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IV Infusion Rate Calculator (R₀ = Css · CL)

· 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 continuous IV infusion rate that maintains a target steady-state plasma concentration: R₀ = Css · CL, where Css is the target concentration and CL is clearance. At steady state, the infusion rate equals the elimination rate. If the IV solution concentration (mg/mL) is provided, the tool additionally derives the infusion-pump delivery rate in mL/h, which is what the pump is actually set to in clinical practice. This is an IV-only tool — bioavailability F is not applicable. Reaching steady state requires approximately 4–5 half-lives. Not medical advice.

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Written by the Elysia Tools team

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 IV Infusion Rate Calculator uses R₀ = Css · CL to calculate the continuous IV infusion rate needed to maintain a target steady-state plasma concentration. Enter the target concentration and clearance, and optionally provide the IV solution concentration to derive the pump rate in mL/h. This tool is for IV infusion calculations and is not medical advice.

When to use

  • Calculate the required continuous infusion rate in mg/h from a target Css and drug clearance.
  • Convert the calculated drug infusion rate into a pump setting in mL/h when the IV solution concentration is known.
  • Check pharmacokinetic calculations for steady-state IV infusion planning or education.

How it works

  1. 1Enter a positive target steady-state concentration, Css, in mg/L.
  2. 2Enter a positive clearance value, CL, in L/h.
  3. 3The calculator multiplies Css by CL to return the infusion rate R₀ in mg/h.
  4. 4Optionally enter the IV solution concentration in mg/mL to calculate the pump rate in mL/h; results can be rounded to the selected number of decimal places.

Use cases

  • Estimate a continuous IV drug infusion rate from target plasma concentration and clearance.
  • Translate a dose rate in mg/h into an IV pump rate using the prepared solution concentration.
  • Support pharmacokinetics coursework, calculation review, and clinical education.

Examples

1. Calculate an IV pump setting

Clinical pharmacokinetics learner

Background

A target steady-state concentration is 10 mg/L, clearance is 2.8 L/h, and the prepared IV solution contains 2 mg/mL.

Problem

Find both the required drug infusion rate and the corresponding pump delivery rate.

How to use

Enter Css as 10, clearance as 2.8, and solution concentration as 2.

Css: 10 mg/L; CL: 2.8 L/h; concentration: 2 mg/mL

Outcome

The calculated infusion rate is 28 mg/h, corresponding to a pump rate of 14 mL/h.

2. Calculate the infusion rate without a solution concentration

Pharmacology student

Background

A target Css of 4 mg/L and clearance of 6.25 L/h are available, but the IV solution concentration has not been specified.

Problem

Calculate the required drug delivery rate in mg/h.

How to use

Enter Css as 4 and clearance as 6.25, leaving the optional concentration field blank.

FAQ

What formula does the calculator use?

It uses R₀ = Css · CL, where Css is the target concentration and CL is clearance.

What units should I enter?

Enter Css in mg/L and clearance in L/h. The infusion rate is returned in mg/h.

How is the pump rate calculated?

When solution concentration is provided in mg/mL, pump rate equals infusion rate divided by solution concentration and is returned in mL/h.

Is the IV solution concentration required?

No. Css and clearance are required for the mg/h result. The solution concentration is optional and is needed only for the mL/h pump rate.

Does the calculator account for bioavailability or time to steady state?

No. It is an IV-only calculation, so bioavailability F does not apply. Reaching steady state generally takes about 4–5 half-lives.

Hub

Pharmacokinetic Teaching and Dose-Model Checks

Explore pharmacokinetic formulas, model assumptions, and result consistency for teaching or QA without giving medication dosing or clinical advice.

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Css: 4 mg/L; CL: 6.25 L/h

Outcome

The calculator returns an infusion rate of 25 mg/h. No pump rate in mL/h is derived because the solution concentration was omitted.

3. Round a calculated infusion result

Healthcare educator

Background

A worked example requires a consistent number of decimal places for presenting the calculated infusion rate.

Problem

Display the result with a chosen precision while using the standard Css and clearance inputs.

How to use

Enter positive Css and clearance values, then set Decimal Places from 0 to 8.

Decimal Places: 2

Outcome

The result is displayed using the selected decimal-place setting.