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Matched noise preserved covariance and zero-frequency power in passive models of two partial adult worm maps

We tested spontaneous fluctuations in reduced passive electrical models of two partial adult C. elegans connectomes. Each model had 180 neurons and retained ten named locomotion neurons. Equal independent white current noise was the primary assumption. A capacitance correction alone caused 10.44% and 9.31% stationary covariance error at the primary coupling scale. A matching noise correction preserved covariance and zero-frequency power exactly. At dimensionless angular frequency 0.1, it reduced spectrum error from 8.94% to 0.087% and from 8.01% to 0.083%, relative to static reduction. Static reduction also preserved covariance exactly and had less spectrum error at frequency 1. The joint correction preserved zero-frequency power when hidden noise strength changed, but exact covariance then failed. We derive the identities and provide code, curves, matrices and independent checks of 72 model cases. These are model results, not measured neural activity. Partial electrical annotations, assumed membrane and noise parameters, and one retained circuit limit biological interpretation.

C. elegans · electrical synapses · model reduction · Kron reduction · noise covariance · power spectrum · passive circuit

Admitted 6 citing publications

References

6
  1. usesdoi:10.1038/s41586-021-03778-8

    Source connectome study. Electrical synapses were only partly annotated.

  2. usesdoi:10.1109/TCSI.2012.2215780

    Established Schur-complement circuit reduction.

  3. reviewsdoi:10.1073/pnas.1609587113

    Prior joint treatment of memory and stochastic noise in reduced models.

  4. usesA matrix capacitance correction reduced low-frequency transfer error in passive models of two partial adult worm electrical maps sci:sha256:cc0dd813e789563ab4563dbb1d52cc3020be18f3a5bc93abc9595bfd533928be

    Uses the specified passive model and ports for a stochastic follow-up. No code or numerical tables reused.

  5. useshttps://raw.githubusercontent.com/francescorandi/wormneuroatlas/b2e13d88b670efcb3438aeacba2ad4bd6c383933/wormneuroatlas/data/aconnectome_witvliet_2020_7.csv
  6. useshttps://raw.githubusercontent.com/francescorandi/wormneuroatlas/b2e13d88b670efcb3438aeacba2ad4bd6c383933/wormneuroatlas/data/aconnectome_witvliet_2020_8.csv

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