## Derivation of Key Equation

Key equation 2 is built from basic equations 3-5. The following definitions are used:

• Rt—total number of receptors

To provide useful information it is necessary to relate receptor occupancy (r) to agonist concentration [D]. To derive key equation 2 the receptor term not featuring in occupancy, [R], must be substituted in key equation 1.

Occupancy is the proportion of receptors occupied by the agonist and this is described by basic equation 3.

Basic Equation 3

In other words, the total number of receptors is the sum of free and drug-bound receptors as given in basic equation 4.

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