Research Article

Identification of Crucial Parameters in a Mathematical Multiscale Model of Glioblastoma Growth

Table 1

The maximal absolute sensitivity coefficients. This table summarizes for each parameter the maximum of the absolute values ( ) of the four different sensitivity coefficients ( , and ) among all factors and all tested initial glucose values ( ). The values are dimensionless (d.u.) and the initial glucose concentration values are given in g L−1.

d.u. [g L−1] d.u. [g L−1] d.u. [g L−1] d.u. [g L−1]

5.98 0.3 11.91 0.3 12.28 0.3 11.13 0.3
6.60 0.3 14.88 0.3 17.38 0.3 13.06 0.3
13.20 0.3 21.69 0.3 22.99 0.3 20.78 0.3
11.75 0.3 21.53 0.3 22.49 0.3 21.61 0.3
17.94 0.3 38.42 0.3 43.66 0.3 34.89 0.3
6.80 0.3 13.55 0.3 16.12 0.3 11.37 0.3
6.80 0.3 9.88 0.3 10.55 0.3 9.56 0.3
11.18 0.3 15.95 1.125 17.10 1.125 15.08 1.125
5.57 0.3 13.63 2.25 15.01 2.25 12.92 2.25
11.14 0.3 11.14 2.25 12.16 2.25 10.59 2.25
8.25 0.3 13.76 0.3 14.77 0.3 13.16 0.3
5.58 1.125 12.54 1.125 13.45 1.125 11.71 1.125
3.71 0.3 11.33 2.25 11.95 2.25 10.95 2.25
7.73 0.3 14.87 0.3 16.39 0.3 14.91 0.3
12.43 0.3 14.21 0.3 16.55 0.3 12.31 0.3
8.66 0.3 18.44 0.3 20.67 0.3 16.93 0.3
8.25 0.3 15.22 0.3 17.52 0.3 13.79 0.3
10.93 0.3 21.62 0.3 23.88 0.3 19.88 0.3
5.36 0.3 10.57 0.3 10.65 0.3 10.56 0.3
11.96 0.3 19.50 0.3 19.63 0.3 19.31 0.3
7.01 1.125 15.41 0.3 15.51 0.3 15.46 0.3
8.66 0.3 18.14 0.3 21.16 0.3 14.95 0.3
6.49 1.125 12.11 1.125 10.14 1.125 14.23 1.125
14.85 0.3 32.23 0.3 36.54 0.3 29.02 0.3
9.04 0.3 15.40 0.3 17.48 0.3 13.18 0.3
7.01 0.3 13.86 0.3 15.18 0.3 12.85 0.3
6.19 0.3 12.30 1.125 13.24 1.125 10.97 1.125
3.92 0.3 8.52 0.3 9.44 0.3 8.54 1.125
9.95 0.3 20.23 1.125 22.69 1.125 18.10 1.125
9.90 0.3 11.81 0.3 11.73 0.3 11.71 0.3
6.80 0.3 14.18 0.3 15.80 0.3 12.30 0.3