Table 2.
Variables and parameters of the mathematical models. Default or median values for the parameters are given across all calibration sets; a more detailed list for each of the calibrations of these values can be found in the supplementary materials.
| Variables | Description | Units | |
|---|---|---|---|
| T | Number of tumor cells | cells | |
| A b | Number of bound trastuzumab antibodies | molecules | |
| P i | Amount of internalized paclitaxel | pmol | |
| A f | Number of free trastuzumab antibodies | molecules | |
| P f | Amount of free paclitaxel | pmol | |
| Parameters | Description | Units | Median/Default Value |
| k | Tumor cell growth rate (calibrated) | 1/t | 0.83 |
| η A | Antiproliferative effect per amount of bound trastuzumab antibody (calibrated) | 1/Ab | 2.51 |
| Delay for bound trastuzumab effect due to intracellular signaling (calibrated) | t | 1.93 | |
| θ | Tumor cell carrying capacity (calibrated) | cells | 0.67 |
| δ P | Carrying capacity reduction amount per amount of internalized paclitaxel (calibrated) | cells/Pi | 0.23 × 102 |
| γ P | Rate of decay for initial paclitaxel toxicity (calibrated) | 1/t | 6.35 |
| Time to paclitaxel toxic effect decrease (calibrated) | t | 1.48 | |
| S | Drug synergy parameter (calibrated) | unitless | 1 |
| β A | Binding rate of trastuzumab antibody per available HER2 receptors (calibrated) | 1/(receptors · t) | 8.78 |
| HER2 exp | Average HER2 expression per tumor cell (assigned) | Receptors/cell | 1.94 × 106 |
| α P | Paclitaxel internalization rate (calibrated) | 1/(cell · t) | 0.68 |