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M. M. Ballyk and G. S. K. Wolkowicz, “Exploitive Competition in the Chemostat for Two Perfectly Substitutable Resources,” Mathematical Biosciences, Vol. 118, No. 2, 1993, pp. 127-180. http://dx.doi.org/10.1016/0025-5564(93)90050-K

has been cited by the following article:

• TITLE: Comparing the Effects of Interactive and Noninteractive Complementary Nutrients on Growth in a Chemostat

  AUTHORS: James P. Braselton, Martha L. Abell, Lorraine M. Braselton

  KEYWORDS: Chemostat; Growth; Dual Substrate; Complementary Nutrients; Substitutable Nutrients

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.3 No.5, September 24, 2013

  ABSTRACT: We compare the effects of interactive and noninteractive complementary nutrients on the growth of an organism in the chemostat. We also compare these two situations to the case when the nutrients are substitutable. In previous studies, complementary nutrients have been assumed to be noninteractive. However, more recent research indicates that some complementary nutrient relationships are interactive. We show that interactive complementary and substitutable nutrients can lead to higher population densities than do noninteractive complementary nutrients. We numerically illustrate that if the washout rate is high, an organism can persist at higher densities when the complementary nutrients are interactive than when they are noninteractive, which can result in the extinction of the organism. Finally, we present an example by making a small adjustment to the model that leads to a single nutrient model with an intermediate metabolite of the original substrate as the nutrient for the organism.