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. 2016 Jan 22;12(1):e1004712. doi: 10.1371/journal.pcbi.1004712

Table 1. Dimensional model parameters and their estimates.

Parameter Meaning Value (original units) Value (non-dimensionalised) Reference
D c Oxygen diffusion coefficient 1.0 × 10−5 cm2 s−1 2.304 × 104 cell cycle−1 [57]
r c Maximal oxygen consumption rate 4.6 × 10−16 mol cell−1 s−1 51.54 cell cycle−1 [53]
r p Proliferative oxygen consumption 5 × r c [53]
Δx Average cell diameter 50 μm 1 cell diameter [55]
Δt Oxygen update time step 0.25 s 1 cell cycle / 230,400
τ Average cell cycle time 16 h 1 cell cycle [54]
c ap Hypoxic threshold 5.14 × 10−14 mol−1 cell−1 0.1 [56]
K m Effective Michaelis-Menten constant 5.14 × 10−15 mol−1 cell−1 0.01 [58]
c max Arterial oxygen concentration 5.14 × 10−13 mol−1 cell−1 1 [59]
μ H Healthy tissue metabolic constant 1 1
μ cancer/μ H Cancer metabolic ratio 2 2 [60]
p d Probability of death when c < c ap 0.25 cell cycle−1 0.25 cell cycle−1
p H Probability of division for healthy cell 0.005
p T Probability of division for tumour cell 0.01
c p Quiescence threshold 1.1c ap 0.11
K OER Effective OER constant 3.28 3.28 [13, 40, 61]
OERα,min = OERβ,min OER min constant 1 1 [13, 40, 61]
OERα,max OERα max constant 1.75 1.75 [13, 40, 61]
OERβ,max OERα max constant 3.25 3.25 [13, 40, 61]