Accurate pseudoanalytical solution for steady‐state biofilms

Abstract

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 = 1 and it is composed of single continuous functions applicable to the whole S region.