D. Demetz et P. Dantigny, Influence of the growth rate calculation on the relationship between growth rate and temperature, LETT APPL M, 30(4), 2000, pp. 272-276
Three calculations of the growth rate (e.g. slope of a plot of the log(10)
of cfu ml(-1) vs time, mu(m) of the Gompertz equation and the reciprocal of
time to obtain 10(8) cfu ml(-1)) were compared for Escherichia coli TG1 gr
owing in tryptone soy broth medium at temperatures ranging from 14 to 39 de
grees C. Up to now, the influence of using such different definitions on th
e relationship between microbial growth rate and temperature has never been
investigated. In order to compare these calculation procedures, a dimensio
nless analysis based on the following normalized variables, mu(dim) = mu/mu
(opt) and T-dim = [T-T-min]/[T-opt-T-min], was used (Dantigny 1998). The in
fluence of suboptimal temperatures on the growth rate was represented by me
ans of a Belehradek-type model based on a power function law: [mu(dim)] = [
T-dim](alpha). The influence of the different growth rate calculations on t
he model constants was assessed. Despite the great dependence of the raw gr
owth rate values on the calculation procedure, the dimensionless analysis d
emonstrated that the alpha-value is independent of the growth rate definiti
on. This result suggests that any definition for the growth rate can be uti
lized in studies aimed at determining the influence of temperature on micro
bial growth and highlights the interest of using dimensionless variables to
overcome differences in the order of magnitude of the growth rate data and
to avoid confusion between definitions.