Model of energy uncoupling for substrate-sufficient culture

The growth yields (Y(obs)) are greater under substrate-limited conditions than those under substrate-sufficient conditions in continuous cultures. This indicates that the excess substrate should cause uncoupling between anabolism and catabolism, which leads to energy spilling. Although the uncoupling between anabolism and catabolism has already been recognized in the microbiology literature, how to quantitatively describe such uncoupling remains unclear. Based on a balance on substrate reaction, a growth yield model was developed in relation to residual substrate concentration for substrate-sufficient continuous cultures. On the basis of that yield model, the concept of an uncoupling coefficient between anabolism and catabolism is defined in this work. A model describing the effect of the residual substrate concentration on the uncoupling coefficient of anabolism to catabolism is proposed. This model agrees very well with literature data. (c) 1997 John Wiley & Sons, Inc. Biotechnol Bioeng 55: 571-576, 1997.     

Model of dissolved organic carbon distribution for substrate-sufficient continuous culture.

The growth yields (Yobs) are greater under substrate-limited conditions than those under substrate-sufficient conditions in continuous cultures. This indicates that the excess substrate should cause uncoupling between anabolism and catabolism. It appears that the excess substrate could determine metabolic pathways of microorganisms, which further control dissolved organic carbon (DOC) distribution under substrate-sufficient conditions. However, how to quantitatively describe the DOC distribution remains unclear in substrate-sufficient continuous culture. Based on a balanced DOC reaction, a DOC distribution model was developed in relation to residual substrate concentration for substrate-sufficient continuous cultures. Results showed that a considerable portion of the DOC consumed was directly oxidized to carbon dioxide through energy spilling under substrate-sufficient conditions. The proposed model for the first time quantified the DOC distribution between nongrowth-associated and growth-associated metabolisms of cells. The proposed model was verified with literature data very well.     

A kinetic model for energy spilling-associated product formation in substrate-sufficient continuous culture

It has been demonstrated that excess substrate can cause uncoupling between anabolism and catabolism, which leads to energy spilling. However, the Luedeking-Piret equation for product formation does not account for the energy spilling-associated product formation due to substrate excess. Based on the growth yield and energy uncoupling models proposed earlier, a kinetic model describing energy spilling-associated product formation in relation to residual substrate concentration was developed for substrate-sufficient continuous culture and was further verified with literature data. The parameters in the proposed model are well defined and have their own physical meanings. From this model, the specific productivity of unit energy spilling-associated substrate consumption, and the maximum product yield coefficient, can be determined. Results show that the majority of energy spilling-associated substrate consumption was converted to carbon dioxide and less than 6% was fluxed into the metabolites, while it was found that the maximum product yield coefficients varied markedly under different nutrient limitations. The results from this research can be used to develop the optimized bioprocess for maximizing valuable product formation.     

Kinetics of soluble microbial product formation in substrate-sufficient batch culture of activated sludge

The kinetics of soluble microbial product (SMP) formation under substrate-sufficient conditions appear to exhibit different patterns from substrate-limited cultures. However, energy spilling-associated SMP formation is not taken into account in the existing kinetic models and classification of SMP. Based on the concepts of growth yield and energy uncoupling, a kinetic model describing energy spilling-associated SMP formation in relation to the ratio of initial substrate concentration to initial biomass concentration (S ₀/X ₀) was developed for substrate-sufficient batch culture of activated sludge, and was verified by experimental data. The specific rate of energy spilling-associated SMP formation showed an increasing trend with the S ₀/X ₀ ratio up to its maximum value. The SMP productivity coefficient (α _p/e) was defined from the model on the basis of energy spilling-associated substrate consumption. Results revealed that less than 5% of energy spilling-associated substrate consumption was converted into SMP. Electronic Publication     

The coupling between catabolism and anabolism of Methanobacterium thermoautotrophicum in H2- and iron-limited continuous cultures

The aim of the present work was to investigate whether uncoupling of catabolism from anabolism, which was often observed in heterotrophic microorganisms under energy-sufficient growth conditions, also occurs in the autotrophic bacterium Methanobacterium thermoautotrophicum. For this purpose, M. thermoautotrophicum was cultivated in continuous cultures that were limited by the trace element iron. The influences of both dilution rate and iron supply rate on the coupling between anabolism and catabolism were investigated. As compared to continuous cultures of M. thermoautotrophicum limited by the energy substrate H₂, a 5-fold decrease in the biomass concentration and a 3-fold decrease in H₂, CO₂, and CH₄ conversion rates were observed in iron-limited cultures. However, the specific substrate and product conversion rates increased as compared to the values determined in energy-limited cultures. Thus, iron limitation provoked an uncoupling of catabolism from anabolism. At a dilution rate of 0.096 h⁻¹ and at an iron concentration of 17 μM in the feed, the specific H₂ consumption rate was 100% higher than the rate determined under H₂-limiting conditions, whereas at a dilution rate of 0.168 h⁻¹, the values differed only by 5%. Uncoupling of catabolism from anabolism also increased dramatically when the iron supply rate was lowered but the dilution rate was kept constant. Thus, the extent of uncoupling is a function of both the dilution rate and the iron supply rate. It was found that the specific consumption rate of H₂ increased in parallel with the partial pressure of H₂ in the culture medium. This suggested that the catabolic activity of M. thermoautotrophicum was not stringently controlled at the enzymatic level and can be considerably stimulated by the excess of H₂ in the medium. Hypotheses as to the fate of the excess energy derived from uncoupled catabolism are discussed, but the physiological reason for the partial uncoupling between catabolism and anabolism remains yet to be clarified.     

Metabolic uncoupling of Shewanella oneidensis MR-1, under the influence of excess substrate and 3, 3', 4', 5-tetrachlorosalicylanilide (TCS)

The dissociation between catabolism and anabolism is generally termed as metabolic uncoupling. Experimentally, metabolic uncoupling is characterized by a reduction in the observed biomass yield. This condition can be brought about by: (a) excess-substrate (as measured by S(0)/X(0)), and (b) addition of chemical uncouplers such as 3, 3', 4', 5-Tetrachlorosalicylanilide (TCS). An empirical model is proposed to quantify the uncoupling effects of both excess-substrate and uncoupler addition on the microbial cultures. Metabolic uncoupling of Shewanella oneidensis MR-1, under the influence of excess pyruvate and TCS, has been modeled using the proposed expression. The degree of uncoupling was measured as a fractional reduction in theoretical maximum observed yield. Excess-substrate was observed to successively reduce biomass yield as substrate concentration was increased. In the presence of TCS, conflicting trends were obtained for number yield and protein yield. This could, in part, be attributed to the observed increase in cellular protein content upon addition of TCS. Excess-substrate conditions dominated uncoupling, as compared to uncoupler addition. However, these two approaches were found to have additive effects and could, in conjunction, be employed to control biomass growth during microbial processes such as subsurface bioremediation and activated sludge treatment.     

Dynamics of energy charge and adenine nucleotides during uncoupling of catabolism and anabolism in Penicillium ochrochloron

Filamentous fungi are able to spill energy when exposed to energy excess by uncoupling catabolism from anabolism, e.g. via overflow metabolism. In current study we tested the hypothesis that overflow metabolism is regulated via the energetic status of the hyphae (i.e. energy charge, ATP concentration). This hypothesis was studied in Penicillium ochrochloron during the steady state of glucose- or ammonium-limited chemostat cultures as well as during three transient states ((i) glucose pulse to a glucose-limited chemostat, (ii) shift from glucose-limited to ammonium-limited conditions in a chemostat, and (iii) ammonium exhaustion in batch culture). Organic acids were excreted under all conditions, even during exponential growth in batch culture as well as under glucose-limited conditions in a chemostat. Partial uncoupling of catabolism and anabolism via overflow metabolism was thus constitutively present. Under all tested conditions, overflow metabolism was independent of the energy charge or the ATP concentration of the hyphae. There was a reciprocal correlation between glucose uptake rate and intracellular adenine nucleotide content. During all transients states a rapid decrease in energy charge and the concentrations of nucleotides was observed shortly after a change in glycolytic flux (“ATP paradoxon”). A possible connection between the change in adenine nucleotide concentrations and the purine salvage pathway is discussed.     

A kinetic model for product formation of microbial and mammalian cells

Growth of microbial and mammalian cells can be classified into substrate-limited and substrate-sufficient growth according to the relative availability of the substrate (carbon and energy source) and other nutrients. It has been observed for a number of microbial and mammalian cells that the consumption rate of substrate and energy (ATP) is generally higher under substratesufficient conditions than under substrate limitation. Accordingly, the product formation under substrate excess often exhibits different patterns from those under substrate limitation. The extent of increase or decrease in product formation may depend not only on the nature of limitation and cell growth rate but also on the residual substrate concentration in a relatively wide range. The product formation kinetic models existing in literature cannot describe these effects. In this study, the Luedeking-Piret kinetic is extended to include a term describing the effect of residual substrate concentration. The extended model has a similar structure to the kinetic model for substrate and energy consumption rate recently proposed by Zeng and Deckwer. The applicability of the extended model is demonstrated with three microbial cultures for the production of primary metabolites and three hybridoma cell cultures for the production of ammonia and lactic acid over a wide range of substrate concentration. The model describes the product formation in all these cultures satisfactorily. Using this model, the range of residual substrate concentration, in which the product formation is affected, can be quantitatively assessed. (c) 1995 John Wiley & Sons, Inc.     

Metabolic aspects of the growth of a pink-pigmented facultative methylotroph in carbon-limited chemostat culture

Summary The regulation of carbon metabolism in a pink-pigmented facultative methylotroph has been studied. In methanol-limited chemostat culture a pH optimum at 7.0 with a narrow growth rate optimum with respect to growth yield and metabolic uncoupling was revealed. The average growth yield was 14±0.036 g·mol^–1 and the organism displayed a low maintenance energy and high maximum specific growth rate. When the carbon concentration in the feed remained constant and the dilution rate increased a deviation from linearity between substrate consumption and growth rate was found at higher growth rates. The addition of a pulse of methanol to a carbon-limited culture showed that anabolism could be dissociated from catabolism with the resulting accumulation of formaldehyde in concentrations which were not lethal. Offprint requests to: F. M. Girio     

Carbon and energy balances in cell-recycle cultures of Schizosaccharomyces pombe

A strain of the fission yeast Schizosaccharomyces pombe was aerobically grown in a cell-recycle fermentor under various operating conditions, i.e., different bleeding rates and various separate feed rates of glucose and basal medium. Carbon and energy balances were analyzed during steady-state culture regimes, allowing growth yields and maintenance coefficients to be determined under glucose-limited and glucose-excess environments. Special attention was given to the metabolic shift from purely oxidative to respirofermentative glucose catabolism resulting from a change in the growth-limiting factor. No maintenance requirements for the carbon source and for energy were observed during glucose-limited culture regimes and oxidative catabolism. Under glucose excess and respirofermentative metabolism, the m(G) coefficient was shown to be growth-linked, whereas the enhancement of the apparent m(e) coefficient observed for increased residual glucose concentrations could be assigned to a decline in the ATP yield. (c) 1993 John Wiley & Sons, Inc.     

The calorimetric-respirometric ratio is an on-line marker of enthalpy efficiency of yeast cells growing on a non-fermentable carbon source

Although on-line calorimetry has been widely used to detect transitions in global metabolic activity during the growth of microorganisms, the relationships between oxygen consumption flux and heat production are poorly documented. In this work, we developed a respirometric and calorimetric approach to determine the enthalpy efficiency of respiration-linked energy transformation of isolated yeast mitochondria and yeast cells under growing and resting conditions. On isolated mitochondria, the analysis of different phosphorylating and non-phosphorylating steady states clearly showed that the simultaneous measurements of heat production and oxygen consumption rates can lead to the determination of both the enthalpy efficiency and the ATP/O yield of oxidative phosphorylation. However, these determinations were made possible only when the net enthalpy change associated with the phosphorylating system was different from zero. On whole yeast cells, it is shown that the simultaneous steady state measurements of the heat production and oxygen consumption rates allow the enthalpy growth efficiency (i.e. the amount of energy conserved as biomass compared to the energy utilised for complete catabolism plus anabolism) to be assessed. This method is based on the comparison between the calorimetric-respirometric ratio (CR ratio) determined under growth versus resting conditions during a purely aerobic metabolism. Therefore, in contrast to the enthalpy balance approach, this method does not rely on the exhaustive and tedious determinations of the metabolites and elemental composition of biomass. Thus, experiments can be performed in the presence of non-limiting amounts of carbon substrate, an approach which has been successfully applied to slow growing cells such as yeast cells expressing wild-type or a mutant rat uncoupling protein-1.     

Unstructured models for suspension cultures of Taxus media cells in a bioreactor under substrate-sufficient conditions

For a better understanding of the simulation, optimization, and process control in cell cultures, good kinetic models are necessary for large scale plant cell culture. In this paper, the systematic kinetics of taxol production by Taxus media cell suspension cultures in a stirred 15-L bioreactor under substrate-sufficient conditions and the absence of inducer intervention were studied. A kinetic model of cell growth was established by logistic equation, and kinetic unstructured models of substrate consumption, product synthesis and rheological behavior were constituted, which incorporated energy spilling. These models were verified by comparing the simulation results with those obtained experimentally. These results showed that energy spilling was a key factor that must be considered in constructing unstructured kinetic models of Taxus media cell suspension cultures in a stirred bioreactor under substrate-sufficient conditions. Besides, an optimized operation measure of decreasing energy spilling was proposed. An increase of 17.64% in cell biomass and 14.88% in taxol concentration were obtained when the strategy of limiting added carbon several times was experimentally implemented in a 15-L bioreactor. Results demonstrated that these established models should be helpful in the process prediction and operation optimization to guide the production and amplification of Taxus media cell suspension cultures in a bioreactor.     

Metabolic response of biofilm to shear stress in fixed-film culture

AIMS: In a biofilm reactor, detachment force resulting from hydraulic shear is a major factor that determines the formation and structure of steady state biofilm. The metabolic response of biofilm to change in shear stress was therefore investigated. METHODS AND RESULTS: A conventional annular reactor made of PVC was used, in which shearing over the rotating disc surface was strictly defined. Results from the steady state aerobic biofilm reactor showed that the biofilm structure (density and thickness) and metabolic behaviour (growth yield and dehydrogenase activity) were closely related to the shear stress exerted on the biofilm. Smooth, dense and stable biofilm formed at relatively high shear stress. Higher dehydrogenase activity and lower growth yield were obtained when the shear stress was raised. Growth yield was inversely correlated with the catabolic activity of biofilm. The reduced growth yield, together with the enhanced catabolic activity, suggests that a dissociation of catabolism from anabolism would occur at high shear stress. CONCLUSION: Biofilms may respond to shear stress by regulating metabolic pathways associated with the substrate flux flowing between catabolism and anabolism. A biological phenomenon, besides a simple physical effect, is underlying the observed relation between the shear stress and resulting biofilm structure. SIGNIFICANCE AND IMPACT OF THE STUDY: A hypothesis is proposed that the shear-induced energy spilling would be associated with a stimulated proton translocation across the cell membrane, which favours formation of a stronger biofilm. This research may provide a basis for experimental data on biofilm obtained at different shear stresses to be interpreted in relation to energy.     

Interaction between catabolism and anabolism in the oxidative assimilation of dissolved organic carbon

Catabolism is tightly coupled to anabolism in substrate-limited cultures. However, the dissolved organic carbon (DOC) distribution between catabolism and anabolism has been hardly studied. Based on a balanced DOC reaction, the DOC distribution between catabolism and anabolism was defined using a ratio of the DOC channeled into CO₂ ( ) to that DOC converted to biomass (S _g). A /S _g-dependent growth yield model was proposed for substrate-limited cultures and was verified using the literature data obtained in the oxidative assimilation processes of different types of organic substrates. The model showed that the growth yield (Y _s) was proportional to anabolic activity, but was inversely related to catabolic activity. Results indicated that both Y _s and /S _g varied markedly with the free energy of oxidation of the organic substrate. Further, the observed phenomena were closely associated with maintenance metabolism under substrate-limited conditions.     

Development of linear irreversible thermodynamic model for oxidation reduction potential in environmental microbial system

Nernst equation has been directly used to formulate the oxidation reduction potential (ORP) of reversible thermodynamic conditions but applied to irreversible conditions after several assumptions and/or modifications. However, the assumptions are sometimes inappropriate in the quantification of ORP in nonequilibrium system. We propose a linear nonequilibrium thermodynamic model, called microbial related reduction and oxidation reaction (MIRROR Model No. 1) for the interpretation of ORP in biological process. The ORP was related to the affinities of catabolism and anabolism. The energy expenditure of catabolism and anabolism was directly proportional to overpotential (eta), straight coefficient of electrode (L(EE)), and degree of coupling between catabolism and ORP electrode, respectively. Finally, the limitations of MIRROR Model No. 1 were discussed for expanding the applicability of the model.     

Calculation of the heat of growth of Escherichia coli K-12 on succinic acid

Using data from the literature, a method is adopted for determining the empirical composition and the unit carbon formula for dried Escherichia coli K-12 cells by summing the quantities of C, H, O, N, P, and S in each of the major classes of macromolecular substances comprising the cellular biomass. With these data and the molar growth yield of cells on succinic acid, equations are written representing the anabolism and catabolism of E. coli K-12 on this quantity of substrate. The enthalpy change accompanying catabolism can be calculated directly using standard enthalpies of formation because there is no term representing cellular substance. The enthalpy change accompanying anabolism is calculated to be very small or zero using microcalorimetric and other data from which the enthalpy of formation of a unit quantity of living cellular substance can be obtained. This indicates that the net enthalpy change accompanying the growth process (anabolism plus catabolism) is the same as that calculated for catabolism alone, in agreement with the same conclusion by several investigators using direct microcalorimetry. The method described here of determining the unit carbon formula and the quantity of ash remaining after cellular combustion is compared to that conventionally used in which cellular P and S is considered either to be negligible or to be a part of the ash. It is concluded that equations representing anabolism and the growth process can be written more accurately using the presently described method, leading to more accurate thermodynamic calculations.     

Citrate efflux in glucose-limited and glucose-sufficient chemostat culture of Penicillium simplicissium

Citrate excretion by Penicillium simplicissimum was investigated in a chemostat. Carbon-limited grown P. simplicissimum did not excrete no citrate. Citrate was excreted, however, when growth was nitrogen-limited. Further effects of nitrogen-limitation were a slightly increased rate of glucose and oxygen consumption. This behaviour is typical for a so-called `overflow metabolism', i.e. the uncoupling of anabolism from catabolism under conditions of carbon excess. Still more citrate was excreted by nitrogen-limited P. simplicissimum when (i) the extracellular osmolarity was increased from 0.2 to 1.5 osm kg^–1 or (ii) when the pH was increased from 4 to 7; or (iii) when the extracellular potassium concentration was lowered from 6 to 0.5 mM. These results were interpreted in terms of a higher energy-consumption under these conditions.     

The effects of glucose and oxygen on the cytochromes and metabolic activity of yeast batch cultures. I. Saccharomyces spp.

Saccharomyces cerevisiae and Saccharomyces carlsbergensis were grown in batch culture with and without oxygen control. The concentrations of A-, B- and C-type cytochromes of both yeasts were dependent on the oxygen concentration during growth as well as on the initial glucose concentration of the growth medium. S. cerevisiae cytochromes were maximal after growth in low glucose and low oxygen; S. carlsbergensis cytochromes were maximal after growth in low glucose and high oxygen. Except when glucose was in very low concentration, its catabolism by S. carlsbergensis was directed predominantly towards ethanolic fermentation regardless of the oxygen concentration. Growth rate, total cell mass and yield were maximal, and anabolism was closely balanced with catabolism, when glucose and oxygen of S. carlsbergensis cultures were both high. Under these conditions neither catabolism, respiratory or ethanolic, nor glucose uptake were maximal.     

A model for energy-sufficient culture growth

Pirt's maintenance model has been widely accepted for the effects of growth rate and maintenance on growth yield. However, the interpretation of parameters in Pirt's model as biological constants is difficult for energy-sufficient culture growth. In this study, a mechanistic model for the growth energetics of energy-sufficient chemostat cultures is proposed and verified with literature data. In the model, the overutilization of the energy substrate in energy-sufficient culture growth is attributed to the defective regulation of the energy substrate metabolism and energy uncoupling. The model also uses an "energy surplus" concept to collectively represent the effects of energy excessiveness. The proposed model provides a better quantitative understanding of the maximum growth yield and maintenance of energy-sufficient cultures. It also explains the glucose concentration effect reported in the literature.