Table 3.
The parameter scalings whose combinations result in a decrease of the tumour expansion velocity and the tumour volume. The first and second column list the parameters (k l1) and factors (b n1) whose corresponding variations (k l1 · b n1) combined with the second parameter scalings (k l2 · b n2) (given for different initial glucose concentrations in the third (1.125 gL−1), fourth (2.25 gL−1), and fifth (4.5 gL−1) column) resulted in δM time > 0.01 and δM total < −0.01.
| k l1 | b n1 | k l2∗b n2 | ||
|---|---|---|---|---|
| 1.125 g L−1 | 2.25 g L−1 | 4.5 g L−1 | ||
| k 1 | 0.01 | — | — | k 7 · 100 |
| 10 | — | k 11 c2 · 5 | — | |
| 50 | k 10 · 0.01 | k 9 · 100; k 11 c2 · 10 | k 1 i · 0.01; k 9 · {50,100}; k 10 · 0.01 | |
|
| ||||
| k 1 i | 0.01 | — | k 8 · 50 | k 8 · 50 |
|
| ||||
| k 2 | 0.01 | — | — | k 4 · 0.01; k 7 · 0.01 |
| 50 | k 1 i · 0.01; k 9 · 100; k 10 · 0.01 | k 1 i · 0.01; k 9 · 100; k 10 · 0.01 | k 9 · 100; k 10 · 0.01; k 11 c2 · 10 | |
|
| ||||
| k 4 | 50 | k 2 · 100; k 3 · 0.01; k 10 · 100 | k 9 · 0.01 | k 8 · 100 |
|
| ||||
| k 7 | 50 | — | — | k 8 · 100; k 9 · 0.01 |
|
| ||||
| k 11 c2 | 5 | k 8 · 10; k 9 · 0.1; | k 3 · 0.01; k 4 · 0.1; | k 8 · 10; k 9 · 0.1 |
| k 10 · 10; k 12 · 5 | k 7 · 0.1; k 10 · 50 | |||
| 10 | k 12 · 10 | — | — | |
| 50 | k 8 · 100; k 9 · 0.01 | k 8 · 100; k 12 · 50 | k 8 · 100; k 9 · 0.01; k 10 · 100; k 12 · 50 | |
| 100 | — | k 12 · 100 | — | |