Metabolism of a low-solubility
substrate is limited by dissolution
and availability and can hardly be determined. We developed a numerical
model for simultaneously calculating dissolution kinetics of such
substrates and their metabolism and microbial growth (Monod kinetics
with decay) and tested it with three aerobic phenanthrene (PHE) degraders: Novosphingobium pentaromativorans US6-1, Sphingomonas sp. EPA505, and Sphingobium yanoikuyae B1. PHE
was present as microcrystals, providing non-limiting conditions for
growth. Total PHE and protein concentration were tracked over 6–12
days. The model was fitted to the test results for the rates of dissolution,
metabolism, and growth. The strains showed similar efficiency, with v
max values of 12–18 g dw g–1 d–1, yields of 0.21 g g–1, maximum
growth rates of 2.5–3.8 d–1, and decay rates
of 0.04–0.05 d–1. Sensitivity analysis with
the model shows that (i) retention in crystals or NAPLs or by sequestration
competes with biodegradation, (ii) bacterial growth conditions (dissolution
flux and resulting chemical activity of substrate) are more relevant
for the final state of the system than the initial biomass, and (iii)
the desorption flux regulates the turnover in the presence of solid-state,
sequestered (aged), or NAPL substrate sources.