r

d^{−1}

Tumor growth rate

0.4
 
Taken from [41]

TV_{max}

μL

Maximal size of tumor

2500
 
Taken from [41]

d_{0}

d^{− 1}

Spontaneous death rate of tumor cells

0.01
 
Assumed and to preserve d_{0} < < r, given the proportion of apoptotic vs. proliferating cells is minor, in growing syngeneic tumors [25].

k_{LN}

cells/d

Maximal influx rate of ^{n}T_{
eff
} cells

279

8

Estimated based on tumor growth data

S_{L}

n/a

T cell ability to infiltrate tumor tissue under systemic antigen exposure

8.89

13

Estimated based on tumor growth data

Ω_{SL}

n/a

Random effects on k_{
LN
}

0.696

10

Estimated based on tumor growth data

k_{pro}

d^{−1}

^{n}T_{
eff
} proliferation rate constant

3.0
 
Estimated based on a minimal duration (6 h) of the cell division cycle [42]

k_{dif}

d^{−1}

^{n}T_{
eff
} differentiation rate constant

3.2
 
Assumed, to preserve observed ^{n}T_{eff}/^{d}T_{eff} ratio in tumor tissue [43]

k_{el}

d^{−1}

^{n}T_{
eff
} elimination rate constant

0.2
 
Estimated based on halflife of primed T cells [42]

k_{apo}

d^{−1}

^{d}T_{
eff
} apoptosis rate constant

2.0
 
Estimated based on activated cytotoxic T cells in tissue [42]

e

d^{− 1}• cell^{− 1}

Rate of tumor cell kill by ^{d}T_{
eff
}

0.001
 
Assumed based on CD8^{+} cell density in CT26, controlling tumor regrowth after RT [12, 25]

K_{pdl}

cells

Sensitivity of PDL1 expression upregulation to ^{d}T_{
eff
} count

478

23

Estimated based on tumor growth data

k_{pdl}

d^{−1}

PDL1 upregulation rate constant

1.0
 
PDL1 response was assumed to reach a steadystate in about 1 day, as shown in vitro [44]

K_{tcd}

d^{− 1}

Sensitivity of DC_{
m
} to TCD value

0.2
 
Assumed to be sufficiently high to stimulate DC maturation in the TME [17]

S_{R}

n/a

Sensitivity of cellular immunosuppression to accumulation to systemic Ag level

30.5

12

Estimated based on tumor growth data

α

Gy^{− 1}

Linear component of radiation effect

0.146

9

Estimated based on tumor growth data

δ

Gy^{−1}

DSB formation per cell per Gy

19
 
Taken from [45]

τ

d (day)

DSB repair time

0.02
 
Taken from [46]

μ

d^{−1}

Elimination rate of radiationdamaged tumor cells

0.1725
 
Calculated from the halflife value [47]

V_{d}

L

Volume of distribution for PDL1 mAb i.p. PKPD model in mouse

0.003
 
Estimated from [48]

k_{a}

d^{−1}

i.p. absorption rate

8.0
 
Estimated from [48]

kel_{mAB}

d^{−1}

mAb elimination rate

0.15
 
Estimated from [48]

K_{D}

nM

mAb PDL1(PD1) binding affinity

30
 
Taken from internal data

a

μL

Constant component of residual error

21.2

13

Estimated based on tumor growth data

b

n/a

Proportional component of residual error

0.176

10

Estimated based on tumor growth data
