Table 3 Final parameter ranges. A star means that one of the bounds is out of the range found in bibliography.

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

Symbol

Fitted value

Simulation range

Mean value

Units

\(D_n\)

\(6.6 \times 10^{-10}\)

\(5.0 \times 10^{-10}\)\(7.0 \times 10^{-10}\)

\(6.0 \times 10^{-10}\)

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

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

\(5.0 \times 10^7\)

\(5.0 \times 10^7\)(*)

\(5.0 \times 10^7\)(*)

\(\mathrm {cell/mL}\)

\(\chi\)

\(7.5 \times 10^{-9}\)

\(7.5 \times 10^{-9}\)\(15.0 \times 10^{-9}\)

\(11.3 \times 10^{-9}\)

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

\(\tau _g\)

\(7.2 \times 10^5\)

\(7.2 \times 10^5\)

\(7.2 \times 10^5\)

\(\mathrm {s}\)

\(\tau _d\)

\(1.7 \times 10^5\)

\(1.7 \times 10^5\)

\(1.7 \times 10^5\)

\({\mathrm {s}}\)

\(D_{O_2}\)

\(1.0 \times 10^{-5}\)

\(1.0 \times 10^{-5}\)\(2.0\times 10^{-5}\)

\(1.5\times 10^{-5}\)

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

\(\alpha\)

\(1.0 \times 10^{-9}\)

\(1.0 \times 10^{-9}\)\(3.0 \times 10^{-9}\)(*)

\(2.0 \times 10^{-9}\)

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

\(O_2^T\)

2.5

2.5

2.5

\(\mathrm {mmHg}\)

\(O_2^H\)

7

7

7

\(\mathrm {mmHg}\)

\(O_2^A\)

1.6

1.6

1.6

\(\mathrm {mmHg}\)

\(\Delta O_2^A\)

0.1

0.1

0.1

\(\mathrm {mmHg}\)