Relative Potency Factor Calculator

Actual same-effect reference/test dose ratios across at least two independently matched endpoint levels, retaining variation rather than inventing a universal relative potency. Common mode, curve parallelism and uncertainty external.

Description

Relative potency can vary across matched effect levels when response relationships are not parallel.

Relative potency can vary across matched effect levels when response relationships are not parallel.^[1]

Keeping the effect-specific dose ratios visible avoids assuming one universal potency factor.

When to use Relative Potency Factor Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.

How to use Relative Potency Factor Calculator and understand its results

Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
Enter callerIndependentlyMatchedReferenceDosesAtEffects, actualMatchedTestSubstanceDosesAtEffects, using the field meanings and rules below, then run the tool.
Read result.observedRelativePotencyFactorsByEffect, result.observedMaximumMinusMinimumRelativePotency. Use the units and subtraction order below to interpret each value; retain negative differences where returned.
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
callerIndependentlyMatchedReferenceDosesAtEffects	Caller independently matched reference doses at effects	list of number	Required
actualMatchedTestSubstanceDosesAtEffects	Actual matched test substance doses at effects	list of number	Required

Supply at least two aligned strictly positive reference and test dose coordinates. Divide each reference dose by its matched test dose and return the resulting list plus its maximum-minus-minimum range. Coordinates need not be ordered; matching and comparable effect definitions are established externally.

relativePotency_i=referenceDose_i/testDose_i; range=max(relativePotency)−min(relativePotency)

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.observedRelativePotencyFactorsByEffect	Reference/test dose ratios at the supplied matched effect coordinates.	list
result.observedMaximumMinusMinimumRelativePotency	Largest minus smallest matched reference/test dose ratio.	number

json

{
  "input": {
    "callerIndependentlyMatchedReferenceDosesAtEffects": [
      10,
      20
    ],
    "actualMatchedTestSubstanceDosesAtEffects": [
      2,
      4
    ]
  },
  "output": {
    "result": {
      "observedRelativePotencyFactorsByEffect": [
        5,
        5
      ],
      "observedMaximumMinusMinimumRelativePotency": 0
    }
  }
}

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.

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 Toxicity Units Calculator: A toxic unit normalizes a measured concentration by a matched endpoint concentration. For a complementary comparison, use Toxic Units Mixture Calculator: Mixture toxic units can be summed under a declared concentration-addition model with compatible endpoints.

References

Relative Potency Factor Calculator — tool.io

Similar or alternative tools

Toxicity Units Calculator
A toxic unit normalizes a measured concentration by a matched endpoint concentration.
Toxic Units Mixture Calculator
Mixture toxic units can be summed under a declared concentration-addition model with compatible endpoints.