Numerical examples of threshold-awareness in adaptive cancer therapy
These examples are from the following paper:
And its Supplementary Materials:
Parameter values for Example 1 (EGT-based model):
- Benefit per unit of acidification: \(b_a = 2.5\)
- Benefit from the oxygen per unit of vascularization: \(b_v = 2\)
- Cost of production VEGF: \(c = 1\)
- Number of cells in the interaction group: \((n+1) = 5\)
- Maximum tolerated doses: \(d_{max} = 3\)
- Treatment time penalty: \(\delta = 0.05\)
- Stabilization barrier: \(\gamma_r = 0.01\)
- Failure barrier: \(\gamma_f = 0.99\)
Parameter values for Example 2 (SR model):
- Carrying capacity of the Petri dish: \(C = 4.8 \times 10^6\) cells
- Size ratio between S and R cells: \(m = 30\)
- Intrinsic growth rate of the Sensitive: \(g_S = 0.031 \; \mathrm{h}^{-1}\)
- Intrinsic growth rate of the Resistant: \(g_R = 0.026 \; \mathrm{h}^{-1}\)
- Maximum tolerated doses: \(d_{max} = 3\)
- Treatment time penalty: \(\delta = 0.05\)
- Drug efficiency: \(\alpha = 0.06 \; \mathrm{nM \cdot h}^{-1}\)
- Action of sensitive on resistant: \(\beta = 6.25 \times 10^{-7} \; \mathrm{cells \cdot h}^{-1}\)
- Remission barrier: \(\gamma_r = 0.01\)
- Failure barrier: \(\gamma_f = 0.99\)