Table 1. Range over which the parameters are varied in iterations to calibrate the model for multicellular tumor spheroid growth.
Latin hypercube sampling is used to generate 100 sets of parameter values within the specified minimum an maximum values. The model was simulated 100 times with different combinations of parameter values. The ideal parameter set generates a 10-fold change in tumor volume in approximately 15 days (“baseline” parameter values, last column).
| Parameters | Minimum | Maximum | Optimized set of parameters |
|---|---|---|---|
| incvol | 10 | 50 | 15.0 |
| decvol | 0.001 | 0.1 | 0.025 |
| PGrThr | 0.0032 | 0.192 | 0.09983 |
| SGrThr | 0.0032 | 0.192 | 0.09983 |
| StressIncrement | 0.25 | 1 | 0.95 |
| StressThr | 20 | 100 | 50.5 |
| N | 7 | 10 | 6 |
| Vatpmax | 1.68e-03 | 4.2 | 0.6 |
| atpD | 0.064 | 0.032 | 0.021 |
| Totaltime | 50 | 240 | 95.0 |
| NegconcATP | 0.0001 | 0.015 | 0.00095 |
| Posconc | 0.0064 | 0.192 | 0.0628 |
| Vlacmax | 1.11e-02 | 27.75 | 15.393 |
| LacDeath | 0.1256 | 2.75 | 1.68 |
| PosconcLac | 0.1256 | 2.75 | 2.22 |
| Totaltimelac | 50 | 240 | 168.2 |
| maxdiv | 4 | 10 | 9 |
| probstem | 0.1 | 0.8 | 0.5 |
| C | 6 | 11 | 6 |