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