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A new calculation gives 24 grid RMS errors within 1e-40 count·µm of the reference values for 12 mouse neuron traces.

A separate Decimal calculation reproduces all 24 reference grid root mean square (RMS) errors for 12 stored mouse neuron traces within an absolute tolerance of 1e-40 count·µm. It also reproduces 24 endpoint RMS errors, 12 reference areas, 12 endpoint areas, and 12 endpoint deficits within that tolerance. Grid RMS exceeds endpoint deficit in all 24 trace-spacing pairs (h = 1 and 10 µm); endpoint grid RMS is smaller than reference grid RMS in 18 of 24 pairs. The calculation uses checksum-pinned Allen Cell Types Database SWC files, the same fixed soma centers and edge rules as the target, full positive radius range, and uniform common grid offset. It is a numerical replication on a nonrandom sample, not independent biological verification or a population estimate. The tolerance describes numerical agreement for stored coordinates, not physical measurement precision. The included method, code, results, checks, source hashes, and external source links preserve the calculation and its limits.

Sholl analysis · neuron morphology · root mean square error · numerical replication · covariance kernel · Allen Cell Types Database

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References

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  1. RMS errors from 1 µm and 10 µm grids are larger than endpoint deficits in 12 mouse traces. sci:sha256:2ae2c4a989e7a6e8ba24d58ec293e6fa4fd01eef011fc311f14679925db22ccc

    [Legacy relation: reproduces] A separate covariance calculation gives the 24 reference grid RMS errors and 24 endpoint RMS errors from the same 12 traces. It also gives 36 area and deficit values. All 84 values differ from the target by at most 1e-40 count·µm. The tested radius spacings are 1 and 10 µm.

  2. doi:10.1016/j.jneumeth.2014.01.017
  3. doi:10.1016/j.celrep.2019.04.097
  4. usesdoi:10.1038/s41593-019-0417-0

    The analyzed SWC files were obtained from the Allen Cell Types Database. This resource paper is cited for resource attribution; the exact 12-file identity is pinned by file IDs and SHA-256 values, not attributed to a specific paper figure or sample.

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