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Table 2 Nominal model parameter values

From: Metabolic modeling of a chronic wound biofilm consortium predicts spatial partitioning of bacterial species

Parameter

Description

Value

Source

W

Biofilm thickness

80 μm

Specified

G b

Bulk glucose concentration

7.5 mmol/L

[75]

O a

Oxygen concentration at the biofilm-air interface

0.21 mmol/L

[103]

O b

Oxygen concentration at the tissue-biofilm interface

0 mmol/L

Specified

A b

Bulk acetate concentration

0 mmol/L

Specified

S b

Bulk succinate concentration

0 mmol/L

Specified

L b

Bulk lactate concentration

1.0 mmol/L

[75]

P b

Bulk pyocyanin concentration

0 mmol/L

Specified

\( {k}_{dX} \) , \( {k}_{dY} \)

Death rate constants

0–0.01 h−1

Calculated

k L

Pyocyanin-associated death rate constant

0.4 mmol/gDW/h

Specified

k dP

Pyocyanin flux bound

0.1 L/mmol/h

Specified

Z max

Maximum biomass concentration

200 g/L

[46]

km G , km A , km S , km L , km P

Mass transfer coefficients for glucose, acetate, succinate, lactate and pyocyanin

2.0 × 10−4 cm/s

Specified

D WG

Aqueous diffusion coefficient for glucose

9.4 × 10−6 cm2/s

[67]

D WO

Aqueous diffusion coefficient for oxygen

26.8 × 10−6 cm2/s

[67]

D WA

Aqueous diffusion coefficient for acetate

16.2 × 10−6 cm2/s

[67]

D WS

Aqueous diffusion coefficient for succinate

12.6 × 10−6 cm2/s

[67]

D WL

Aqueous diffusion coefficient for lactate

12.1 × 10−6 cm2/s

[104]

D WP

Aqueous diffusion coefficient for pyocyanin

7.2 × 10−6 cm2/s

Specified

a G , a S , a L , a P

Adjustable parameter for glucose, succinate, lactate and pyocyanin in Eq. (6)

0.33

Fitted

a O

Adjustable parameter for oxygen in Eq. (6)

0.19

Fitted

a A

Adjustable parameter for acetate in Eq. (6)

0.36

Fitted

X 0 , Y 0

Initial biomass concentrations

1 g/L

Specified

k A

Aerotaxis rate constant

5 × 10−8 cm2. L/mmol. s

Specified

km O

Oxygen mass transfer coefficient

2.0 × 10−2 cm/s

Specified