EC10 Calculator

Actual independently qualified EC10actual effect interpolation in response-versus-logdose coordinates, not existing50 percent endpoint. No extrapolation, statistical curve fit, animal procedure advice or safe-dose claim.

Description

An EC10 locates a ten-percent effect under the assay's independently established response convention.

An EC10 locates a ten-percent effect under the assay's independently established response convention.^[1]

Its tested range and effect definition must be matched before interpolation.

When to use EC10 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 EC10 Calculator and understand its results

Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
Enter actualTestedDoseOrConcentration, actualIndependentEndpointFractions, using the field meanings and rules below, then run the tool.
Read observedLogInterpolatedEndpoint in the tested exposure-coordinate units. Review the assay context and uncertainty separately.
Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.

Input field	Meaning	Value type	Requirement
actualTestedDoseOrConcentration	Actual tested dose or concentration	list of number	Required
actualIndependentEndpointFractions	Actual independent endpoint fractions	list of number	Required

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 0.1 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.

endpoint=exp(ln(d_i)+(ln(d_(i+1))−ln(d_i))×(0.1−p_i)/(p_(i+1)−p_i))

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

Output field	Meaning	Value type
result	Qualified observed calculation or explicit reference	object
result.observedLogInterpolatedEndpoint	Exposure coordinate at the fixed target response under log-exposure interpolation.	number

json

{
  "input": {
    "actualTestedDoseOrConcentration": [
      1,
      10,
      100
    ],
    "actualIndependentEndpointFractions": [
      0,
      0.1,
      0.2
    ]
  },
  "output": {
    "result": {
      "observedLogInterpolatedEndpoint": 10
    }
  }
}

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 Probit Slope Calculator: A probit slope describes a relationship between independently transformed response scores and a stated dose coordinate. For a complementary comparison, use Probit Analysis Calculator: A probit-analysis record needs the fitted link, dose transformation and endpoint context.

References

EC10 Calculator — tool.io

Similar or alternative tools

Probit Slope Calculator
A probit slope describes a relationship between independently transformed response scores and a stated dose coordinate.
Probit Analysis Calculator
A probit-analysis record needs the fitted link, dose transformation and endpoint context.