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Loading Dose Calculator (LD = Css · Vd / F)

· Last updated:2026-08-04

This tool is for informational purposes only and does not constitute medical, financial, or legal advice; consult a qualified professional for advice.

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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Tool usage guide

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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

  1. 1Enter a positive target plasma concentration, Css, in mg/L.
  2. 2Enter the positive volume of distribution, Vd, in liters.
  3. 3Enter bioavailability as a fraction from greater than 0 to 1; use 1 for IV administration.
  4. 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.

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Css: 10 mg/L; Vd: 35 L; F: 0.9

Outcome

The calculator returns 388.8889 mg. The dose is higher than the 350 mg IV result because the oral calculation divides by F.