. 2018 Aug 24;7(8):507–516. doi: 10.1002/psp4.12312

Table 1.

Parameter estimates for the mechanism‐based disease progression model

Parameter

Description

Estimate

SE%

Bacterial dynamics

k_g (h^‐1)

First^t order rate constant for net bacterial growth

0.327

3.95

log (

k_{d N}

(cells^‐1 h^‐1))

Second order rate constant for bacterial killing by N

−7.71a

0.05

log (

k_{d N S 1}

(cells^‐1 h^‐1))

Second order rate constant for bacterial killing by NS1

−7.48a

0.06

log (

k_{d N S 2}

(cells^‐1 h^‐1))

Second order rate constant for bacterial killing by NS2

−7.00a

0.33

{C F U}_{0}

(cfu/mL)

Initial bacterial burden

‐b

Fixedc

Host immune response

k_{o u t_I L - 1 β}

(h^‐1)

First order loss rate constant for IL‐1β

0.122

3.68

S_{max_C F U_I L}

Capacity constant for CFU stimulating IL‐1β

94.7

5.46

log (

{S C}_{50_C F U_I L}

(cfu/mL))

Sensitivity constant for CFU stimulating IL‐1β (low/high inoc)

7.21/8.89a

0.43/0.35

I_{A C_I L}

(mL/pg)

Scaling factor for IL‐1β inhibition by AC

6.48 × 10^‐4

226

I L

‐

1 β_{0}

(pg/mL)

Baseline IL‐1β concentration

Fixedc

k_{o u t_T N F - α}

(h^‐1)

First order loss rate constant for TNF‐α

0.205

6.14

S_{max_C F U_T N F}

Capacity constant for CFU stimulating TNF‐α

64.2

5.14

log (

{S C}_{50_C F U_T N F}

(cfu/mL))

Sensitivity constant for CFU stimulating TNF‐α (low/high inoc)

8.06/8.20a

0.27/0.43

I_{A C_T N F}

(mL/pg)

Scaling factor for TNF‐α inhibition by AC

0.02

0.007

T N F

‐

α_{0}

(pg/mL)

Baseline TNF‐α concentration

Fixedc

k_{o u t_A C}

(h^‐1)

First order loss rate constant for AC

0.101

6.18

S_{max_C F U_A C}

Capacity constant for CFU stimulating AC

57.9

6.08

log (

{S C}_{50_C F U_A C}

(cfu/mL))

Sensitivity constant for CFU stimulating AC (low/high inoc)

8.96/8.92a

1.10/0.67

{A C}_{0}

(pg/mL)

Baseline AC concentration

Fixedc

k_{o u t_C I N C - 1}

(h^‐1)

First order loss rate constant for CINC‐1

1.75

12.5

S_{T N F - α}

(h^‐1)

Scaling factor for CINC‐1 stimulation by TNF‐α

4.12

12.4

C I N C

‐

1_{0}

(pg/mL)

Baseline CINC‐1 concentration

Fixedc

k_{τ l a g}

(h^‐1)

First order transit rate for N recruitment delay by CINC‐1

0.044

4.80

k_{i n_N}

(cells/h)

Production rate constant for N

6.61 × 10⁵

17.8

k_{o u t_N}

(h^‐1)

First order loss rate constant for N

1.12

16.3

S_{I L - 1 β_N}

(mL/pg)

Scaling factor for N stimulation by IL‐1β (low/high inoc)

2.52 × 10^‐2/6.51 × 10^‐3

10.3/9.55

S_{C I N C - 1}

(mL/pg)

Scaling factor for N stimulation by CINC‐1

4.93 × 10^‐4

11.3

N_{0}

(cells)

Baseline N count

28,230

Fixedc

k_{τ N S}

(h^‐1)

First order transit rate for NS

6.36 × 10^‐3

6.3

Lung injury

k_{i n_A L B}

(mcg/mL/h)

Production rate constant for ALB

1,012

7.9

k_{o u t_A L B}

(h^‐1)

First order loss rate constant for ALB

0.705

8.08

S_{I L - 1 β_A L B}

(mL/pg)

Scaling factor for ALB stimulation by IL‐1β

9.77 × 10^‐4

4.83

A L B_{0}

(mcg/mL)

Baseline ALB concentration

125

Fixedc

AC, anti‐inflammatory cytokine; ALB, albumin; high inoc, 3.50 × 10⁸, 4.32 × 10⁸, and 7.65 × 10⁹ cfu/mL initial inocula; CFU, bacterial burden; CINC‐1, cytokine‐induced neutrophil chemoattractant‐1; IL‐1β, interleukin‐1β; low inoc, 7.00 × 10⁶ and 5.76 × 10⁷ cfu/mL initial inocula; N, neutrophil; NS, neutrophil signaling; TNF‐α, tumor necrosis factor‐α.

Parameter reported as log₁₀ transformed estimate.

7.00 × 10⁶, 5.76 × 10⁷, 3.50 × 10⁸, 4.32 × 10⁸, or 1.00 × 10⁹ cfu/mL.

Parameter fixed to experimental values and comparable to previous studies.21, 22