Table 1.

Model parameterization.

Parameters	Value	Units	Description
δx	20	µm	Diameter of CA grid point
pD	0.005	1/d	Normal tissue death rate
p▵	0.7	1/d	Death probability in poor conditions
pn	5e-4	1/d	Necrotic turnover rate
DO	1820	µm2/s	Diffusion rate of oxygen
Dg	500	µm2/s	Diffusion rate of glucose
DH	1080	µm2/s	Diffusion of protons
OO	0.0556	mmol/L	Oxygen concentration in blood
GO	5	mmol/L	Glucose concentration in blood
pHO	7.4	pH	pH of blood
VO	0.012	mmol/L/s	Maximal oxygen consumption
kO	0.005	mmol/L	Half-max oxygen concentration
kG	0.04	mmol/L	Half-max glucose concentration
kH	2.5e-4	–	Proton buffering coefficient
Ad	0.35	–	ATP threshold for death
Aq	0.8	–	ATP threshold for quiescence
pH,min	6.1	pH	Maximal acid resistance phenotype
pH,norm	6.65	pH	Normal acid resistance phenotype
ΔH	0.003	pH	Phenotype variation rate (acid res.)
pG,max	50	–	Maximal glycolytic phenotype
ΔG	0.15	–	Phenotype variation rate (glycolysis)
τmin	0.95	Days	Minimum cell cycle time
σmin	80	µm	Minimum vessel spacing
σmean	150	µm	Mean vessel spacing
vmean	[5, 100]	Days	Vessel stability
pang	[0, 1]	–	Angiogenesis rate
TM	1	–	Probability T-cell moves
τT	4	–	T-cell response delay
αT	[1e-4,1e-1]	–	T-cell recruitment rate
βT	10	Days	Non-activated T-cell decay
pP,min	5	–	Maximal PD-L1 phenotype
pP,norm	2.7	–	Normal PD-L1 phenotype
ΔP	[0,1]	–	Phenotype variation rate (PD-L1)
de	0.042	Days	T-cell engagement duration
He	6.6	–	half-max pH T-cell engagement time
σe	4	–	steepness of T-cell engagement time
Hp	6.6	–	half-max pH T-cell engagement probability
σp	6	–	steepness of T-cell engagement probability
Li	65.35	percent	T-cell survival rate in high glucose
L0	21.78	percent	T-cell survival rate in low glucose
Lg	-16.67	percent	T-cell glucose deprivation parameter
DA	100	µm2/s	Anti-PD-L1 diffusion parameter
γA	0.5	1/s	Anti-PD-L1 natural decay rate
γP	0.001	1/s	Cellular bound PD-L1 decay rate