Effects of spatial structure and diffusion on the performances of the chemostat

Math Biosci Eng. 2011 Oct 1;8(4):953-71. doi: 10.3934/mbe.2011.8.953.

Abstract

Given hydric capacity and nutrient flow of a chemostat-like system, we analyse the influence of a spatial structure on the output concentrations at steady-state. Three configurations are compared: perfectly-mixed, serial and parallel with diffusion rate. We show the existence of a threshold on the input concentration of nutrient for which the benefits of the serial and parallel configurations over the perfectly-mixed one are reversed. In addition, we show that the dependency of the output concentrations on the diffusion rate can be non-monotonic, and give precise conditions for the diffusion effect to be advantageous. The study encompasses dead-zone models.

Publication types

  • Comparative Study
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Bacteria / growth & development*
  • Bioreactors / microbiology*
  • Computer Simulation
  • Diffusion
  • Ecosystem
  • Models, Biological*