Accurate pseudoanalytical solution for steady‐state biofilms

Pablo B. Sáez, Bruce E. Rittmann

Research output: Contribution to journalLetterpeer-review

59 Scopus citations


An extremely accurate pseudoanalytical solution for the flux of substrate into a steady‐state biofilm is developed. The standard deviations between the substrate fluxes computed from the pseudoanalytical solution and the numerical solution were less than 2.6%. Additional advantages of the pseudoanalytical solution are that it has no inaccuracies around S min* = 1 and it is composed of single continuous functions applicable to the whole S min* region.

Original languageEnglish (US)
Pages (from-to)790-793
Number of pages4
JournalBiotechnology and bioengineering
Issue number7
StatePublished - Mar 25 1992
Externally publishedYes


  • biofilms
  • kinetics
  • pseudoanalytical solution
  • steady state

ASJC Scopus subject areas

  • Biotechnology
  • Bioengineering
  • Applied Microbiology and Biotechnology


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