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. 2012 Nov 14;74(12):2875–2896. doi: 10.1007/s11538-012-9786-1

Table 1.

Values of the biological parameters used into our model equations

Variable Description Value References
C (M) Maximum tumor cell density 106 cell/cm2 Rockne et al. (2010)
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$O_{2}^{(S)}$\end{document} Oxygen concentration switch to hypoxia 7 mmHg Vaupel (2004)
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$O_{2}^{(T)}$\end{document} Michaelis Menten oxygen threshold 2.5 mmHg Daçu et al. (2003)
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$O_{2}^{(D)}$\end{document} Oxygen level for anoxia 0.7 mmHg Brown and Wilson (2004)
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$O_{2}^{v_{i}},{i=1,2}$\end{document} Vessel oxygen concentration 60 mmHg

Wilson (2008)

Kimura et al. (1996)

α n Normoxic cell oxygen consumption 10−17 Mol/(c s) Griguer et al. (2008)
α h Hypoxic cell oxygen consumption α n/5 Mol/(c s) Griguer et al. (2008)
D n Diffusion coefficient for normoxic cells 6.6⋅10−12 cm2/s

Tjia and Moghe (2002)

Wang et al. (2009)

D h Diffusion coefficient for hypoxic cells 10 D n cm2/s

Tjia and Moghe (2002)

Wang et al. (2009)

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$D_{O_{2}}$\end{document} Oxygen diffusion coefficient 10−5 cm2/s Mueller-Klieser and Sutherland (1984)
τ nh Phenotype switch time (normoxic to hypoxic) 1 h Jewell and Gassmann (2001)
τ hn Phenotype switch time (hypoxic to normoxic) 96 h Estimated
τ hd Cell death mean time in anoxia 48 h Estimated
τ n Normoxic cell doubling time 24 h Ke et al. (2000)
τ h Hypoxic cell doubling time 48 h

Giese et al. (2003)

Berens and Giese (1999)

ΔO 2 Sensitivity around transition threshold 0.1 Mol/mm3 Estimated
J Oxygen exchange coefficient 0.1 cm Mazumdar (1992)