Table 2.
Values of estimated parameters for Mouse 1, 2, and 3 and each hypothesis at each time point using the 3D finite difference method.
| Mouse | Hypothesis | Time Point | D (μm2/h) | ρ (h−1) | velocity (μm/h) | Error |
|---|---|---|---|---|---|---|
| 1 | 1 | — | 413.77 | 0.0188 | 5.5781 | 0.4524 |
| 2 | 2 | 139.24 | 0.0182 | 3.1838 | 0.1196 | |
| 3 | 839.93 | 0.0248 | 9.1280 | 0.1191 | ||
| 4 | 1047.6 | 0.0192 | 8.9697 | 0.1029 | ||
| 5 | 968.75 | 0.0082 | 5.6369 | 0.0949 | ||
| 3 | 2 | 139.24 | 0.0182 | 3.1838 | 0.1196 | |
| 3 | 233.97 | 0.0499 | 6.8338 | 0.1145 | ||
| 4 | 1156.2 | 0.0178 | 9.0731 | 0.0688 | ||
| 5 | 1305.6 | 0.0105 | 7.4051 | 0.0644 | ||
| 2 | 1 | — | 319.22 | 0.0167 | 4.6178 | 0.4528 |
| 2 | 2 | 558.74 | 0.0235 | 7.2472 | 0.1151 | |
| 3 | 206.21 | 0.0100 | 2.8720 | 0.1067 | ||
| 4 | 346.35 | 0.0055 | 2.7604 | 0.1042 | ||
| 5 | 886.07 | 0.0104 | 6.0713 | 0.0979 | ||
| 3 | 2 | 558.74 | 0.0235 | 7.2472 | 0.1151 | |
| 3 | 950.79 | 0.0051 | 4.4041 | 0.0846 | ||
| 4 | 77.734 | 0.0369 | 3.3873 | 0.0621 | ||
| 5 | 94.161 | 0.0520 | 4.4255 | 0.0643 | ||
| 3 | 1 | — | 651.17 | 0.0177 | 6.7899 | 0.2833 |
| 2 | 4 | 859.70 | 0.0127 | 6.6085 | 0.1408 | |
| 5 | 454.29 | 0.0236 | 6.5487 | 0.1364 | ||
| 3 | 4 | 859.704 | 0.0127 | 6.6085 | 0.1408 | |
| 5 | 1552.1 | 0.0200 | 11.1431 | 0.1027 |
Minimization is performed with respect to equation (4).