Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat

Math Biosci. 2002 Sep-Oct;179(2):183-206. doi: 10.1016/s0025-5564(02)00105-0.

Abstract

A model of competition for two complementary nutrients between plasmid-bearing and plasmid-free organisms in a chemostat is proposed. A rigorous mathematical analysis of the global asymptotic behavior of the model is presented. The work extends the model of competition for a single-limited nutrient studied by Stephanopoulos and Lapidus [Chem. Engng. Sci. 443 (1988) 49] and Hsu, Waltman and Wolkowicz [J. Math. Biol. 32 (1994) 731].

MeSH terms

  • Bacteria / genetics*
  • Bacteria / growth & development
  • Bacteria / metabolism*
  • Bioreactors / microbiology*
  • Competitive Behavior*
  • Culture Media
  • Genetic Engineering
  • Models, Biological*
  • Numerical Analysis, Computer-Assisted
  • Plasmids / genetics*
  • Plasmids / metabolism*
  • Saccharomyces cerevisiae / genetics
  • Saccharomyces cerevisiae / metabolism
  • Sucrose / metabolism

Substances

  • Culture Media
  • Sucrose