Figure 1.
Simulating the one step growth curve using a normal distribution function (equations 6–14).
Legend: • experimental data; … data from the model using the average value of the latent period (equations 6–12); ___ data from the model using a distribution of values of the latent period (introduction of equations 13 and 14). The x axis represents time in hours.
Table 1.
Phage-bacteria interaction parameters determined experimentally.
Figure 2.
Simulating the phage and bacteria population dynamics using a distribution of values of the latent period (equations 6–14) in a 250 ml Erlenmeyer flask for a MOI = 1.8E10−2.
Legend: • experimental data; ___ model simulation; - . - model simulation of susceptible uninfected bacteria (Xs); … model simulation of infected bacteria (Xi); _ _ model simulation of resistant bacteria (Xr). The x axis represents time in hours.
Figure 3.
Simulating the phage and bacteria population dynamics using a distribution of values of the latent period (equations 5 and 13) in a 5 L bioreactor for a MOI = 5.1E10−4.
Legend: • experimental data; ___ model simulation; - . - model simulation of susceptible uninfected bacteria (Xs); … model simulation of infected bacteria (Xi); _ _ model simulation of resistant bacteria (Xr). The x axis represents time in hours.
Figure 4.
Simulating the phage and bacteria population dynamics using a distribution of values of the latent period and a variation of the adsorption constant (δ) as a function of the bacterial growth rate (µ) in a 250 ml Erlenmeyer flask for a MOI = 1.8E10−2.
Legend: • experimental data; ___ model simulation; - . - model simulation of susceptible uninfected bacteria (Xs); … model simulation of infected bacteria (Xi); _ _ model simulation of resistant bacteria (Xr). The x axis represents time in hours.
Figure 5.
Simulating the phage and bacteria population dynamics using a distribution of values of the latent period and a variation of the adsorption constant (δ) as a function of the bacterial growth rate (µ) in a 5 l bioreactor for a MOI = 5.1E10−4.
Legend: • experimental data; ___ model simulation; - . - model simulation of susceptible uninfected bacteria (Xs); … model simulation of infected bacteria (Xi); _ _ model simulation of resistant bacteria (Xr). The x axis represents time in hours.
Figure 6.
Simulating the phage and bacteria population dynamics using a distribution of values of the latent period and a variation of the adsorption constant (δ) as a function of the bacterial growth rate (µ) in a 5 l bioreactor for a MOI = 2.8E10−3.
Legend: • experimental data; ___ model simulation; - . - model simulation of susceptible uninfected bacteria (Xs); … model simulation of infected bacteria (Xi); _ _ model simulation of resistant bacteria (Xr). The x axis represents time in hours.
Figure 7.
OAT sensitivity analysis of model parameters using as the base-case data from Figure 5.
Legend: • experimental data; ___ model simulation when increasing the parameter in 10%; - . - model simulation when decreasing the parameter in 10%. The text on the left side of each line graph identifies the parameter being analysed. µmax: maximum rate of exponential growth, Ks: half-saturation constant, α: substrate needed for a new bacterium, β: burst size, τ: the latent period, ρ: rise period, λ: lambda parameter used in equation 15, δr: experimental determined adsorption rate, mSr: bacterial growth rate at which the adsorption rate was calculated, The x- and y-axis are the same as Figure 5 (x: time [1 8] hours, ySubstrate: [0 5000]; yBacteria: [107 1010]; yPhage: [105 1012]).
Figure 8.
Variations in the model simulation when varying each of the state variables alone in 10% (using as the base case the data from Figure 5).
Legend: • experimental data; ___ model simulation when increasing the variable in 10%; - . - model simulation when decreasing the variable in 10%. The text on the left side of each line graph identifies the variable being analysed. Δ(Si): variation in initial substrate concentration, Δ(Xti): variation in initial total bacteria concentration, Δ(Pi): variation in initial free phage concentration. The x- and y-axis are the same as Figure 5 (x: time [1 8] hours, ySubstrate: [0 5000]; yBacteria: [107 1010]; yPhage: [105 1012]).