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. 2020 Nov 25;10:20518. doi: 10.1038/s41598-020-77397-0

Table 1.

Description of the variables and parameters for the model system including the assigned parameter values and specification of units.

Variable Description
NTC (x¯,t) Number of tumor cells in the voxel at position x¯ at time t
D(x¯,t) Diffusion coefficient of tumor cells, where D (x¯,t)=D0exp(-γσvm(x¯,t))(mm2/day)
σvm Von Mises stress (kPa)
u Displacement vector due to tumor cell growth (mm)
G Shear modulus due to breast tissue properties, where G =E/(2(1-ν)) (kPa)
Ctissuedrug(x¯,t) Concentration of drug in the tissue in the voxel at position x¯ at time t (dimensionless)
Parameter Description Value
D0 Diffusion coefficient of tumor cells without stress Calibrated, mm2/day
γ Mechanical coupling coefficient for stress Assigned at 2.0 × 10–3 (1/kPa)
ν Poisson’s ratio Assigned, 0.45 (dimensionless)
E Young’s modulus for adipose, fibroglandular, and tumor tissues Assigned, 2 kPa, 4 kPa, and 20 kPa, respectively
λ Coupling constant for displacement of tumor cells Assigned as 2.5 × 10–3 (dimensionless)39
k(x¯) Proliferation rate of tumor cells per voxel Calibrated, 1/day
θ Carrying capacity of tumor cells in the voxel at position x¯ Calculated, 2.02 × 106 cells
α Efficacy of the chemotherapy Calibrated, 1/day
β Drug exponential decay rate Calibrated, 1/day
μ Efficacy of the targeted therapy Calibrated, 1/day