Research Article

Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy

Table 2

Parameters used in simulation.

ModelParameterDescriptionValue and unit

Tumor growth parameter0.192 day−1
Endothelial stimulation parameter5.85 day−1
Endothelial inhibition parameter0.00873 day−1 mm−2/3
Natural mortality of endothelial cells0 day−1
Hahnfeldt et al. [12] Antiangiogenic killing parameter0.15 kg mg−1
Cytostatic killing parameter for endothelial cells0.26 kg mg−1
Cytostatic killing parameter for cancer cells0.34 kg mg−1
Dose of angiogenic inhibitor2 mg kg−1 day−1
Dose of cytotoxic drugs2 mg kg−1 day−1

Hahnfeldt et al. with “pruning” effect [25]Same as in the previous model, is different.
Cytostatic killing parameter for cancer cellsDepends on vessel density, calculated by equation:
  
where, , ,

Tumor growth parameter0.192 day−1
Immature endothelial stimulation parameter5.85 day−1
Immature endothelial inhibition parameter0.00873 day−1 mm−2/3
Unstable vessels maturation parameter0.0756 day−1
Benzekry et al. [13] Natural mortality of mature endothelial cells0.075 day−1
Antiangiogenic killing parameter6.85 × 10−7 mg−1 mm−1
Cytostatic killing parameter for cancer cells1.37 × 10−5 mg−1 mm−1
Dose of angiogenic inhibitor525 mg day−1 (half dose during continuous treatment)
Dose of cytotoxic drugs212 mg week−1 (half dose during continuous treatment)

Three-compartment [28] Average transit times through compartments0.02 day
Average transit times through compartments0.2 day
Probability of mutation to resistant cell0.9
Probability of mutation to sensitive cell0
Endothelial stimulation parameter5.85 day−1
Endothelial inhibition parameter0.00873 day−1 mm−2/3
Antiangiogenic killing parameter9.1 kg mg−1
Cytostatic killing parameter for endothelial cells4.7 kg mg−1
Dose of angiogenic inhibitor1 mg kg−1 day−1
Dose of cytotoxic drug1 mg kg−1 day−1