Influence of dilution rate on the morphology and technological properties ofLactobacillus delbrueckii subsp.bulgaricus

Lactobacillus delbrueckii subsp.bulgaricus ATCC 11842 was grown in a chemostat at 45°C and pH 5.5 using glucose as the carbon source, with the aim of optimizing biomass production. Cells were grown in a complex medium under nitrogen. At dilution rates lower than 0.18h^–1, it was difficult to keep steady-state conditions and pleomorphic forms were observed. The addition of 30mM Ca²⁺ and Mn²⁺ reverted the cells to normal shape: 30mM Mg²⁺ had no effect. Increasing the dilution rate resulted in normal morphology without the addition of any cations. Under these conditions, a maximum productivity of 1.24g dry biomass 1^–1 h^–1 was obtained. The maximum growth yield, corrected for maintenance, was 30g biomass mol^–1 glucose and the maintenance energy was 0.26g glucose g^–1 biomass h^–1. Lactate was the main fermentation product at all glucose concentrations used in the fed medium. Cells grown at high dilution rates had normal technological properties (acid production and proteolysis) when tested in milk.     

Kinetics of Bifidobacterium longum ATCC 15707 fermentations: effect of the dilution rate and carbon source

The effect of the dilution rate on biomass and product synthesis in fermentations of glucose, fructose and a commercial mixture of fructooligosaccharides (FOS) by Bifidobacterium longum ATCC 15707 was studied. Kinetic parameters (maximum specific growth rate, Monod constant, maintenance, and yield coefficients) in the mathematical model of the fermentation were estimated from experimental data. In the FOS mixture fermentations, approximately 12% of the total reducing sugars (mainly fructose) in the feed were not metabolized by the bacterium. In fermentations of fructose and the FOS mixture, biomass concentration increased as the dilution rate increased and, once maximum values were reached [3.90 (D=0.20 h^–1) and 2.54 g l^–1 (D=0.15 h^–1), respectively], decreased rapidly as the culture was washed out. Formic acid was detected at low dilution rates in glucose and fructose fermentations. The main products in fermentations of the three carbon sources were lactic and acetic acids. Average values of the molar ratio between acetic and lactic acids of 1.18, 1.21 and 0.83 mol mol^–1 were obtained in glucose, fructose and FOS mixture fermentations, respectively. In batch fermentations carried out without pH control this molar ratio was lower than 1.5 only when fructose was used as the carbon source.     

An analysis of the growth of Gluconobacter oxydans in chemostat cultures

Gluconobacter oxydans was grown successively in glucose and nitrogen-limited chemostat cultures. Construction of mass balances of organisms growing at increasing dilution rates in glucose-limited cultures, at pH 5.5, revealed a major shift from extensive glucose metabolism via the pentose phosphate pathway to the direct pathway of glucose oxidation yielding gluconic acid. Thus, whereas carbon dioxide production from glucose accounted for 49.4% of the carbon input at a dilution rate (D)=0.05 h^-1, it accounted for only 1.3% at D=0.26 h^-1. This decline in pentose phosphate pathway activity resulted in decreasing molar growth yields on glucose. At dilution rates of 0.05 h^-1 and 0.26 h^-1 molar growth yields of 19.5 g/mol and 3.2 g/mol, respectively, were obtained. Increase of the steady state glucose concentration in nitrogen-limited chemostat cultures maintained at a constant dilution rate also resulted in a decreased flow of carbon through the pentose phosphate pathway. Above a threshold value of 15–20 mM glucose in the culture, pentose phosphate pathway activity almost completely inhibited. In G. oxydans the coupling between energy generation and growth was very inefficient; yield values obtained at various dilution rates varied between 0.8–3.4 g/cells synthesized per 0.5 mol of oxygen consumed.     

Effects of growth temperature on maximal specific growth rate,yield, maintenance,and death rate in glucose-limited continuous culture of the thermophilic Bacillus caldotenax

Summary The influence of temperature on the growth of the theromophilic Bacillus caldotenax was investigated using chemostat techniques and a chemically defined minimal medium. All determined growth constants, that is maximal specific growth rate, yield and maintenance, were temperature dependent. It was striking that the very large maintenance requirement was about 10 times higher than for mesophilic cells under equivalent conditions. A death rate, which was very substantial at optimal and supraoptimal growth temperatures, was estimated by comparing the maintenance for substrate and oxygen. There was no indication for a thermoadaptation as postulated by Haberstich and Zuber (1974).Symbols D Dilution rate (h^–1) - D_c=_max Critical dilution rate (h^–1) - E Temperature characteristic (J mol^–1) - k Organism constant - k_d Death rate coefficient (h^–1) - k_m Maintenance substrate coefficient estimated from M_O (h^–1) - M_O Maintenance respiration, mmol O₂ per g dry biomass and h (mmol g^–1h^–1) - M_O Maintenance respiration, taking k_d into account - m_S Maintenance substrate coefficient, g glucose per g dry biomass and h (h^–1) - OD Optical density at 546 nm - QO₂ Specific O₂-uptake rate (mmol g^–1h^–1) - Q _O2 ^V Specific O₂-uptake rate for viable portion of biomass (mmol g^–1 h^–1) - Q_S Specific glucose uptake rate (h^–1) - Q _S ^V Specific glucose uptake rate for viable portion of biomass (h^–1) - R Gas constant 8.28 J mol^–1K^–1 - S Substrate concentration in reactor (g l^–1) - S_O Influent substrate concentration (g l^–1) - T_max Maximal growth temperature (°C) - T_min Minimal growth temperature (°C) - X Dry biomass (g l^–1) - X_tOt=X Dry biomass containing dead and viable cells - X_v Viable portion of biomass - Y _O ^m Potential yield for O₂ corrected for maintenance respiration (g mol^–1) - Y _S ^m Potential yield for substrate corrected for maintenance requirement, g biomass per g glucose (–) - Specific growth rate (h^–1) - _max Maximal specific growth rate (h^–1)     

Protein production from whey usingPenicillium cyclopium; growth parameters and cellular composition

Summary The growth parameters ofPenicillium cyclopium have been evaluated in a continuous culture system for the production of fungal protein from whey. Dilution rates varied from 0.05 to 0.20 h^–1 under constant conditions of temperature (28°C) and pH (3.5). The saturation coefficients in the Monod equation were 0.74 g l^–1 for lactose and 0.14 mg l^–1 for oxygen, respectively. For a wide range of dilution rates, the yield was 0.68 g g^–1 biomass per lactose and the maintenance coefficient 0.005 g g^–1 h^–1 lactose per biomass, respectively. The maximum biomass productivity achieved was 2 g l^–1 h^–1 biomass at dilution rates of 0.16–0.17 h^–1 with a lactose concentration of 20 g l^–1 in the feed. The crude protein and total nucleic acid contents increased with a dilution rate, crude protein content varied from 43% to 54% and total nucleic acids from 6 to 9% in the range of dilution rates from 0.05 to 0.2 h^–1, while the Lowry protein content was almost constant at approximately 37.5% of dry matter.Nomenclature (mg l^–1) C_o initial concentration of dissolved oxygen - (h^–1) D dilution rate - (mg l^–1) K₀₂ saturation coefficient for oxygen - (g l^–1) K_s saturation coefficient for substrate - (g g^–1 h^–1) lactose per biomass) m maintenance energy coefficient - (mM g^–1 h^–1O₂ per biomass) Q₀₂ specific oxygen uptake rate - (g l^–1) S residual substrate concentration at steady state - (g l^–1) S_o initial substrate concentration in feed - (min) t_1/2 time when C_o is equal to C_o/2 - (g l^–1) X biomass concentration - (g l^–1) X biomass concentration at steady state - (g g^–1 biomass per lactose) Y_G yield coefficient for cell growth - (g g^–1 biomass per lactose) Y_x/s overall yield coefficient - (h^–1) specific growth rate     

The growth rate control in Escherichia coli at near to maximum growth rates: the A-stat approach

The growth characteristics of Escherichia coli K-12 in the continuous culture with a smooth increase in the dilution rate (A-stat) of various carbon sources (glucose, acetate, succinate, glycerol, lactate, acetate + succinate, casamino, acids + glucose) were studied. For all substrates studied the maximum value of specific respiration rate, Q _O2, remained between 14–18 mmol O₂ h^-1 g dwt^-1 and the maximum growth rate varied from 0.22 h-¹ on acetate to 0.77 h^-1 on glucose + casamino acids. After the respiratory capacity of the cells was exhausted at growth rates µ < µ_crit, the growth yield Y_XO2, increased slightly when the dilution rate increased. The maximum growth rate of Escherichia coli K12 was dependent on growth yield, respiratory capacity and glycolytic capacity of the strain. Analysis of the cultivation data using a stoichiometric flux model indicated that ATP synthesis in E. coli exceeds by two-fold that (theoretically) required to build up biomass. The experimental value of m_ATP < 4 mmol ATP h^-1 g dwt^-1 determined from A-stat cultivation data was low compared with the calculated unproductive hydrolysis of ATP (64–103 mmole ATP g dwt^-1).     

L-Sorbose production in a continuous fermenter with and without cell recycle

The kinetics of continuous l-sorbose fermentation using Acetobacter suboxydans with and without cell recycle (100%) were investigated at dilution rates (D) of 0.05, 0.10, 0.15 and 0.3 h^–1. The biomass and sorbose concentrations for continuous fermentation without recycle increased as the dilution rate was increased from 0.05 to 0.10 h^–1. A maximum biomass concentration of 8.44 g l^–1 and sorbose concentration of 176.90 g l^–1 were obtained at D=0.10 h^–1. The specific rate of sorbose production and volumetric sorbose productivity at this dilution rate were 2.09 g g^–1 h^–1 and 17.69 g l^–1 h^–1. However, on further increasing the dilution rate to 0.3 h^–1, both biomass and sorbose concentrations decreased to 2.93 and 73.20 g l^–1 respectively, mainly due to washout of the reactor contents. However, the specific rate of sorbose formation and volumetric sorbose productivity at this dilution rate increased to 7.49 g g^–1 h^–1 and 21.96 g l^–1 h^–1 respectively. Continuous fermentation with 100% cell recycle served to further enhance the concentration of biomass and sorbose to 28.27 and 184.32 g l^–1 respectively (in the reactor at a dilution rate of 0.05 h^–1). Even though, there was a decline in the biomass and sorbose concentrations to 6.8 and 83.40 g l^–1 at a dilution rate of 0.3 h^–1, the specific rates of sorbose formation and volumetric sorbose productivity increased to 3.67 g g^–1h^–1 and 25.02 g l^–1 h^–1.     

Continuous cultivation of the yeast Candida utilis at different dilution rates on pineapple cannery effluent

Candida utilis was grown on a pineapple cannery effluent in a chemostat at dilution rates ranging between 0.05 and 0.65 h^–1 to establish optimal conditions for biomass production and chemical oxygen demand (COD) reduction. Sucrose, fructose and glucose were the main sugars in the effluent. Maximum value for cell yield coefficient and productivity were (0.686, g_x/g_s) and (2.96, g_x/l/h) at a dilution rate of 0.425 and 0.475 h^–1, respectively, while maximum COD reduction (98%) was attained at a dilution rate of 0.1 h^–1. The maintenance coefficient attained a value of (0.093, g_s/g_x/h). An increase in dilution rate produced a higher protein content of the biomass.     

Control of recombinant human endostatin production in fed-batch cultures of Pichia pastoris using the methanol feeding rate

Endostatin is a 20 kDa carboxyl-terminal fragment of collagen XVIII that strongly inhibits angiogenesis and tumor growth. The methylotrophic yeast, Pichia pastoris, is a robust expression system that can be used to study methods to improve the yields of rhEndostatin. We expressed rhEndostatin in P. pastoris under the control of the alcohol oxidase 1 (aox 1) promoter (Mut⁺ phenotype) as a model, and used a cell biomass of about 50 g l^–1 dry cell wt as a starting point for the induction phase and varied the methanol feed rate at 8 ml l^–1 h^–1, 11 ml l^–1 h^–1 and 15 ml l^–1 h^–1. While the cell growth rate was proportional to the rate of methanol delivery, protein production rate was not. These findings could be used to guide parameters for large-scale production of recombinant proteins in the P. pastoris system.     

Effects of dilution rate and pH on the ruminal cellulolytic bacterium Fibrobacter succinogenes S85 in cellulose-fed continuous culture

The ruminal cellulolytic bacterium Fibrobacter succinogenes S85 was grown in cellulose-fed continuous culture at 22 different combinations of dilution rate (D, 0.014–0.076 h^-1) and extracellular pH (6.11–6.84). Effects of pH and D on the fermentation were determined by subjecting data on cellulose consumption, cell yield, product yield (succinate, acetate, formate), and soluble sugar concentrationto response surface analysis. The extent of cellulose conversion decreased with increasing D. First-order rate constants at rapid growth rates were estimated as 0.07–0.11 h^-1, and decreased with decreasing pH. Apparent decreases in the rate constant with increasing D was not due to inadequate mixing or preferential utilization of the more amorphous regions of the cellulose. Significant quantities of soluble sugars (0.04–0.18 g/l, primarily glucose) were detected in all cultures, suggesting that glucose uptake was rather inefficient. Cell yields (0.11–0.24 g cells/g cellulose consumed) increased with increasing D. Pirt plots of the predicted yield data were used to determined that maintenance coefficient (0.04–0.06 g cellulose/g cells · h) and true growth yield (0.23–0.25 g cells/g cellulose consumed) varied slightly with pH. Yields of succinate, the major fermentation endproduct, were as high as 1.15 mol/mol anhydroglucose fermented, and were slightly affected by dilution rate but were not affected by pH. Comparison of the fermentation data with that of other ruminal cellulolytic bacteria indicates that F. succinogenes S85 is capable of rapid hydrolysis of crystalline cellulose and efficient growth, despite a lower _max on microcrystalline cellulose.     

Lactic acid productivity of a continuous culture of Lactobacillus delbreuckii

Summary Maximum volumetric productivities of biomass (1.40 gl^–1h^–1) and lactic acid (8.93 gl^–1h^–1) for a continuous culture ofLactobacillus delbreuckii occurred between dilution rates 0.35h^–1 and 0.40h^–1. All major nutrients were in excess in these cultures. Glucose utilisation was complete at dilution rates of 0.1h^–1 and lower. Product and biomass yields were constant in the dilution rate range studied (0.05h^–1 to 0.50h^–1).     

Two-stage continuous fermentation of Clostridium acetobutylicum: effects of pH and dilution rate

Summary The kinetics of a two-stage continuous fermentation of Clostridium acetobutylicum have been studied. The pH and the dilution rate have been shown to be two essential factors for process optimization. An increase in pH or dilution rate in the first stage decreased solvent production in the second fermentor. To achieve optimal solvent production, the pH had to be maintained at 4.5 in the first stage and between 4.5 and 5.0 in the second stage. Dilution rates of 0.08 h^–1 and 0.04 h^–1,respectively, in the first and second fermentors allowed a high solvent concentration. When the pH was maintained at 4.5 in each stage and when the dilution rates were 0.08 h^–1 and 0.04 h^–1 in the first and second fermentors respectively, 21 g/l solvent concentration was achieved. A conversion yield of 0.36 g solvents/g glucose consumed was obtained with total consumption of glucose. Biomass was only produced in the first stage together with 40% of the solvents, indicating that solvent production had to be induced in the first fermentor. Offprint requests to: J. M. Engasser     

The isolation and characterisation of a salicylate-hydroxylase-producing strain of Pseudomonas putida

Summary A salicylate-hydroxylase-producing strain of Pseudomonas putida with an unusual capability to grow at toxic levels of salicylate up to 10 g l^–1 has been isolated. It grew well under continuous culture conditions, with optimum growth at pH 6.5 and a temperature of 25° C. The use of an ammonium salt as a nitrogen source, instead of nitrate, resulted in a 30–40% increase in its biomass yield coefficient. Optimum growth under continuous culture conditions was achieved using 4 g l^–1 salicylate at 25° C, pH 6.5 and 0.2 h^–1 dilution rate. High salicylate hydroxylase enzyme activity [236 units (U) l^–1] and productivity (424.8 U h^–1) were obtained at a dilution rate of 0.45 h^–1 using a mineral medium containing 4 g l^–1 of salicylate. Operating under continuous culture conditions with oxygen limitation and a slight accumulation of residual salicylate (0.2 g l^–1) resulted in a decrease in culture performance and enzyme productivity. Correspondence to: R. Marchant     

Production of xanthan by in-flow cultures of Xanthomonas campestris

The kinetics of xanthan formation in Xanthomonas campestris continuous and fed-batch fermentations was studied along with metabolic changes due to growth rate variation. A maximum growth rate within the range 0.11–0.12 h^–1 was obtained from the continuous culture data in defined medium, producing xanthan at rates up to 0.36 g l^–1 h^–1 corresponding to a maximum 67% glucose conversion at a dilution rate (D) of 0.05 h^–1. Comparatively, fed-batch cultivation was more efficient, producing maximum xanthan at 0.75 g l^–1 h^–1 and 63% glucose conversion at 0.1 h^–1. When reaching D=0.062 h^–1 in continuous cultures, a change was observed and the values of the specific rate of substrate consumption shifted, initiating an uncoupled growth region expressing a lack of balance of the catabolic and anabolic reactions. The deviation was not accompanied by a change in specific xanthan production indicating that xanthan metabolism was not affected by D. For fed-batch-grown X. campestris cells within the range D=0.03–0.1 h^–1, both metabolic parameters changed linearly with the growth rate showing a wide region coupled to growth. Outside that range, glucose accumulated and the specific xanthan production dropped, suggesting substrate inhibition. Correspondence to: J. C. Roseiro     

Ethanol production by immobilized whole cells ofZymomonas mobilis in a continuous flow expanded bed bioreactor and a continuous flow stirred tank bioreactor

Continuous ethanol fermentation by immobilized whole cells ofZymomonas mobilis was investigated in an expanded bed bioreactor and in a continuous stirred tank reactor at glucose concentrations of 100, 150 and 200 g L^–1. The effect of different dilution rates on ethanol production by immobilized whole cells ofZymomonas mobilis was studied in both reactors. The maximum ethanol productivity attained was 21 g L^–1 h^–1 at a dilution rate of 0.36 h^–1 with 150 g glucose L^–1 in the continuous expanded bed bioreactor. The conversion of glucose to ethanol was independent of the glucose concentration in both reactors.     

Reassessment of the bioenergetic yield of Arthrospira platensis using continuous culture

Reassessement of bioenergetic growth yield of Arthrospira platensis was performed by using continuous culture under both autotrophic and mixotrophic conditions. Continuous culture was carried out at dilution rates of 0.017, 0.023 and 0.030 h^–1. Under these dilution rates bioenergetic yields ranged between 4.45–6.03 × 10^–3 g biomass kJ^–1 and between 5.42–7.46 × 10^–3 g biomass kJ^–1, under autotrophic and mixotrophic conditions respectively. A maximum bioenergetic yield of 8.1 × 10^–3 g biomass kJ^–1 using an autotrophic culture can be calculated. Pigment accumulation (chlorophyll a and carotenoids) may be related to light irradiance, reaching a maximum pigment concentration under light saturation irradiance. Phycocyanin concentration increased during light limitation.     

Butyric fermentation: metabolic behaviour and production performance of Clostridium tyrobutyricum in a continuous culture with cell recycle

Summary Two physiological characteristics of butyric fermentation, inhibition by the acids produced, butyrate and acetate, and dependence on the growth rate of the distribution of these acids, prompted a study of butyrate production in a continuous fermentation system with cell recycle by microfiltration. The influence of the main operating parameters, glucose input (feed concentration and dilution rate) and bleed dilution rate on production of acids and biomass was studied. The performance of the system greatly exceeded the results obtained in batch and simple continuous fermentations as a high productivity for butyrate (9.5 g l^–1 h^–1) was achieved whilst retaining a satisfactory concentration of butyrate (29.7 g l^–1) and low acetate production (0.6 g l^–1) at a cell biomass concentration of 35 g l^–1. Cell growth rate was found to be a critical parameter for performance stability as oscillations in metabolic activity due to inhibition by acids were observed at bleed dilution rates below 0.016 h^–1.Offprint requests to: J. P. Vandecasteele     

The use of a mixed culture of Geotrichum candidum,Candida krusei and Hansenula anomala for microbial protein production from whiskey distillery spent wash

Summary The use of a mixed culture of Geotrichum candidum, Hansenula anomala and Candida krusei for microbial protein production and treatment of whiskey distillery spent wash was investigated in both batch and continuous culture. Although capable of assimilating the same substrate constituents in pure culture the organisms used different constituents for growth in mixed continuous culture, allowing a stable mixed population to be established. The relative proportions of the three organisms in the population was dependent on the dilution rate.The mixed culture did not give superior yields or productivities, but did give proportionally greater COD reduction and would be expected to bemore stable and resistant to contamination.At a dilution rate of 0.10 h^–1 the mixed culture gave a biomass yield of 4.8 g l^–1, containing 55% crude protein, with a COD reduction of 31.5%, while in mixed batch culture a biomass yield of 12.5 g l^–1, containing 48% crude protein, was obtained with a COD reduction of 54.9%.     

Evaluation of succinic acid continuous and repeat-batch biofilm fermentation by <Emphasis Type="Italic">Actinobacillus succinogenes</Emphasis> using plastic composite support bioreactors

Continuous and repeat-batch biofilm fermentations using Actinobacillus succinogenes were performed with immobilized and suspended-cell systems. For the immobilized continuous system, plastic composite supports (PCS) containing 50% (w/w) polypropylene (PP), 35% (w/w) ground soybean hulls, 5% (w/w) dried bovine albumin, 2.5% (w/w) soybean flour, 2.5% (w/w) yeast extract, 2.5% (w/w) dried red blood cells, and 2.5% (w/w) peptone, or PP tubes (8.5 cm in length) were arranged around the agitator shaft in a grid formation. Agitation was controlled at 125 rpm and 150 rpm. Samples were taken at dilution rates of 0.2, 0.4, 0.6, 0.8, 1.0, and 1.2 h^–1 and analyzed for succinic acid production and glucose consumption (g l^–1). For PCS bioreactors, the highest final succinic acid concentrations (10.1 g ^–1, 10.4 g l^–1) and percentage yields (62.6%, 71.6%) occurred at the dilution rate of 0.2 h^–1. PCS disks were evaluated in a repeat-batch biofilm reactor. Suspended-cell batch fermentations were performed in flasks and a repeat-batch bioreactor. The maximum concentration of succinic acid produced was 40 g l^–1. Peak succinic acid percentage yields in continuous and repeat-batch fermentations of A. succinogenes were observed in suspended-cell continuous fermentations at a dilution rate of 1.0 h^–1 (76.2%) and in PCS repeat-batch fermentations with an initial glucose concentration of 40 g l^–1 (86.7%).     

Modeling of the pyruvate production with<Emphasis Type="Italic"> Escherichia coli</Emphasis> in a fed-batch bioreactor

A family of 10 competing, unstructured models has been developed to model cell growth, substrate consumption, and product formation of the pyruvate producing strain Escherichia coli YYC202 ldhA::Kan strain used in fed-batch processes. The strain is completely blocked in its ability to convert pyruvate into acetyl-CoA or acetate (using glucose as the carbon source) resulting in an acetate auxotrophy during growth in glucose minimal medium. Parameter estimation was carried out using data from fed-batch fermentation performed at constant glucose feed rates of q_VG=10 mL h^–1. Acetate was fed according to the previously developed feeding strategy. While the model identification was realized by least-square fit, the model discrimination was based on the model selection criterion (MSC). The validation of model parameters was performed applying data from two different fed-batch experiments with glucose feed rate q_VG=20 and 30 mL h^–1, respectively. Consequently, the most suitable model was identified that reflected the pyruvate and biomass curves adequately by considering a pyruvate inhibited growth (Jerusalimsky approach) and pyruvate inhibited product formation (described by modified Luedeking–Piret/Levenspiel term).List of symbols c_A acetate concentration (g L^–1) - c_A,0 acetate concentration in the feed (g L^–1) - c_G glucose concentration (g L^–1) - c_G,0 glucose concentration in the feed (g L^–1) - c_P pyruvate concentration (g L^–1) - c_P,max critical pyruvate concentration above which reaction cannot proceed (g L^–1) - c_X biomass concentration (g L^–1) - K_I inhibition constant for pyruvate production (g L^–1) - K_I^A inhibition constant for biomass growth on acetate (g L^–1) - K_P saturation constant for pyruvate production (g L^–1) - K_P inhibition constant of Jerusalimsky (g L^–1) - K_S^A Monod growth constant for acetate (g L^–1) - K_S^G Monod growth constant for glucose (g L^–1) - m_A maintenance coefficient for growth on acetate (g g^–1 h^–1) - m_G maintenance coefficient for growth on glucose (g g^–1 h^–1) - n constant of extended Monod kinetics (Levenspiel) (–) - q_V volumetric flow rate (L h^–1) - q_VA volumetric flow rate of acetate (L h^–1) - q_VG volumetric flow rate of glucose (L h^–1) - r_A specific rate of acetate consumption (g g^–1 h^–1) - r_G specific rate of glucose consumption (g g^–1 h^–1) - r_P specific rate of pyruvate production (g g^–1 h^–1) - r_P,max maximum specific rate of pyruvate production (g g^–1 h^–1) - t time (h) - V reaction (broth) volume (L) - Y_P/G yield coefficient pyruvate from glucose (g g^–1) - Y_X/A yield coefficient biomass from acetate (g g^–1) - Y_X/A,max maximum yield coefficient biomass from acetate (g g^–1) - Y_X/G yield coefficient biomass from glucose (g g^–1) - Y_X/G,max maximum yield coefficient biomass from glucose (g g^–1) - growth associated product formation coefficient (g g^–1) - non-growth associated product formation coefficient (g g^–1 h^–1) - specific growth rate (h^–1) - _max maximum specific growth rate (h^–1)