Calculate the loading dose required to rapidly reach a target plasma concentration: LD = Css · Vd / F, where Css is the target concentration, Vd is the volume of distribution, and F is bioavailability (1 for IV, <1 for oral). A loading dose achieves Css essentially immediately (one-compartment IV bolus) instead of waiting 4–5 half-lives for accumulation. For oral loading, divide by F. Maintenance dosing (MD = Css·CL·τ/F) must follow to sustain the concentration. Loading doses are hazardous for narrow-therapeutic-index drugs (digoxin, theophylline, antiarrhythmics) — clinical judgement required. Optional body-weight input converts the result to mg/kg. Not medical advice.
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Key facts
Category
Health
Input types
number
Output type
json
Sample coverage
4
API ready
Yes
Overview
The Loading Dose Calculator estimates the dose needed to rapidly reach a target plasma concentration using LD = Css · Vd / F. Enter the target concentration, volume of distribution, and bioavailability to calculate the loading dose in mg, with an optional mg/kg result based on body weight.
When to use
Estimate an intravenous loading dose when bioavailability is 1.
Adjust an oral loading dose for bioavailability below 1.
Report the calculated loading dose as mg/kg when body weight is available.
How it works
1Enter a positive target plasma concentration, Css, in mg/L.
2Enter the positive volume of distribution, Vd, in liters.
3Enter bioavailability as a fraction from greater than 0 to 1; use 1 for IV administration.
4The calculator applies LD = Css · Vd / F and optionally divides the result by body weight to report mg/kg.
Use cases
Pharmacokinetic exercises involving target plasma concentration and volume of distribution.
Comparing IV and oral loading doses when bioavailability differs.
Checking a total loading dose and optional weight-normalized dose in mg/kg.
Examples
1. IV theophylline loading dose
Clinical pharmacology student
Background
A pharmacokinetic example uses a target concentration of 10 mg/L, a volume of distribution of 35 L, IV administration, and a body weight of 70 kg.
Problem
Calculate the total loading dose and express it per kilogram.
How to use
Enter Css = 10, Vd = 35, bioavailability F = 1, and weight = 70.
Css: 10 mg/L; Vd: 35 L; F: 1; weight: 70 kg
Outcome
The calculator returns 350 mg, equivalent to 5 mg/kg, using LD = Css · Vd / F.
2. Oral loading dose adjusted for bioavailability
Pharmacokinetics learner
Background
An oral dose must reach a target concentration of 10 mg/L with a volume of distribution of 35 L and bioavailability of 0.9.
Problem
Determine how the oral loading dose differs from the IV calculation.
How to use
Enter Css = 10, Vd = 35, and bioavailability F = 0.9. Leave body weight blank.
FAQ
What formula does the calculator use?
It uses LD = Css · Vd / F, where Css is target concentration, Vd is volume of distribution, and F is bioavailability.
What should I enter for IV bioavailability?
Enter 1 for intravenous administration.
Why is an oral loading dose higher when F is below 1?
Dividing by a bioavailability below 1 increases the administered dose to account for the fraction that reaches systemic circulation.
Can the calculator show mg/kg?
Yes. Enter optional body weight in kilograms to receive the loading dose per kilogram.
Is this calculator medical advice?
No. Loading doses require clinical judgment, especially for narrow-therapeutic-index drugs such as digoxin and theophylline.