Worked Example: Caffeine Half-Life & Cutoff Worked Example
Model exponential caffeine elimination (C(t) = Dose × 0.5^(t / t_half)) to find active caffeine at bedtime and your sleep-safe cutoff hour.
- Enter your baseline parameters in the input fields or choose a quick preset chip.
- Apply the governing equation: Remaining_mg = Dose_mg × 0.5^(ElapsedHours / HalfLife); CutoffHrs = HalfLife × log₂(Dose_mg / 25).
- Review the primary output, supporting metrics, and 3-panel SVG graphs.
Result: Computes Caffeine Half-Life & Cutoff via Remaining_mg = Dose_mg × 0.5^(ElapsedHours / HalfLife); CutoffHrs = HalfLife × log₂(Dose_mg / 25).
Health & Fitness · Sleep & Circadian Science
Coffee & Caffeine Half-Life, Bloodstream Clearance & Bedtime Cutoff Calculator: inputs, method, and how to read the result
Model exponential caffeine elimination (C(t) = Dose × 0.5^(t / t_half)) to find active caffeine at bedtime and your sleep-safe cutoff hour.
Choose inputs for the case you are checking
The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.
- Caffeine Dose Mg: Total caffeine consumed in mg (95 mg coffee, 150 mg double espresso, 200 mg energy drink).
- Consumption Hour24: Hour of consumption in 24-hour clock format (14 = 2:00 PM).
- Target Bedtime Hour24: Target bedtime hour in 24-hour format (23 = 11:00 PM).
- Caffeine Half Life Hours: Biological half-life in hours (adult mean = 5.0 hrs).
What the calculation includes
With the default values shown, Active Caffeine Remaining at Bedtime is 51.69 mg. The calculation follows Caffeine Half-Life & Cutoff Formula; the formula and variable definitions above show how the inputs combine.
One-input check: With the other defaults held constant, changing Caffeine Dose Mg from 180 mg to 198 mg changes Active Caffeine Remaining at Bedtime from 51.69 mg to 56.86 mg. This is a comparison inside the calculator's stated model, not a prediction.
Where to use caution
- Uses peer-reviewed pharmacokinetic, epigenetic, and proportional cost-allocation models.
- Individual metabolism and local utility or tax rates vary; adjust inputs to match your case.
Scope: Global Everyday Science & Financial Planning Standard Check the assumptions and limitations against your situation before relying on the estimate.
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