Table 2 Range of variability of the parameters in the bibliography.

From: Mathematical formulation and parametric analysis of in vitro cell models in microfluidic devices: application to different stages of glioblastoma evolution

 

Minimal value

Maximal value

Units

\(D_n\)

\(6.6 \times 10^{-12}\) (Martínez-González et al.48)

\(5.0 \times 10^{-5}\) (Wang et al.66)

\(\mathrm {cm^2/s}\)

\(C_{\mathrm {sat}}\)

\(1.0 \times 10^8\) (Hatout et al.67)

\(1.0 \times 10^{11}\) (Rockne et al.65)

\(\mathrm {cell/mL}\)

\(\chi\)

\(2.0 \times 10^{-10}\) (Bearer et al.75)

\(7.5 \times 10^{-4}\) (Ford et al.69)

\(\mathrm {cm^2/mmHg \cdot s}\)

\(\tau _g\)

\(5.8 \times 10^4\) (Gerlee et al.77)

\(7.2 \times 10^6\) (Agosti et al.68)

\(\mathrm {s}\)

\(\tau _d\)

\(1.7 \times 10^5\) (Martínez-González et al.48)

\(2.2 \times 10^6\) (Agosti et al.74)

\(\mathrm {s}\)

\(D_{O_2}\)

\(1.0 \times 10^{-5}\) (Agosti et al.74)

\(2.0 \times 10^{-5}\) (Daşu et al.87)

\(\mathrm {cm^2/s}\)

\(\alpha\)

\(2.5 \times 10^{-9}\) (Griguer et al.95)

\(7.5 \times 10^{-7}\) (Martínez-González et al.64)

\(\mathrm {mmHg \cdot mL/cell\cdot s}\)

\(O_2^T\)

2.5 (Daşu et al.87)

2.5 (Daşu et al.87)

\(\mathrm {mmHg}\)

\(O_2^H\)

7.0 (Vaupel et al.76)

30 (Agosti et al.68)

\(\mathrm {mmHg}\)

\(O_2^A\)

0.7 (Brown et al.86)

1.8 (Vital-López et al.71)

\(\mathrm {mmHg}\)

\(\Delta O_2^A\)

0.1 (Martínez-González et al.48)

3.0 (Vital-López et al.71)

\(\mathrm {mmHg}\)