Amit Varma

Flux balance models of metabolism use stoichiometry of metabolic pathways, metabolic demands of growth, and optimality principles to predict metabolic flux distribution and cellular growth under specified environmental conditions. These models have provided a mechanistic interpretation of systemic metabolic physiology, and they are also useful as a quantitative tool for metabolic pathway design. Quantitative predictions of cell growth and metabolic by-product secretion that are experimentally testable can be obtained from these models. In the present report, we used independent measurements to determine the model parameters for the wild-type Escherichia coli strain W3110. We experimentally determined the maximum oxygen utilization rate (15 mmol of O2 per g [dry weight] per h), the maximum aerobic glucose utilization rate (10.5 mmol of Glc per g [dry weight] per h), the maximum anaerobic glucose utilization rate (18.5 mmol of Glc per g [dry weight] per h), the non-growth-associated maintenance requirements (7.6 mmol of ATP per g [dry weight] per h), and the growth-associated maintenance requirements (13 mmol of ATP per g of biomass). The flux balance model specified by these parameters was found to quantitatively predict glucose and oxygen uptake rates as well as acetate secretion rates observed in chemostat experiments. We have formulated a predictive algorithm in order to apply the flux balance model to describe unsteady-state growth and by-product secretion in aerobic batch, fed-batch, and anaerobic batch cultures. In aerobic experiments we observed acetate secretion, accumulation in the culture medium, and reutilization from the culture medium. In fed-batch cultures acetate is cometabolized with glucose during the later part of the culture period.(ABSTRACT TRUNCATED AT 250 WORDS)

Metabolic by-product secretion is commonly observed in oxygen-limited cultures. Oxygen limitations occur because of limits in the capacity of the respiratory system or because of the oxygenation limits of the cultivation method used. The latter restriction is of considerable practical importance since it results in a critical cell concentration above which oxygenation is insufficient, leading to by-product secretion. In this study we used a flux balance approach to determine optimal metabolic performance of Escherichia coli under variable oxygen limitations. This method uses linear optimization to find optimal metabolic flux patterns with respect to cell growth. Cell growth was defined as precursor requirements on the basis of a composition analysis. A growth-associated maintenance requirement of 23 mmol of ATP per g of biomass and a non-growth-associated maintenance value of 5.87 mmol at ATP per g (dry weight)-h were incorporated on the basis of a comparison with experimental data. From computations of optimal growth increased oxygen limitations were found to result in the secretion of acetate, formate, and ethanol in that order. Consistent with the experimental data in the literature, by-product secretion rates increased linearly with the growth rate. The computed optimal growth under increasing oxygen limitation revealed four critical growth rates at which changes in the by-product secretion pattern were observed. Concomitant with by-product secretion under oxygen limitations were changes in metabolic pathway utilization. The shifts in metabolism were characterized by changes in the metabolic values (computed as shadow prices) of the various redox carriers. The redox potential was thus identified as a likely trigger that leads to metabolic shifts.2+ ă