Pharmacology & Dosage
Basic

Therapeutic Index

Ratio of the dose causing toxicity to the effective dose — a safety measure for drugs.

Formula

TI=TD50ED50TI = \frac{TD_{50}}{ED_{50}}

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Variables

TITherapeutic index
TD_{50}Dose toxic to 50 % of subjects
ED_{50}Dose effective in 50 % of subjects

Example

TD₅₀ = 600 mg, ED₅₀ = 100 mg → TI = 6

How it works

The therapeutic index compares how much drug is needed to produce a desired effect with how much is needed to cause harm. It works as a simple safety ratio: a larger value usually means there is a wider gap between effective and toxic doses, so the drug is easier to use safely. Because both numbers come from population data (the 50% effective dose and the 50% toxic dose), it gives a rough measure of how forgiving a medicine is.

When to use it

Use this when comparing the safety of medications or assessing whether a dose has a narrow or wide safety margin. It is especially useful in pharmacology, toxicology, and drug development when deciding how carefully a medicine must be monitored.

Worked example, step by step

Step 1: Identify the values. TD₅₀ = 250 mg ED₅₀ = 50 mg Step 2: Substitute into the formula. TI = TD₅₀ / ED₅₀ = 250 / 50 Step 3: Calculate the ratio. TI = 5 Final answer: The therapeutic index is 5, meaning the toxic dose is 5 times the effective dose at the 50% level.

Common mistakes to avoid

  • Reversing the ratio and dividing ED₅₀ by TD₅₀
  • Using a single patient's dose instead of the 50% population dose values
  • Assuming a high therapeutic index guarantees a drug is completely safe

Did You Know?

Warfarin and lithium have notoriously narrow therapeutic indices — even small dose errors can be dangerous.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026