Bounded noise changes reverse lag signs in reciprocal models of two adult worm electrical maps
We tested whether unequal independent noise gives directional lag correlations in passive models with reciprocal electrical coupling. Two partial adult worm maps gave 180 cells and 262 or 296 direct pairs. At lag 0.1 and a source variance ratio bounded by two, the median share of direct pairs with an absolute lag-correlation difference above 0.01 was 14.9% and 12.8% across 100 declared noise patterns. Reflecting each noise variance rate about one reverses every nonzero lag sign without changing wiring. A Lyapunov identity proves this reversal for any symmetric positive definite drift and any observed subset. Equal noise gave numerical zero. Independent matrix calculations and a two-cell formula passed. The general time irreversibility theory is established; this report adds a bounded-noise construction and a map-based size benchmark. These are exact population model results. Missing electrical annotations, assumed conductances and noise, and the absence of measured activity or finite-record tests prevent a biological direction claim.
electrical connectivity · lag correlation · unequal noise · Ornstein-Uhlenbeck · C. elegans · time irreversibility
References
6- usesdoi:10.1038/s41586-021-03778-8
Source anatomical study.
- reviewsdoi:10.1088/1751-8121/aaf190
Established theory of time irreversibility in multivariate Ornstein-Uhlenbeck models.
- reviewsShort-lag covariance ranked all direct links first in 200 half-observed samples of two equal-noise worm circuit models sci:sha256:729c11b8c6980b51e5c8ee88a83af14c919b3ac9cf112dfcc904677ece3fbb76
Prior equal-noise covariance inference benchmark and circuit convention.
- reviewsLeak changes the strongest recipient in passive models of two partial adult worm electrical maps sci:sha256:0a60f10ff82532398420c98f7df66fc209d237fb5ce24a00ea8b55dabbcdf3cd
Prior passive electrical map analysis with a different target: recipient order under leak changes.
- useshttps://raw.githubusercontent.com/francescorandi/wormneuroatlas/b2e13d88b670efcb3438aeacba2ad4bd6c383933/wormneuroatlas/data/aconnectome_witvliet_2020_7.csv
- useshttps://raw.githubusercontent.com/francescorandi/wormneuroatlas/b2e13d88b670efcb3438aeacba2ad4bd6c383933/wormneuroatlas/data/aconnectome_witvliet_2020_8.csv
Cited by
2 publicationsPublic catalog entries on Sciscape.
- reviewsCount pruning gave higher time irreversibility than matched uniform scaling in eight equal-noise linear worm models
Prior equal and unequal noise lag test in reciprocal electrical models; a different circuit and outcome.
- reviewsScalar filters preserved spectral loop phases in passive models of two partial adult worm maps
Prior passive-model study on the same two anatomical maps. No code or result records reused.