Table S1. Overview of the parameter values implemented in the bioluminescence-oxygen
model.
Model Parameter
Value
Unit
Reference
Luciferin oxidation (living cells)
mol olc /
(mol luc · s)
Fitted
(Fig. 2E)
kcat (catalytic rate constant, CRC)
1.1 x 10-3
kcat,21,1 (CRC, 21% O2)
1
-
kcat21,2 (CRC, 21% O2)
1.01 x 10-1
-
kcat,0 (CRC, 0% O2)
6 x 10-3
-
I21,1 (exponential decay constant,
21% O2)
-180
s-1
Measured
(Fig. 2E)
I21,2
-27
s-1
Measured
(Fig. 2E)
I0 (exponential decay constant, 0%
O2)
-3
s-1
Measured
(Fig. 2E)
kd,Dluc (luciferin decay constant)
4.83 x 10-6
s-1
Ignowski et al.
[20]
Γ (Molecular crowding factor)
1.5
-
Fitted
(Fig. 2E)
κ21 (transition threshold, 21% O2)
0.1
-
Fitted
(Fig. 2E)
κ0 (transition threshold, 0% O2)
15
-
Fitted
(Fig. 2E)
†
Luciferin oxidation (recombinant luciferase)
kcat (catalytic rate constant, CRC)
1.12 x 10
-1
mol olc /
(mol luc · s)
Fitted
(Fig. 2A,B)
kcat,21 (CRC, 21% O2)
1
-
kcat0 (CRC, 0% O2)
0.18
-
S21
60
-
Measured
(Fig. 2A,B)
-3948
s-1
Measured
(Fig. 2A,B)
I21 (exponential decay constant,
21% O2)
S0 (exponential decay constant,
0% O2)
I0
382
-
-1452
-
Km,21 (Michaelis constant, 21% O2)
4.26 x 10
Km,0 (Michaelis constant, 0% O2)
9.38 x 10
-2
-1
Measured
(Fig. 2A,B)
mol m
mol m
-3
-3
Measured
(Fig. 2A,B)
Measured
(Fig. 2A,B)
Luciferin diffusion
DDluc,A (diffusivity in agarose)
9.27 x 10-10
m2 s-1
Measured
(Fig. S2)
DDluc,w
(diffusivity in DMEM)
1.00 x 10-9
m2 s-1
Measured
(Fig. S2)
DDluc,m
(diffusivity in cell memebrane)
8 x 10-11
m2 s-1
Fitted
(Fig. 2E)
λc (thickness cell membrane)
4 x 10-9
m
Ignowski et al.
[20]
Ac (Surface area cell membrane)
3.14 x 10-10
m2
10 μm sphere
Luciferase production
-23
ks,luc (luciferase synthesis rate)
7.64 x 10
kd,luc (luciferase decay constant)
8.33 x 10
-5
-1 -1
mol cell s
Calculated for
constitutive
promotor (i.e.
equals kd,luc · cluc)
Ignowski et al.
[20]
-1
s
Light production
RLU (recombinant luciferase)
RLU (living cells)
1.38 x 10
1.38 x 10
-1
-2
-1
-2
7
p s cm /
(mol olc)
7
p s cm /
(mol olc)
Measured
(Fig. 2A,B)
Oxygen diffusion
-9
DO2,w (diffusivity in water)
3 x 10
DO2,a (diffusivity in agarose)
1 x 10
-9
m s
2
-1
Demol et al. [49]
2
-1
Hulst et al. [45]
m s
Note: †olc, oxyluciferin complex.