Bee Oral LD50 Calculator

Observed bee orally administered lethal dose 50 percent endpoint across independently qualified assay records, not generic mammalian LD50 or cross-species equivalence. Piecewise-linear response versus log exposure, no extrapolation, no fabricated fitted model. Assay protocol, background correction, replicate uncertainty and biological interpretation independent; no test procedures or handling safety advice.

Description

A bee oral LD50 concerns an administered-dose lethal endpoint under a specified assay.

A bee oral LD50 concerns an administered-dose lethal endpoint under a specified assay.1

It should retain its species, route, dose basis and observation duration.

When to use Bee Oral LD50 Calculator

Use this tool to interpolate the bracketed assay endpoint under the declared response convention. Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.

How to use Bee Oral LD50 Calculator and understand its results

  1. Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
  2. Enter actualTestedExposureCoordinates, actualIndependentlyQualifiedEndpointFractions, callerVerifiedAssayIdentityAndDuration, using the field meanings and rules below, then run the tool.
  3. Read observedLogInterpolatedAssayEndpoint in the tested exposure-coordinate units. Review the assay context and uncertainty separately.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
actualTestedExposureCoordinatesActual tested exposure coordinateslist of numberRequired
actualIndependentlyQualifiedEndpointFractionsActual independently qualified endpoint fractionslist of numberRequired
callerVerifiedAssayIdentityAndDurationCaller verified assay identity and durationstringRequired

Require at least two aligned observations: exposure coordinates must be strictly increasing and positive, and response fractions must lie in [0,1] and be nondecreasing. The fixed target 0.5 must fall within the observed response range. A unique exact target hit returns its exposure; repeated exact target hits fail as an ambiguous plateau. Otherwise interpolate response linearly against natural-log exposure and exponentiate. No extrapolation, regression, confidence interval or automatic background correction is performed. Enter a nonblank qualified assay context, which is retained with the result.

endpoint=exp(ln(d_i)+(ln(d_(i+1))−ln(d_i))×(0.5−p_i)/(p_(i+1)−p_i))

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
resultQualified observed calculation or explicit referenceobject
result.observedLogInterpolatedAssayEndpointAssay exposure coordinate at the target response under log-exposure interpolation.number
result.assayContextCaller-supplied qualified assay identity and duration, returned unchanged.string
json
{
  "input": {
    "actualTestedExposureCoordinates": [
      1,
      10,
      100
    ],
    "actualIndependentlyQualifiedEndpointFractions": [
      0.25,
      0.5,
      0.75
    ],
    "callerVerifiedAssayIdentityAndDuration": "bee orally administered lethal dose; actual independently verified source/edition and units"
  },
  "output": {
    "result": {
      "observedLogInterpolatedAssayEndpoint": 10,
      "assayContext": "bee orally administered lethal dose; actual independently verified source/edition and units"
    }
  }
}

Limitations and assumptions

Chemical identity, route, assay, exposure basis and reference applicability are caller-established. The output supplies no causal conclusion, universal toxicity threshold or authoritative regulatory determination. Endpoint interpolation summarizes the supplied qualified assay observations; it does not supply a fitted toxicological model or an uncertainty estimate.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries, subject to the narrower lengths and code rules above. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Earthworm LC50 Calculator: An earthworm LC50 concerns a lethal-concentration endpoint under specified exposure conditions. For a complementary comparison, use Bee Contact LD50 Calculator: A bee contact LD50 concerns a route-specific administered-dose lethal endpoint.

References

  1. Bee Oral LD50 Calculator — tool.io

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