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Table 2 Model parameters

From: Modeling rejection immunity

Paramaters Value Units Description
t 0 35 years minimum time considered by system, in days
t τ 40 years time in which transplantation occurs, in days
k e 1 μ g/l/year constant environment antigen entry into the body
k xec 1.5 μ l/cell/year×10−3 second order C dependent E elimination rate constant
k xsc 0.15 μ l/cell/year×10−3 second order C dependent S elimination rate constant
k xlc 0.7 μ l/cell/year×10−3 second order C dependent L elimination rate constant
k xuc 0.5 μ l/cell/year×10−3 second order C dependent U elimination rate constant
k xyc 0.5 μ l/cell/year×10−3 second order C dependent Y elimination rate constant
k xzc 1 μ l/cell/year×10−3 second order C dependent Z elimination rate constant
k xe 1 year−1 first order elimination rate from compartment E
k xl 0.7 year−1 first order elimination rate from compartment L
k xu 0.001 year−1 first order elimination rate from compartment U
k xy 0.001 year−1 first order elimination rate from compartment Y
k xz 1 year−1 first order elimination rate from compartment Z
k ls 1.5 year−1 first order transfer rate from compartment S to L
k zy 6 year−1 first order transfer rate from compartment Y to Z
k xc 1 year−1 first order elimination rate from compartment C
k xce 1 l/μ g/year second order E dependent C e elimination rate constant
k xcs 0.02 l/μ g/year second order S dependent C l elimination rate constant
k xcl 0.02 l/μ g/year second order L dependent C l elimination rate constant
k xcu 0.02 l/μ g/year second order U dependent C u elimination rate constant
k xcy 0.02 l/μ g/year second order Y dependent C z elimination rate constant
k xcz 0.02 l/μ g/year second order Z dependent C z elimination rate constant
k c 0.3 cell/μ l/year×103 basal lymphocyte production
k s 2 1/year first order S dependent S production and elimination rate
    constant
S 7 μ g/l allograft maximum regeneration rate
κf 0 ng/ml/year drug delivery rate - scenario 1 (no drug treatment)
κf 36500 ng/ml/year drug delivery rate - scenario 2 (moderate drug treatment)
κf 127750 ng/ml/year drug delivery rate - scenario 3 (high drug treatment)
k xf 365 1/year first order elimination rate from compartment F
k cacF 2.92 l/μ g/year T-cells production rate (T-cells clonal expansion), A and c
    dependent
S τ 1000 μ g/l antigen S concentration at time t τ
U τ 1000 μ g/l antigen U concentration at time t τ
Y τ 1000 μ g/l antigen Y concentration at time t τ
λ 0.01 ml/ng k cac decreasing coefficient, F dependent
E 0 1.38 μ g/l E initial condition
S 0 0 μ g/l S initial condition
L 0 0 μ g/l L initial condition
U 0 0 μ g/l U initial condition
Y 0 0 μ g/l Y initial condition
Z 0 0 μ g/l Z initial condition
F 0 0 ng/ml F initial condition
C e 0 1.1 cell/μ l×103 C E value at t=t0
C l 0 0.3 cell/μ l×103 C L value at t=t0
C u 0 0.3 cell/μ l×103 C U value at t=t0
C z 0 0.3 cell/μ l×103 C Z value at t=t0