Parameter | Description | Value | Source |
---|---|---|---|
W | Biofilm thickness | 80 μm | Specified |
G b | Bulk glucose concentration | 7.5Â mmol/L | [75] |
O a | Oxygen concentration at the biofilm-air interface | 0.21Â mmol/L | [103] |
O b | Oxygen concentration at the tissue-biofilm interface | 0Â mmol/L | Specified |
A b | Bulk acetate concentration | 0Â mmol/L | Specified |
S b | Bulk succinate concentration | 0Â mmol/L | Specified |
L b | Bulk lactate concentration | 1.0Â mmol/L | [75] |
P b | Bulk pyocyanin concentration | 0Â mmol/L | Specified |
\( {k}_{dX} \) , \( {k}_{dY} \) | Death rate constants | 0–0.01 h−1 | Calculated |
k L | Pyocyanin-associated death rate constant | 0.4Â mmol/gDW/h | Specified |
k dP | Pyocyanin flux bound | 0.1Â L/mmol/h | Specified |
Z max | Maximum biomass concentration | 200Â 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 | 1Â 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 |