Cumulative Exposure Calculator

Actual disjoint interval daily-dose×elapsed-day cumulative dose with complete interval accounting; not a lifetime average, administered-versus-absorbed conversion or cumulative harm prediction.

Description

Cumulative dose bookkeeping sums daily dose rates across disjoint observed intervals.

Cumulative dose bookkeeping sums daily dose rates across disjoint observed intervals.1

A time-weighted daily mean then uses their combined duration rather than averaging interval means equally.

When to use Cumulative Exposure 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 Cumulative Exposure Calculator and understand its results

  1. Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
  2. Enter actualIntervalDosesMgPerKg, actualIntervalDurationsDays, using the field meanings and rules below, then run the tool.
  3. Read result.observedCumulativeDoseMgPerKg, result.observedTimeWeightedDailyDoseMgPerKg. Use the units and subtraction order below to interpret each value; retain negative differences where returned.
  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
actualIntervalDosesMgPerKgActual interval doses mg per kglist of numberRequired
actualIntervalDurationsDaysActual interval durations dayslist of numberRequired

Supply nonempty aligned nonnegative daily doses and positive period durations in days. Sum dose times days for cumulative exposure, then divide by total days for the duration-weighted daily mean. No calendar overlap or missing-period check is performed.

cumulative=Σ(dailyDose_i×days_i); weightedDailyMean=cumulative/Σdays_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.observedCumulativeDoseMgPerKgSum of interval daily dose times interval days, in mg/kg.number
result.observedTimeWeightedDailyDoseMgPerKgCumulative dose divided by the sum of interval days, in mg/kg/day.number
json
{
  "input": {
    "actualIntervalDosesMgPerKg": [
      1,
      2
    ],
    "actualIntervalDurationsDays": [
      2,
      3
    ]
  },
  "output": {
    "result": {
      "observedCumulativeDoseMgPerKg": 8,
      "observedTimeWeightedDailyDoseMgPerKg": 1.6
    }
  }
}

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 Intake Rate Adjustment Calculator: Linear intake-rate adjustment preserves a supplied scenario's concentration and other dose assumptions while changing intake. For a complementary comparison, use Exposure Frequency Adjustment Calculator: An exposure-day average depends on how many calendar days are exposed under the declared scenario.

References

  1. Cumulative Exposure Calculator — tool.io

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