If metabolic stability is determined in a suspension of hepatocytes,
SF¼ðGcell=WliverÞðWliver=WbodyÞ=Ccell
whereGcellis the average number of cells in the liver,Ccell, the cell
density (or concentration) in the reaction mixtures (e.g., 10^6 cells/mL).
Gcell/Wliveris approximately 120 106 cells/g for humans (Bayliss
et al., 1990); thus,
CLint¼ 24000 : 693 =ðt 1 = 2 CcellÞ¼ 1663 =ðt 1 = 2 CcellÞðmL=min=kgÞ;or
CLint¼ 1 : 663 =ðt 1 = 2 CcellÞwith units of L=min=kg: ð 13 : 5 Þ
It should be noted that the SFs used here are physiologically based.
However, despite their general acceptance, these SFs may not always
lead to reasonable in vivo predictions, and SFs other than the
physiologically-based should be also considered (Ito and Houston,
2005; Naritomi et al., 2001).
The previously described assays for detecting substrate disappearance
or half-life, however, are not suitable for the determination of metabolic
rates, which are required for the kinetic delineation of individual
metabolic pathways.
ii. CLintcan be estimated from rates of metabolism, usually gauged from
the formation of the metabolites, if authentic metabolite standards or
radioactively labeled parent compounds are available. However, the
metabolite standards or radioactively labeled compounds are often
unavailable, particularly in early discovery. The rates of product
formation should be determined as the initial step towards an under-
standing of the enzymatic basis of metabolism.
Rate calculation is straightforward when the amount of enzyme in the
reaction system is known:
V¼M=ðtEÞð 13 : 6 Þ
whereVis reaction rate,Mis the quantity of metabolite formed during
the incubation periodt, andEis the quantity of the enzymes or proteins
in the incubation mixture.Vis often in units of pmol metabolites/min/
mg protein or pmol metabolites/min/pmol enzyme.
The incubation timet, although theoretically as short as possible, is
typically between 15 and 45 min. Such a reaction period is based
largely on the following factors: the metabolite formation rates, the
linearity of metabolite formation rates, the responsible enzyme
thermostabilities, and substrate and enzyme concentrations. For
CYP-mediated reactions the rates of metabolite formation are often
moderate, and the CYP enzymes are often thermostable, resulting in
DETERMINATION OF METABOLIC STABILITY 423