Biomedical Engineering Reference
In-Depth Information
Tabl e 3 One-compartment parameters for the drug concentration in the jugular vein of dogs
following a 10-min infusion of 1 mg/kg of mibefradil
Va l u e
Model
Parameter
Dog 1
Dog 2
Dog 3
Dog 4
Mean
MM
v max (ng/mL/min)
327
4,699
4,737
4,375
K M (ng/mL)
96,593
101,139
100,131
101,046
V d (L)
10.5
0.00369
0.00361
0.00405
WRSS
7.27
11.0
11.0
11.0
AIC
31.8
37.2
37.2
37.2
35.9
v ef max (ng/mL/min)
LQC
587
847
363
623
K ef M (ng/mL)
5,323
6,961
4,702
5,693
V d (L)
7.21
8.45
4.64
5.67
2
D
2.00
2.00
2.00
2.00
WRSS
2.68
4.06
4.15
3.05
AIC
20.8
26.2
26.5
22.5
24.0
F
k 0 (/min)
1.01
1.16
1.03
1.21
V d (L)
4.80
4.31
4.95
3.55
h
0.999
0.999
0.998
0.998
WRSS
2.56
5.33
3.74
4.14
AIC
18.2
27.8
23.2
24.5
23.4
FMM
v max (ng/mL/min)
4,358
3,306
2,486
4,170
K M 0 (ng/mL)
4,623
3,638
2,709
4,401
V d (L)
6.04
11.0
10.1
12.0
h
1.00
1.00
1.00
1.00
WRSS
2.01
1.82
2.01
2.01
AIC
17.1
15.8
17.1
17.1
16.8
SSFMM
v max (ng/mL/min)
3,575
8,201
3,548
3,817
K M (ng/mL)
5,217
799
6,778
7,098
V d (L)
1.30
2.39
16.5
9.54
X
2.56
3.35
2.74
2.61
WRSS
0.845
0.263
0.219
0.544
AIC
5.99
9.38
11.7
0.0797
3.75
orders of magnitude in time, and the goodness-of-fit represented by the R 2 value is
greater than 0.9 for every dog. This result indicates that the SSFMM model is an
appropriate model for the data.
The results from the model fits are listed in Table 3 . The SSFMM model provides
the best fit to all data sets, while the MM and LQC models perform the worst.
Furthermore, the reaction orders of 2
d f in the LQC model yield values of zero for
the fractal dimension d f , essentially eliminating the fractal nature of the model. In
the case of the F and FMM models, the exponent h takes the maximum value of 1;
however, the fit is not substantially improved.
The values for X determined from the model fit were compared to those
calculated from the power law tail exponent
γ
using Eq. ( 46 ), and the results are
 
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