One-Compartment AUC Calculator
Exact finite/infinite AUCfor caller independently fitted C(t)=C0exp(−kt) single-compartment model. No data fitting, dose selection, multiple-compartment claim or measured future concentration.
Description
A one-compartment exponential model describes concentration decline using an initial concentration and elimination rate.
A one-compartment exponential model describes concentration decline using an initial concentration and elimination rate.1
Its area under the curve is conditional on those independently fitted parameters and model assumptions.
When to use One-Compartment AUC 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 One-Compartment AUC Calculator and understand its results
- Establish the chemical, exposure route, endpoint, measurement basis and independently applicable assay or assessment reference.
- Enter callerIndependentlyFittedInitialConcentration, callerIndependentlyFittedEliminationRatePerHour, actualElapsedHours, using the field meanings and rules below, then run the tool.
- Read result.conditionalOneCompartmentFiniteAuc, result.conditionalOneCompartmentInfiniteAuc. 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 |
|---|---|---|---|
| callerIndependentlyFittedInitialConcentration | Caller independently fitted initial concentration | number | Required |
| callerIndependentlyFittedEliminationRatePerHour | Caller independently fitted elimination rate per hour | number | Required |
| actualElapsedHours | Actual elapsed hours | number | Required |
Require nonnegative initial concentration and observation time, and a strictly positive elimination rate constant. Use the stable expm1 form for finite-time area and return the infinite-time area separately. The model assumes one-compartment exponential elimination without additional input.
AUC_0_t=C0×(−expm1(−k×t))/k; AUC_0_infinity=C0/k 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.conditionalOneCompartmentFiniteAuc | Concentration-time area from time zero through the supplied observation time. | number |
| result.conditionalOneCompartmentInfiniteAuc | Initial concentration divided by elimination rate constant; area through infinite time. | number |
{
"input": {
"callerIndependentlyFittedInitialConcentration": 10,
"callerIndependentlyFittedEliminationRatePerHour": 1,
"actualElapsedHours": 2
},
"output": {
"result": {
"conditionalOneCompartmentFiniteAuc": 8.646647167633873,
"conditionalOneCompartmentInfiniteAuc": 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.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Maintenance Dose Calculator: A maintenance-mass scenario relates a clinician-established average concentration target to clearance, interval and bioavailability. For a complementary comparison, use Loading Dose Calculator: A loading-mass scenario combines an independently established concentration target, distribution volume and bioavailability.
References
-
One-Compartment AUC Calculator — tool.io
Similar or alternative tools
- Maintenance Dose Calculator
A maintenance-mass scenario relates a clinician-established average concentration target to clearance, interval and bioavailability.
- Loading Dose Calculator
A loading-mass scenario combines an independently established concentration target, distribution volume and bioavailability.