title: Use of stochastic models to assess the effect of environmental factors on microbial growth.
abstract: We present a novel application of a stochastic ecological model to the study and analysis of microbial growth dynamics as influenced by environmental conditions in an extensive experimental data set. The model proved to be useful in bridging the gap between theoretical ideas in ecology and an applied problem in microbiology. The data consisted of recorded growth curves of Escherichia coli grown in triplicate in a base medium with all 32 possible combinations of five supplements: glucose, NH(4)Cl, HCl, EDTA, and NaCl. The potential complexity of 2(5) experimental treatments and their effects was reduced to 2(2) as just the metal chelator EDTA, the presumed osmotic pressure imposed by NaCl, and the interaction between these two factors were enough to explain the variability seen in the data. The statistical analysis showed that the positive and negative effects of the five chemical supplements and their combinations were directly translated into an increase or decrease in time required to attain stationary phase and the population size at which the stationary phase started. The stochastic ecological model proved to be useful, as it effectively explained and summarized the uncertainty seen in the recorded growth curves. Our findings have broad implications for both basic and applied research and illustrate how stochastic mathematical modeling coupled with rigorous statistical methods can be of great assistance in understanding basic processes in microbial ecology.
authors.affiliation: Department of Mathematics, University of Idaho, Moscow, ID 83844-1103, USA.
authors.forename: José Miguel
authors.initials: JM
authors.lastname: Ponciano
authors.forename: Frederik P J
authors.initials: FP
authors.lastname: Vandecasteele
authors.forename: Thomas F
authors.initials: TF
authors.lastname: Hess
authors.forename: Larry J
authors.initials: LJ
authors.lastname: Forney
authors.forename: Ronald L
authors.initials: RL
authors.lastname: Crawford
authors.forename: Paul
authors.initials: P
authors.lastname: Joyce
mesh_terms: D004492:Edetic Acid / Q000494:pharmacology; D004926:Escherichia coli / Q000254:growth & development*; D008954:Models, Biological; D012965:Sodium Chloride / Q000494:pharmacology; D013269:Stochastic Processes
chemical_list: D012965:Sodium Chloride; D004492:Edetic Acid