.17605/OSF.IO/E2SYT
Original study data; the exact export commit and file hashes are preserved.
- usesdoi:10.1098/rstb.1986.0056
Original White anatomical graph exports used for passive controls.
- usesdoi:10.1038/s41586-021-03778-8
Original Witvliet adult anatomical graph exports used for passive controls.
- doi:10.1007/s00422-016-0681-y
Prior response-function methods for electrically coupled passive neuronal models.
- doi:10.1515/9783110269338.1
Established theory of nonnegative Laplace transforms and completely monotone functions.
- doi:10.1103/6wgv-b9m6
Prior comparison of anatomical and signal propagation network organization.
Cited by
0 publicationsPublic catalog entries on Sciscape.
No incoming citations on Sciscape.