Table II.

Summary of the physical relevance and the range of variation of the parameters used in in silico models.

Single Species Parameters {e(S)i}	Range of variation	Physical significance
γ1, γ2	From 2–10 day−1 for in vivo experiments and from 1–10 hr−1 for in vitro culture experiments.	Growth rates of N1 and N2 respectively (Eqs. S1 and S2).
α11, α22	From 10−10 –10−7 CFU−1day−1 for in vivo experiments and from 10−9 -10−11 CFU−1hr−1 for in vitro culture experiments.	Strength of intraspecies interactions describing competition for resources.
kd11	From 0–200 day−1 for in vivo experiments.	The rate at which the immune response elicited by N1 eliminates N1.
kd22	From 0–200 day−1 for in vivo experiments.	The rate at which the immune response elicited by N2 eliminates N2.
KM1	From 106 –1011 CFU for in vivo experiments.	Michaelis constant (Eq. 2) for the immune response elicited by N1. When N1 >> KM1 the response saturates.
KM2	From 106 –1011 CFU for in vivo experiments.	Michaelis constant (Eq. 2) for the immune response elicited by N2. When N2 >> KM2 the response saturates.
Mixed Species parameters {e(M)i}
α12	From 10−9 –10−6 CFU−1day−1 for in vivo experiments and from 10−7 -10−11 CFU−1hr−1 for in vitro culture experiments.	Strength of the interspecies interaction induced by N2 on the N1 growth rate.
α21	From 10−9 –10−6 CFU−1day−1 for in vivo experiments and from 10−7 -10−11 CFU−1hr−1 for in vitro culture experiments.	Strength of the interspecies interaction induced by N1 on the N2 growth rate.
kd12	From 0–200 day−1 for in vivo experiments	The rate at which the immune response elicited by N2 eliminates N1.
kd21	Varied from 0–200 day−1 for in vivo experiments	The rate at which the immune response elicited by N1 eliminates N2.
Parameters used only for the culture models
Klag1, Klag2	Klag1 is varied from 1010 –1016 CFU2 and Klag2 from 109 –1014 CFU2 for in vitro experiments.	Effective parameters to incorporate the stunted growth phase of N1 and N2. When N1 and N2 become much larger than K1/2lag1 and K1/2lag2, the bacteria start to grow exponentially.

where γ₁ = r₁K₁, γ₂ = r₂K₂, α₁₁ = r₁α₁₁, α₁₂ = r₁α₁₂, α₂₁ = r₂α₂₁, and, α₂₂ = r₂α₂₂. A new parameter set (see Table S1) generated from a combination of these parameters was varied in a uniform distribution.