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Table 3 Model parameters

From: A qualitatively validated mathematical-computational model of the immune response to the yellow fever vaccine

Parameter Equation Description Value
π V 1 Viral replication rate 4.0 (day−1)
c v1 1 Maximum viral clearance rate by the innate system 2 × 103 (virus titer×day−1)
c v2 1 Half saturation constant 3 × 101 (virus titer)
k v1 1 YFV neutralization rate per unit of neutralizing antibodies 4.875 × 10−4 (day−1×A−1)
k v2 1 YFV neutralization rate per unit of CD8 + T cells 1.5694 × 10−3\(\left (\text {day}^{-1} \times T_{E}^{-1}\right)\)
α A P 2 Homeostasis rate of immature APCs 2.5 × 10−3 (day−1)
\(\beta _{A_{P}}\) 2,3 APC maturation rate 3.0 × 10−1 (day−1)
\(k_{A_{P1}}\) 2,3 With \(\beta _{A_{P}}\), defines the minimum production rate of A PM 1.0 (dimensionless)
\(k_{A_{P2}}\) 2,3 Defines the saturation point of A PM 2 × 102 (virus titer)
\(\delta _{A_{PM}}\) 3 Death rate of mature APCs 5.38 × 10−1 (day−1)
\(\alpha _{T_{N}}\) 4 Homeostasis rate of CD8 + T cells 2.17 × 10−4 (day−1)
π T 4,5 Activation rate of naïve CD8 + T cells 1 × 10−2 (day−1)
\(k_{T_{E}}\) 5 Replication rate of effector CD8 + T cells 1 × 10−5 (day−1)
\(\delta _{T_{E}}\) 5 Death rate of effector CD8 + T cells 1 × 10−1 (day−1)
α B 6 Homeostasis rate of B cells 6.0 (day−1)
π B 6 Replication rate of active B cells 1.77 × 10−3 (day−1)
β S 6,7 Differentiation rate of active B cells in short-lived plasma cells 6.72 × 10−1 (day−1)
β L 6,8 Differentiation rate of active B cells in long-lived plasma cells 8.05 × 10−3 (day−1)
β BM 6,9 Differentiation rate of active B cells in memory B cells 1 × 10−3 (day−1)
δ S 7 Death rate of short-lived plasma cells 2.0 (day−1)
δ L 8 Death rate of long-lived plasma cells 2.22 × 10−4 (day−1)
γ M 8,9 Differentiation rate of memory B cells in long-lived plasma cells 1.95 × 10−6 (day−1)
\(k_{B_{M1}}\) 9 Proliferation rate of memory B cell 1 × 10−5 (day−1)
\(k_{B_{M2}}\) 9 Maximum growth constant 10.0 (B M )
π AS 10 Antibody secretion rate (short-lived plasma cell) 5 × 10−1 (day−1)
π AL 10 Antibody secretion rate (long-lived plasma cell) 1.7 × 10−1 (day−1)
δ A 10 Antibody death rate 4 × 10−2 (day−1)a
  1. The value marked with a was extracted from [66, 67] apud [68]