N. Greenberg et al., OBSERVATIONS AND MODELING OF GROWTH OF IMMOBILIZED MICROCOLONIES OF LUMINOUS ESCHERICHIA-COLI, Chemical Engineering Science, 51(5), 1996, pp. 743-756
Growth of recombinant luminous E. coli immobilized in alginate beads r
evealed a novel observation: pellets with a low initial cell density m
ay yield higher final density than those of high initial density. Obse
rvations of growth were combined with bioluminescence measurements tha
t reflect the product of oxygen concentration and cell density distrib
ution in a spherical gel pellet. To account for this behavior a model
for growth of immobilized cells in the form of microcolonies was const
ructed and the behavior was simulated in a deterministic and stochasti
c (cellular automata) forms. Growth in the form of microcolonies was o
bserved in this study as well as in other studies. Analytical and appr
oximate solutions for zero or first-order kinetics predict that the fi
nal total cell density and the final thickness of active biomass layer
vary with the initial cell density as a -1/6 power. This exponent des
cribes well the experimental results. Stochastic simulations revealed
similar qualitative dependence. A pseudohomogeneous model of growth ca
nnot account for this behavior.