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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
Greek letters
Biot's coefficient
β coefficient for the interpolation of the growth curve
γgrowtht
growth coefficient
γnecrosist
necrosis coefficient
γgrowthnl¯
nutrient consumption coefficient related to growth
γ0nl¯
nutrient consumption coefficient not related to growth
θα¯¯
macroscale temperature of the phase α
δ exponent in the effective diffusion function for the oxygen
δat
additional necrosis induced by pressure excess
δliving coefficient for the interpolation: thickness of the viable rim of tumor cells
ε porosity
εα volume fraction of the phase α
μα dynamic viscosity of the phase α
ρα density of the phase α
σc coefficient in the pressure-saturations relationship
ςα¯ chemical potential
Ψα¯ gravitational potential
χα solid surface fraction in contact with the phase α
ωNt¯
mass fraction of necrotic cells in the tumor cells phase
ωnl¯
nutrient mass fraction in liquid.
ωcritnl¯
critical nutrient mass fraction in liquid for growth
ωenvnl¯
reference nutrient mass fraction in the environment