Improved pseudoanalytical solution for steady‐state biofilm kinetics

Pablo B. Sáez, Bruce E. Rittmann

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


Simple algebraic expressions for the flux of substrate into a steady‐state biofilm are developed. This pseudoanalytical solution, which eliminates the need for repetitiously solving numerically a set of nonlinear differential equations, is based on an analysis of the numerical results from the numerical solution of the differential equations. The critical advantage of this new pseudoanalytical solution is that it is highly accurate for the entire range of substrate concentrations and kinetic parameters. The article also illustrates that previous pseudoanalytical solutions for steady‐state biofilm kinetics are seriously inaccurate for certain ranges of substrate concentration and kinetic parameters.

Original languageEnglish (US)
Pages (from-to)379-385
Number of pages7
JournalBiotechnology and bioengineering
Issue number3
StatePublished - Jul 20 1988
Externally publishedYes

ASJC Scopus subject areas

  • Biotechnology
  • Bioengineering
  • Applied Microbiology and Biotechnology


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