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. 2019 Sep 6;9:12830. doi: 10.1038/s41598-019-49073-5

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
tA 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
tP 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