Table 1

Model parameters and variable definitions
Symbol Description Value Unit
R Resource concentration Variable μgml−1
Ni Density of host strain i Variable cellsml−1
Vi Density of virus strain i Variable virionsml−1
Ninit Initial host density 4.6×104 cellsml−1
Vinit Initial virus density 8.1×105 virionsml−1
ω Chemostat dilution rate 0.0033 min−1
R0 Resource supply concentration 2.2 μgml−1
ε Resource conversion rate 2.6×10−6 μgcell−1
γ Maximum resource uptake rate 0.0123 μgmin−1
K Half-saturation constant 4 μgml−1
δi Growth scaling for host hi Range [δmin,δmax] scalar
δmin Min. growth scaling factor 0.8 scalar
δmax Max. growth scaling factor 1.2 scalar
ϕ Maximum adsorption rate 0.104×10−8 ml(mincell)−1
θij Ads. scaling for vj on hi Range [0,ϕ] scalar
β Burst size 71 virions
hi Genotype of bacteria i Range [0,1] scalar
vj Genotype of phage j Range [0,1] scalar
<a onClick="popup('http://www.biomedcentral.com/1471-2148/13/17/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/13/17/mathml/M1">View MathML</a> Resistance phenotype of bacteria i Range [0,1] scalar
<a onClick="popup('http://www.biomedcentral.com/1471-2148/13/17/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/13/17/mathml/M2">View MathML</a> Infection phenotype of phage j Range [0,1] scalar
hinit Initial bacteria genotype 0.2 scalar
vinit Initial phage genotype 0.2 scalar
s Specificity of phage 100 scalar
MB Host mutation rate 10−6 cell−1
MV Virus mutation rate 10−6 virion−1
σB Std. dev. of host mut. range 0.01 scalar
σV Std. dev. of virus mut. range 0.01 scalar
μB Bacterial mutation size Random variable scalar
μV Phage mutation size Random variable scalar
Δt Integration timestep 10 min
T Simulation duration 20×106 min
ρ Resolution of genotype diversity 0.01 scalar
L Chemostat volume 1 ml

Variables can change during a simulation, derived values are deterministically calculated from other variables/parameters. Numerical values are parameters fixed for the duration of a simulation.

Williams

Williams BMC Evolutionary Biology 2013 13:17   doi:10.1186/1471-2148-13-17

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