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PD Research Combination Bliss One Pair Tool

One supplied Bliss independence contrast for bounded research effects.

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Description

One supplied Bliss independence contrast for bounded research effects.

A pharmacodynamic model relates an exposure or occupancy measure to a response under explicitly supplied parameters. Baseline, maximum increment, half-maximal concentration, effect direction, and observation windows have distinct meanings. Evaluating one model term does not fit the curve or establish its clinical validity.

One supplied Bliss independence contrast for bounded research effects.

When to use this tool

Use PD Research Combination Bliss One Pair when you need this particular response-model term, scale conversion, panel duration, or support calculation.

How to use the tool and how it works

  1. Enter first, second, observed. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read expected, excess, residualSurvival. Use the output convention below.

For first, second, and observed fractions within zero through one return expected=first+second-first*second, excess=observed-expected, and residualSurvival=(1-first)*(1-second).1

Input fieldMeaning and unitsAccepted input
firstFirst supplied value or token under the stated model.Required. Finite number; minimum 0; maximum 1.
secondSecond supplied value or token under the stated model.Required. Finite number; minimum 0; maximum 1.
observedObservedRequired. Finite number; minimum 0; maximum 1.
Output fieldInterpretationReturned shape
expectedExpectedRequired. Finite number.
excessExcessRequired. Finite number.
residualSurvivalResidual SurvivalRequired. Finite number.
json
{
  "input": {
    "first": 0.2,
    "second": 0.5,
    "observed": 0.7
  },
  "output": {
    "expected": 0.6,
    "excess": 0.09999999999999995,
    "residualSurvival": 0.4
  }
}

Limitations and assumptions

  • This is the supplied Bliss-independence reference for matching fractional effects. A positive excess is model-relative arithmetic, not by itself evidence of clinically meaningful synergy or an appropriate combination regimen.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.

Alternative or Complementary methods

Use a fitted and validated response model when a supplied local term is insufficient. Check exposure units, response direction, baseline, model assumptions, and observation support before comparing effects.

References

  1. Calculation and input contract: pharmacodynamics/pd-research-combination-bliss-one-pair — tool.io

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