Table 1 Numerical parameters.

ParameterSymbolReference rangesIdentified valueUnit
Surface tensionσ(19): 1–201.2mN m−1
Tumor cells mobilityM2 × 10−16m5 s−1 J−1
Growth rateγt(4): 0.01–0.030.026s−1
Inhibition pressurep¯10.8kPa
Critical inhibition pressurep¯2(10,11): 2–152.0kPa
Inhibition mass fraction of oxygenω2¯(4): 3 × 10−6 to 4 ×∙10−68 × 10−6
Critical inhibition mass fraction of oxygenω1¯(4): 1 × 10−6 to 3 × 10−61 × 10−6
Pseudoconvective exchange coefficienthalgCalculated4.5 × 10−5s−1
Oxygen diffusion in the mediumDnm(30): 1.2 × 10−9 to 1.4 × 10−92.7 × 10−9m2 s−1
External mass fraction of oxygenωnextPrescribed9 × 10−6
Oxygen consumption due to metabolismγnm(4)2 × 10−3s−1
Oxygen consumption due to growthγng(4)2.6 × 10−3s−1
Spherical capsule inner radiusrsPrescribed90 × 10−6m
Cylindrical capsule inner radiusrcPrescribed52 × 10−6m
Tube heighthcPrescribed800 × 10−6m
Capsule and tubes wall thicknesstPrescribed30 × 10−6m