Time to Steady State Calculator
First order approach to specified steady fraction−ln(1−f)/ke,0<f<1, no exactf=1finite time or automatic five half live rule. All patient/product/route/units and applicable inputs independently clinically established; no dose, route, frequency, eligibility, titration, diagnosis or permission to administer is supplied.
Description
A first-order model approaches steady state asymptotically.
A first-order model approaches steady state asymptotically.1
Reaching an interior target fraction has a finite model time, while exactly complete steady state does not. The calculation and input requirements are explained below.
When to use Time to Steady State Calculator
Enter a clinician-specified steady-state fraction strictly between 0 and 1 and positive fitted elimination rate per hour.
How to use Time to Steady State Calculator and how it works
- Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
- Enter the required fields and run Time to Steady State Calculator.
- Read the result fields using the formula, output units, signs and ordering explained below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerClinicianSpecifiedSteadyStateFraction | Caller Clinician Specified Steady State Fraction. Use the units and matching context stated in the calculation below. | number | Required; fraction from 0 to 1; finite; other constraints below |
| callerFittedEliminationRatePerHour | Caller Fitted Elimination Rate Per Hour. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Enter a clinician-specified steady-state fraction strictly between 0 and 1 and positive fitted elimination rate per hour. Return -ln(1-f)/rate in hours under a first-order approach model. No target fraction or elimination rate is selected; f=1 has no finite model time.
timeHours=-ln(1-steadyFraction)/eliminationRatePerHour Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Numeric result under the formula and output units explained above. | number |
{
"input": {
"callerClinicianSpecifiedSteadyStateFraction": 0.75,
"callerFittedEliminationRatePerHour": 1
},
"output": {
"result": {
"value": 1.3862943611198906
}
}
}Limitations and assumptions
Patient context, drug formulation, route, sampling time, assay units and applicable clinician-verified protocol must be independently established. The output supplies no dosing, titration, switching or administration instruction.
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Tramadol MME Conversion Calculator for a complementary operation: An MME index applies a monitoring conversion factor to recorded daily drug mass.
Use Vancomycin AUC Guideline Checker for a complementary operation: Vancomycin AUC describes drug exposure over a stated interval.
References
-
Time to Steady State Calculator — tool.io
Similar or alternative tools
- Tramadol MME Conversion Calculator
An MME index applies a monitoring conversion factor to recorded daily drug mass.
- Vancomycin AUC Guideline Checker
Vancomycin AUC describes drug exposure over a stated interval.