Table 1
Example Parameters File.
| NAME | VALUE | MIN | MAX | STDERR | VARY | EXPR | BRUTE_STEP |
|---|---|---|---|---|---|---|---|
| Water | 20 | FALSE | |||||
| Kk | 0.023 | 0 | TRUE | ||||
| Kl | 0.038 | 0 | TRUE | ||||
| Kr | 0.0189 | 0 | TRUE | ||||
| Pb | 5.13 | FALSE |
Table 2
Example Evaluation Data.
| 6 | 12 | 36 | 48 | 96 | 152 | 218 | |
|---|---|---|---|---|---|---|---|
| B | 0.112842 | 0.165171 | 0.282806 | 0.312988 | 0.517278 | 0.730571 | 0.786306 |
| P | 12.312 | 15.225 | 34.0144 | 32.7085 | 68.9017 | 66.5103 | 55.1602 |
| F | 9.71499 | 32.2161 | 89.6937 | 127.512 | 364.075 | 478.184 | 548.17 |
| G | 0.055517 | 0.072156 | 0.091274 | 0.11179 | 0.147148 | 0.334804 | 0.225093 |
| L | 0.252665 | 0.406172 | 0.74976 | 0.784167 | 1.23001 | 2.00371 | 2.09576 |
| R | 1.9376 | 3.69466 | 12.6803 | 19.1182 | 33.6874 | 39.8261 | 43.6188 |
| K | 0.206384 | 0.293213 | 0.565799 | 0.587173 | 0.956094 | 1.20586 | 1.4937 |

Figure 1
PBTK Optimizer Model Definition Tab.

Figure 2
PBTK Optimizer Validation Results Tab.
Table 3
Results – Michaelis-Menten and First Order Kinetics.
| OPT METH | AIC | RED CHI-SQ | #EVALS | KK | KL | KR | KMK | KML | KMR | VMAXK | VMAXL | VMAXR |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Initial | 0.0230 | 0.0380 | 0.0189 | 5582 | 3050 | 1525 | 12400 | 6790 | 3395 | |||
| leatfsq | 351 | 1093 | 34 | 0.0230 | 0.0380 | 0.0189 | 5582 | 3050 | 1525 | 12400 | 6790 | 3395 |
| lbfgsb | 351 | 1093 | 821 | 0.0230 | 0.0380 | 0.0189 | 5582 | 3050 | 1525 | 12400 | 6790 | 3395 |
| cg | 351 | 1093 | 1639 | 0.0230 | 0.0380 | 0.0189 | 5582 | 3050 | 1525 | 12400 | 6790 | 3395 |
| cobyla | 350 | 1062 | 2888 | 0.0743 | 0.0001 | 0.0000 | 5583 | 3051 | 1526 | 12400 | 6790 | 3395 |
| tnc | 351 | 1093 | 6 | 0.0230 | 0.0380 | 0.0189 | 5582 | 3050 | 1525 | 12400 | 6790 | 3395 |
| slsqp | 449 | 8148 | 821 | 3929 | 1427 | 1695 | 10161 | 716 | 2394 | 13703 | 416 | 3465 |
| brute | No Result | |||||||||||
| diff_ev | No Result | |||||||||||
| emcee | No Result | |||||||||||
Table 4
Results – Only First Order Kinetics.
| OPTIMIZATION METHOD | AIC | RED CHI-SQ | #EVALS | KK | KL | KR |
|---|---|---|---|---|---|---|
| Initial | 0.0230 | 0.0380 | 0.0189 | |||
| leastsq | 342 | 1003 | 34 | 0.0761 | 0.0002 | 0.0266 |
| lbfgsb | 339 | 952 | 193 | 0.0294 | 0.0408 | 0.0234 |
| cg | 339 | 950 | 279 | 0.0306 | 0.0423 | 0.0192 |
| cobyla | 338 | 933 | 4001 | 0.0968 | 0.0084 | 0.0001 |
| tnc | 339 | 949 | 70 | 0.0307 | 0.0430 | 0.0187 |
| slsqp | 339 | 953 | 153 | 0.0000 | 0.3846 | 0.0067 |
| brute | No Result | |||||
| cfiff_ev | 339 | 946 | 1072 | 0.0259 | 0.0737 | 0.0071 |
| emcee | 338 | 929 | 372 | 0.1253 | 0.0000 | 0.0000 |

Figure 3
Parameter Optimization Tab.

Figure 4
Simulated versus In-Vivo Results with Variation.
