A LITTLE LIGHTBULB MOMENT
Pharmacokinetics and pharmacodynamics · Pharmacodynamics
Predict response with the stated Emax model
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At EC50, the effect is halfway home.
The idea behind the cue
For a simple Emax model with zero baseline and Hill coefficient 1, E = Emax × C/(EC50 + C).
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Short & simple
At EC50, the effect is halfway home.
Acronym
At EC50, the effect is halfway home.
Story
At EC50, the effect is halfway home.
Connect the pieces
- E = 80 × 12/(4 + 12) = 960/16 = 60 response units. The model and its assumptions are supplied; this is not a prediction for a named drug.
Know the limits
Original educational exercise. Use only the stated assumptions; a calculated quantity is not a prescribing recommendation. Real dosing requires drug-, indication- and patient-specific guidance.
FDA Clinical Pharmacology Review · Emax model equation (mathematical reference only) ↗Check your understanding
Use the stated Emax model: Emax 80 response units, EC50 4 mg/L, concentration 12 mg/L, zero baseline and Hill coefficient 1. What response does the model predict? Enter the number only.
Reveal explanation
60 response units (tolerance ±0.001)
E = 80 × 12/(4 + 12) = 960/16 = 60 response units. The model and its assumptions are supplied; this is not a prediction for a named drug.
FDA Clinical Pharmacology Review · Emax model equation (mathematical reference only) ↗