Metabolite conc-time profile after
administration of the parent drug

The metabolite conc-time profile after a single iv dose of the parent drug can be expresses as:

Cp(m)=

fm k D

Vd(m) (k(m) - k)
(e-kt - e-k(m)t)

tmax(m)

Cpmax(m)

tmax(m) (the time to achieve Cpmax (m)) depends on k and k(m) and is equal to:

tmax (m)=

In k- In k(m)

k - k(m)

and Cpmax (m) can be determined by:

Cpmax(m)=

fm k D

Vd(m) (k(m)-k)
(e-k t max(m) -e-k(m)tmax(m))
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