Premium
Improved pseudoanalytical solution for steady‐state biofilm kinetics
Author(s) -
Sáez Pablo B.,
Rittmann Bruce E.
Publication year - 1988
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260320318
Subject(s) - steady state (chemistry) , substrate (aquarium) , kinetics , nonlinear system , algebraic equation , kinetic energy , flux (metallurgy) , simple (philosophy) , thermodynamics , differential equation , range (aeronautics) , chemistry , mathematics , materials science , mathematical analysis , physics , classical mechanics , philosophy , quantum mechanics , epistemology , composite material , geology , oceanography , organic chemistry
Abstract 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.