Table 1 Summary of model simulation parameters
Parameter | Notation | Value | Units |
|---|---|---|---|
Concentration of glutamine (maximum) | 퐶푔 | 2.0 | mM |
Diffusivity of glutamine | 퐷푔 | 7.6 × 10− 10 | m2 s− 1 |
Initial mass of cell | 푀푐,푖푛푖 | 3.3 × 10− 12 | kg |
Metabolic maintenance coefficient | 푚 | 2.0 × 10− 8 | s− 1 |
Max Specific growth rate | 퐾푐푔 | 8.75 × 10− 6 | s− 1 |
Half saturation coefficient | 푆 | 0.1 | mol m− 3 |
Yield coefficient | 푌 | 100 | |
Critical apoptotic stress value | 푑푎푝표푝푡표푠푖푠 | 8–14 | h |
Threshold concentration of glutamine | 퐶푔푚푖푛 | 0.6 | mM |
Cell clearing time | 푐푡 | 4 | h |
Maximum concentration of cisplatin | 퐶푐푖푠 | 10.0 | μM |
Diffusivity of cisplatin | 퐷푐푖푠 | 8.2 × 10−10 | m2 s−1 |
Diffusivity of cisplatin (Intra-spheroidal) | 퐷푐푖푠 | 1.78 × 10− 11 | m2 s− 1 |
Cisplatin degradation rate constant | 퐾푑푒푔 | 1 × 10− 4 | s− 1 |
Cisplatin bonding rate constant | 퐾푏표푛푑푖푛푔 | 3 × 10− 3 | s− 1 |
Maximum generational age | 푡푚 | 8 | days |
Maximum age-independent adduct concentration | 퐶푐푖푠푚푎푥 | 2.8 × 10− 3 | μM |
Passive diffusion rate constant of cisplatin | 퐾푖푛푡푟푎 | 20.96 | h−1 |
Concentration of Taxol (maximum) | 퐶푡푎푥 | 200.0 | nM |
Diffusivity of Taxol (Intra-spheroidal) | 퐷푡푎푥 | 9.25 × 10−12 | m2 s− 1 |
Diffusivity of Taxol | 퐷푡푎푥 | 4.26 × 10–10 | m2 s− 1 |
Taxol drug clearance | 푐푙 | 1.91 × 10− 1 | s− 1 |
Lethal Taxol concentration | 퐶푙푒푡ℎ푎푙 | 1.5 × 10− 3 | nM |
Drug binding rate constant of Taxol | 푘푏 | 3.0 × 10− 6 | s− 1 |
Drug binding rate constant of Taxol to unsaturable sites | 푁푠 | 4.1 × 10− 5 | s− 1 |
Michaelis-Menten constant for extracellular protein binding | 퐵푚 | 3.94 × 10− 3 | mol m− 3 |
Michaelis-Menten constant for cellular component binding | 퐵푚푐 | 5.92 × 10− 2 | mol m− 3 |
Half saturation coefficient for extracellular protein binding | 퐾푝 | 7.81 × 10− 4 | mol m− 3 |
Half saturation coefficient for cellular component binding | 퐾푝푐 | 4.93 × 10− 6 | mol m− 3 |