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. Author manuscript; available in PMC: 2014 Feb 17.
Published in final edited form as: New J Phys. 2013 Jan;15:015005. doi: 10.1088/1367-2630/15/1/015005

Table 2. Input parameters used to simulate the first case.

Parameter Symbol Value Unit
Density of the phases ρ 1000 kg/m3
Diffusion coefficient of oxygen in the interstitial fluid
D0nl¯
3.2·10-9 m2/sec
Coefficient δ (eqn (21)) δ 2.00
Intrinsic permeability for interstitial fluid phase kls 1.8·10-15 m2
Intrinsic permeability for tumor cell phase kts 5·10-20 m2
Adhesion of tumor cells (to ECM) at 1·106 N/m3
Growth coefficient of tumor cells (eqn (18))
γgrowtht
0.016
Critical mass fraction of oxygen (eqs (18,20))
ωcritnl¯
3·10-6
Critical pressure for cell growth (eqs (18,20))
pcritt
1330 Pa
Necrosis coefficient (eqn (19))
γnecrosist
0.016
Cells pressure above which necrosis occurs (eqn (19))
pnecrt
930 Pa
Pressure dependent additional necrosis (eqn (19))
δat
5·10-4
Consumption coefficient related to growth in eqn (20)
γgrowthnl¯
4·10-4
Consumption coefficient related to metabolism in eqn (20)
γ0nl¯
6·10-4
Coefficient σc in eqn (28) σc 532 Pa
Coefficient b in eqn (28) b 1