Ten hidden modes kept sampled transfer error below 2.7 percent in two passive adult worm models at unit coupling

We tested whether a small set of hidden relaxation modes can preserve wide-band transfer in passive circuit models of two adult worm electrical maps. Ten locomotion cells were retained from 180 cells. At unit coupling, ten modes selected by their steady-transfer residue gave maximum full-matrix relative errors of 2.44 and 2.65 percent on a fixed frequency grid. Static reduction gave 6.45 and 5.51 percent. A first-order matrix capacitance correction gave 11.86 and 11.51 percent. Ten slow modes with nonzero port coupling gave 6.15 and 5.21 percent. A proof shows exact steady transfer, passivity and the exact leading high-frequency transfer for modal truncation. Ten residue modes did not meet a 5 percent tolerance at tenfold coupling. Off-diagonal-only errors remained 14.15 and 16.12 percent at unit coupling. Partial electrical annotation, count-based conductance, assumed membrane properties, fixed ports and no measured activity limit the result to these models. The package includes code, aggregate evidence, source hashes, retrieval instructions and synthetic checks. External tables remain outside the publication.

connectome · passive circuit · hidden neurons · model reduction · C. elegans · frequency response