Table 1.
Expression | Description | Value |
---|---|---|
rCj | Growth rate for Campylobacter strain j. | 0.3009 |
r2 | Growth rate for other bacteria (B). | 0.1407 |
α1 | Campylobacter competition coefficient. | 0.9744 |
α2 | Other bacteria competition coefficient. | 1 |
γCj | Rate of inhibition by host defense peptides (P) on Campylobacter strain j. | 0.6358 |
ξj | Rate of host defense peptide growth in response to Campylobacter strain j. | 0.7411 |
b | Rate of broiler shedding Campylobacter into the environment, Ej. | 10 |
Ω | Total environmental carrying capacity of Campylobacter. | 200, 000* |
dCj | Death rate of Campylobacter strain j. | 0.0185 |
d2 | Death rate of other bacteria. | 0.0212 |
d3 | Decay rate of host defense peptides. | 0.0463 |
d4 | Decay rate of maternal antibodies. | 0.0046 |
d5 | Death rate of Campylobacter in the environment. | 0.05 |
βCj | Rate of inhibition by other bacteria on Campylobacter strain j. | 0.0276 |
σCj | Rate of inhibition by maternal antibodies on Campylobacter strain j. | 0.0661 |
ηCj | Scaling factor applied to stochastic Campylobacter growth in the gut. | 0.01 |
ηBCj | Scaling factor applied to stochastic Campylobacter inhibition by other competing bacteria. | 0.0847 |
η2 | Scaling factor applied to stochastic competing bacteria (B) growth. | 0.01 |
η3 | Scaling factor applied to stochastic host defense peptide (P) growth. | 0.01 |
η4 | Scaling factor applied to stochastic maternal antibody (M) decay. | 0.01 |
η5 | Scaling factor applied to stochastic Campylobacter growth in the environment. | 0.01 |
Descriptions for all parameter values appearing in the final stochastic model, Equations (14–18). Baseline values are given, used for model validation and simulation case studies. Values were calculated by using simulated annealing to identify a parameter set that best fits the experimental data of Achen et al. (1998) (Figure 2). See Appendix S2 in Supplementary Material for an explanation of simulated annealing.
Ω value is dependent on the experiment specifics for model validation, but flock case studies consider a flock of 400 chickens, and an Ω value of 200,000.