Table 3 Model parameters

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