A resolvent bound gives a 5 percent voltage error band in two passive adult worm circuit models

We derived a conservative frequency bound for a passive circuit model after hidden neurons are removed. The bound limits relative voltage error to 5 percent for every input direction throughout a continuous band. In two partial adult worm electrical maps with ten retained cells and unit capacitance, the primary coupling scale gave upper band limits of 0.6182 and 0.6113 in model units. Exact worst-input errors at these limits were 2.391 and 2.212 percent. Numerical checks passed in 66 map-based models and 100 synthetic circuits. The bound was conservative and could give a finite limit when sampled errors stayed below 5 percent. This is a method benchmark, not a measured neural activity result. Partial electrical annotation, assumed conductance and capacitance, and one retained cell set limit biological interpretation. The package includes the proof, code, aggregate results, source hashes and retrieval instructions. External raw data and transformed databases are not included.

connectomics · passive circuit · model reduction · error bound · C. elegans · hidden neurons