Table 2 Model parameters in the high nutrient case.
From: A mathematical model of quorum sensing regulated EPS production in biofilm communities
Parameter | Description | Source | Value |
|---|---|---|---|
κ 10 | Rate of C consumption by M0 | W | 923 |
κ 11 | Rate of C consumption by M1 | W | 1846 |
κ 12 | Rate of C consumption by M2 | W | 923 |
κ 13 | Rate of C consumption by M3 | W | 1846 |
κ 2 | Monod half sat. const. | W | 0.02 |
κ 3 | Max specific growth rate of bacteria | H | 1.0 |
κ 4 | Bacterial lysis rate | W | 0.2083 |
κ 5 | Quorum sensing upregulation rate | F | 2.5 |
κ 6 | Monod half sat. const. | H | 0.04 |
δ | EPS conversion to C rate (C equation), if included | H | 0.28 |
| EPS conversion to C rate (EPS equation), if included | H | 11.2 |
σ | Abiotic degradation rate of AHL | F | 0.1109 |
α | Constitutive production rate of AHL | F | 920 |
β | Induced production rate of AHL | F | 9200 |
n | Degree of polymerisation | F | 2.5 |
γ 0 | M0 EPS production rate | H | 0.84 |
γ 1 | M1 EPS production rate | H | 8.4 |
γ 2 | M2 EPS production rate | H | 0.84 |
γ 3 | M3 EPS production rate | H | 8.4 |
M max | Maximum cell density | H | 24·103 |
EPS max | Maximum EPS density | H | 4·103 |
D C (0), (1) | Substrate diffusion coefficients | ES | 0.67, 0.54 |
D AHL (0), (1) | AHL diffusion coefficients | HR | 0.52, 0.26 |
a | Diffusion coefficient parameter | ES | 4.0 |
b | Diffusion coefficient parameter | ES | 4.0 |
d M | Biomass motility coefficient | ES | 6.67e-09 |
H/L | Channel aspect ratio | ES | 0.1 |
