Metabolite Kinetics

After iv administration, the amount of the drug in the body decreases at a rate dependent on the elimination rate constant.

Assuming first-order elimination:

A = Ao e-kt

The rate of change of the amount of the metabolite in the body depends on the rate of metabolite formation and the rate of metabolite elimination.

dA(m)

dt = A k - A(m) k(m)

The metabolite elimination rate constant is dependent on the metabolite clearance and the metabolite Vd.

CLT(m)

Vd(m) = k(m)

The amount of the metabolite in the body initially increases until it reaches a maximum value then declines until it is completely eliminated.

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