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. Author manuscript; available in PMC: 2020 Oct 30.
Published in final edited form as: Comput Methods Appl Mech Eng. 2018 Jun 22;340:657–683. doi: 10.1016/j.cma.2018.06.009

Table 4:

Parameters for the species of the 2D angiogenesis example

Quantity Symbol Value Unit
Diffusion coefficient of oxygen in IF [15] D0nl 3.2 · 10−9 m2/s
Coefficient δ for nonlinear diffusion law of oxygen in IF [15] δ 2
Diffusion coefficient of TAF in IF [36] DTAFl 3.5 · 10−4 m2/s
Diffusion coefficient of NTC in TC [14] DNt 0 m2/s
Normal mass fraction of oxygen in tissue [17] ωenvnl¯ 4.2 · 10−6
Critical mass fraction of oxygen [17] ωcritnl¯ 1.0 · 10−6
Limit mass fraction of oxygen for hypoxia [36] ωhypnl¯ 4.0 · 10−6
Necrosis coefficient [17] γnecrosist 1 · 10−2 kg/(m3s)
Consumption related to growth [17] γgrowthnl 2 · 10−4 kg/(m3s)
Consumption related to normal metabolism [17] γ0nl 3 · 10−4 kg/(m3s)
Production rate of TAF under hypoxia [36] γproductionTAF 1 · 10−3 kg/(m3s)