Simple allometry (SA) (3,6,11) |
where a and b are the coefficient and exponent of the allometric equation and W is body weight |
CL and body weight in at least two animal species |
n = 60 (10) |
3.23 |
81% |
n = 102 (11) |
2.65 |
54% |
n = 26 (11) |
N.A. |
46% |
n = 50 (9) |
1.41 |
53% |
n = 102 (9) |
1.28 |
54% |
n = 103 (42) |
N.A. |
53% |
n = 24 (37) |
N.A. |
17% |
n = 22 (63) |
2.03 |
68% |
n = 45 (40) |
N.A. |
71% |
Allometric scaling of unbound CL (38) |
Unbound CL = CL/f
u, p
|
CL, body weight, and plasma unbound (f
u, p) in at least two animal species |
n = 24 (37) |
N.A. |
62% |
Unbound CL = a × (W)b
|
n = 12 (12) |
1.79 |
69% |
where f
u, p is the unbound fraction in plasma |
n = 20 (38) |
2.7 |
55% |
Two term power equation (39) |
or
where a is the coefficient and α and β are the exponents of the allometric equation. W and BrW are body weight and brain weight |
CL and body weight in at least three animal species |
N.A. |
N.A |
N.A. |
Rule of exponents (RoE) (3) |
If 0.55 < b <0.70, CL = a × (W)b
|
CL, body weight, and brain weight in at least two animal species |
All categories |
|
|
If 0.71 < b < 0.99, CLhuman = a × (MLPanimal × CLanimal)b / MLPhuman
|
n = 60 (10) |
1.85 |
81% |
If b ≥ 1, CLhuman = a × (BrWanimal × CLanimal)b / 1.53 |
n = 102 (11) |
2.25 |
54% |
If b > 1.3, CL will be overpredicted |
n = 103 (42) |
N.A. |
49% |
If b < 0.55, CL will be underpredicted |
n = 24 (37) |
N.A. |
37% |
n = 45 (40) |
N.A. |
93% |
Allometric scaling for renally and biliarily excreted drugs (7,44) |
For renal secreted drugs:
|
CL, body weight, GFR, kidney blood flow, kidney weight, bile flow, and UDPGT activity in at least two animal species |
Renal-secreted drugs |
|
|
For biliary excreted drugs: or
|
n = 10 (43) |
N.A. |
70% |
Biliary excreted drugs, n = 8 (44) |
N.A. |
50% |
Allometric scaling after normalization by CLint, in vitro (8,45) |
|
CL and body weight in at least two animal species, human and animal microsomal or hepatocyte K
m, V
max, or concentrations |
Extensively metabolized compounds |
|
|
or
|
n = 10 (8) |
N.A. |
80% |
n = 11 (14) |
1.6 |
82% |
Multi-exponential Allometry (MA) (9,48) |
where a and b are the coefficient and exponent of SA |
CL and body weight in at least two animal species |
All categories |
|
|
n = 50 (9) |
1.19 |
76% |
n = 102 (9) |
1.39 |
54% |
n = 45 (48) |
N.A. |
89% |
Liver blood flow method (LBF) (11,49) |
|
Human and animal liver blood flow, animal CL |
All categories |
Rat 2.57 |
Rat, 45% |
n = 102 (11) |
Dog 2.79 |
Dog, 50% |
|
Monkey 1.89 |
Monkey, 70% |
n = 103 (49) |
N.A. |
Rat, dog, 66% |
|
N.A. |
Monkey, 72% |
n = 103 (42) |
N.A. |
Rat, 40% |
|
N.A. |
Dog, 44% |
|
N.A |
Monkey, 68% |
Scaling from one or two animal species (11) |
|
CL in at least one species of rat, dog, or monkey |
All categories |
|
Rat, 58% |
|
|
|
Dog, 33% |
|
n = 26 (11) |
N.A. |
Monkey, 44% |
|
|
|
Rat–dog, 55% |
|
|
|
Rat–monkey, 78% |
Vertical allometry (3,6) and f
u corrected intercept method (FCIM) (10,40) |
Vertical allometry (VA) criteria: ClogP > 2; f
u, rat/f
u, human > 5; metabolic elimination |
ClogP, elimination route, CL, and body weight in at least two animal species, plasma unbound fraction in rats and humans |
All categories |
|
|
FCIM approach: where a is the coefficient of SA and Rf
u is the ratio of unbound fraction in plasma between rats and human |
n = 60 (10) |
78 |
90% |
n = 24 (37) |
N.A. |
50% |
n = 40 (40) |
N.A. |
89% |
In vitro–in vivo extrapolation (IVIVE) using physiological scaling factors (12,23,60) |
|
Drug disappearance rate in human microsomes or hepatocytes |
All categories |
|
|
Well-stirred model
|
n = 33 (13) |
6.17 |
15% |
Parallel tube model
|
n = 22 (63) |
2.01 |
64% |
Dispersion model
D
N is the dispersion number |
n = 7 (12) |
1.95 |
86% |
n = 29 (65) |
2.28 |
79% |
IVIVE using a drug-specific scaling factor (13,60,61) |
|
Drug disappearance rate in human and animal microsomes or hepatocytes, animal hepatic clearance, the fraction unbound in animal plasma, the animal blood-to-plasma concentration ratio |
All categories |
|
|
|
n = 33 (13) |
2.33 |
39% |
|
n = 13 (60) |
1.57 |
69% |
where PB-SF is the physiologically based scaling factor. The ratio of animal in vivo and in vitro CLint is the drug-specific scaling factor |
|
1.68 |
77% |
IVIVE using an empirical scaling factor (13,62–64) |
, where SF is the empirical scaling factor, determined by the nonlinear iterative least squares regression between CLint, in vivo and CLint, in vitro
|
Drug disappearance rate in human and rat microsomes or hepatocytes, a dataset of human CLint, in vivo and CLint, in vitro
|
All categories |
|
|
n = 33 (13) |
1.00 |
46% |
n = 22 (63) |
1.64 |
64% |
n = 52 (64) |
1.8–2.2 |
62–76% |
IVIVE with protein binding correction or at the presence of human plasma (67,70) |
Well-stirred model
|
Drug disappearance rate in human microsomes or hepatocytes, the fraction unbound in human plasma (f
u, p), and liver microsomes (f
u, micro), or hepatocytes (f
u,
hepa) |
All categories |
|
|
Hallifax equation:
|
n = 7 (12) |
9.28 |
57% |
n = 29 (65) |
f
u, p 4.39 |
45% |
|
f
u, p, f
u, m 2.31 |
62% |
n = 8 (97) |
N.A. |
50% |
n = 7 (67) |
N.A. |
86% |
n = 10 (70) |
N.A. |
80% |
IVIVE using recombinant P450 enzymes (68) |
Relative abundance approachRelative activity approach |
Intrinsic activity of each recombinant CYP enzymes for each test compound, relative abundance, or activity of CYP enzymes |
Benzodiazepines |
|
|
|
n = 5 (69) |
N.A. |
80% |
n = 72 (68) |
N.A. |
44% |
n = 15 (98) |
N.A. |
93% |
Physiologically based approach for renal clearance prediction (34) |
|
GFR, f
u, p, CLsecr, and P
e
|
N.A. |
N.A. |
N.A. |
Computational approaches: multiple linear regression (MLR) (72), partial least squares (PLS) (73), artificial neural network (ANN) (63,97), and k-nearest neighbors approach (kNN) (74) |
Multivariate linear regression analysis
|
Molecular weight and hydrogen bond acceptor number of the test compound, CL in dogs and rats |
All categories |
|
|
n = 68 (72) |
N.A. |
74% |
n = 50 (71) |
1.28 |
78% |
Extensively metabolized compounds n = 22 (63) |
1.81 |
68% |