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Applied and Environmental Microbiology, January 2004, p. 229-239, Vol. 70, No. 1
0099-2240/04/$08.00+0 DOI: 10.1128/AEM.70.1.229-239.2004
Copyright © 2004, American Society for Microbiology. All Rights Reserved.
Biochemical Engineering, Saarland University, Saarbrucken,1 Research Fine Chemicals and Biotechnology, BASF AG, Ludwigshafen, Germany2
Received 23 May 2003/ Accepted 24 September 2003
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In the present work, metabolic flux of lysine-producing C. glutamicum was analyzed in comparative batch cultures on glucose or fructose. The production of lysine is known to pose specific flux burdens on the metabolism of C. glutamicum involving a high demand for NADPH, oxaloacetate, and pyruvate. Metabolic flux analysis was based on a straightforward and precise approach of metabolite balancing, 13C tracer studies with gas chromatography-mass spectrometry (GC-MS), and isotopomer modeling. By this approach, significant substrate-specific differences in intracellular pathway activities were identified, providing important knowledge on the metabolism of lysine-producing C. glutamicum.
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Cultivation.
Precultivation consisted of three steps involving (i) a starter cultivation in complex medium with cells from the agar plates as inoculum, (ii) a short cultivation for adaptation to the minimal medium, and (iii) a prolonged cultivation on minimal medium with elevated concentrations of essential amino acids. Precultures inoculated from agar plates were grown overnight in 100-ml baffled shake flasks on 10 ml of complex medium. Afterwards, cells were harvested by centrifugation (8800 x g, 30°C, 2 min), inoculated into minimal medium, and grown to an optical density of 2 to obtain exponentially growing cells adapted to minimal medium. Then the cells were harvested by centrifugation (8800 x g, 30°C, 2 min), including a washing step with sterile 0.9% NaCl. They were then inoculated into 6 ml of minimal medium in 50-ml baffled shake flasks with initial concentrations of 0.30 g of threonine liter-1, 0.08 g of methionine liter-1, 0.20 g of leucine liter-1, and 0.57 g of citrate liter-1. As the carbon source, 70 mM glucose or 80 mM fructose was added. The cells were grown until depletion of the essential amino acids, which was checked by analysis with high-pressure liquid chromatography (HPLC). At the end of the growth phase, the cells were harvested and washed with sterile NaCl (0.9%). Subsequently, they were transferred into 4 ml of minimal tracer medium in 25-ml baffled shake flasks for metabolic flux analysis under lysine-producing conditions. The tracer medium did not contain any threonine, methionine, leucine, or citrate. For each carbon source, two parallel flasks containing (i) 40 mM 1-13C-labeled substrate or (ii) 20 mM 13C6-labeled substrate plus 20 mM of naturally labeled substrate were incubated. All cultivations were carried out on a rotary shaker (Inova 4230; New Brunswick, Edison, N.J.) at 30°C and 150 rpm.
Chemicals.
Ninety-nine percent [1-13C]glucose, 99% [1-13C] fructose, 99% [13C6]glucose and 99% [13C6]fructose were purchased from Campro Scientific (Veenendaal, The Netherlands). Yeast extract and tryptone were obtained from Difco Laboratories (Detroit, Mich.). All other applied chemicals were from Sigma (St. Louis, Mo.), Merck (Darmstadt, Germany), or Fluka (Buchs, Switzerland) and were of analytical grade.
Substrate and product analysis.
The concentration of cells was determined by measurement of optical density at 660 nm (OD660 nm) using a photometer (Marsha Pharmacia Biotech, Freiburg, Germany) or by gravimetry. The latter was determined by harvesting 10 ml of cells from cultivation broth at room temperature by centrifugation for 10 min at 3700 x g, including a washing step with water. The washed cells were dried at 80°C until their weight became constant. The correlation factor (g of biomass to OD660 nm) between dry cell mass and OD660 nm was determined as 0.353.
The concentrations of extracellular substrates and products in the cultivation supernatants were determined via 3 min of centrifugation at 16000 x g. Fructose, glucose, sucrose, and trehalose were quantified by GC after derivatization into oxime trimethylsilyl derivatives. For this purpose, an HP 6890 gas chromatograph (Hewlett Packard, Palo Alto, Calif.) with an HP 5MS column (5% phenyl-methyl-siloxane-diphenyldimethylpolysiloxane, 30 m x 250 µm; Hewlett Packard) and a quadrupole mass selective detector with electron impact ionization at 70 eV (Agilent Technologies, Waldbronn, Germany) was applied. Sample preparation included lyophilization of the culture supernatant, dissolution in pyridine, and subsequent two-step derivatization of the sugars with hydroxylamine and (trimethylsilyl)trifluoroacetamide (BSTFA; Macherey & Nagel, Düren, Germany) (13, 14). ß-D-ribose was used as the internal standard for quantification. The injected sample volume was 0.2 µl. The time program for GC analysis was as follows: 150°C (0 to 5 min), 8°C min-1 (5 to 25 min), 310°C (25 to 35 min). Helium was used as the carrier gas, with a flow of 1.5 liter min-1. The inlet temperature was 310°C, and the detector temperature was 320°C. Acetate, lactate, pyruvate, 2-oxoglutarate, and dihydroxyacetone levels were determined by HPLC, utilizing an Aminex-HPX-87H Bio-Rad Column (300 x 7.8 mm; Hercules, Calif.) with 4 mM sulfuric acid during the mobile phase at a flow rate of 0.8 ml min-1 and UV detection at 210 nm. Glycerol was quantified by enzymatic measurement (Boehringer, Mannheim, Germany). Amino acids were analyzed by HPLC (Agilent Technologies), utilizing a Zorbax Eclypse-AAA column (150 x 4.6 mm, 5 µm; Agilent Technologies) with automated online derivatization (o-phtaldialdehyde plus 3-mercaptopropionic acid) at a flow rate of 2 ml min-1 and fluorescence detection. Details are given in the instruction manual.
-Amino butyrate was used as the internal standard for quantification.
13C-labeling analysis.
The labeling patterns of lysine and trehalose in cultivation supernatants were quantified by GC-MS, and single mass isotopomer fractions were determined. In the present work, they are defined as M0 (relative amount of nonlabeled mass isotopomer fraction), M1 (relative amount of single-labeled mass isotopomer fraction), and corresponding terms for higher labeling. GC-MS analysis of lysine was performed after conversion into the t-butyl-dimethylsilyl derivate as described previously (14). Quantification of mass isotopomer distributions was performed in selective ion monitoring mode for the ion cluster m/z 431 to 437. This ion cluster corresponds to a fragment ion, which is formed by loss of a t-butyl group from the derivatization residue and thus includes the complete carbon skeleton of lysine (21). The labeling pattern of trehalose was determined from its trimethylsilyl derivate (22). The labeling pattern of trehalose was estimated via the ion cluster at m/z 361 to 367 corresponding to a fragment ion that contained an entire monomer unit of trehalose and thus a carbon skeleton equal to that of glucose 6-phosphate. All samples were measured first in scan mode, thus excluding isobaric interference between the analyzed products and other sample components. All measurements by selective ion monitoring were performed in duplicate. The experimental errors for single mass isotopomer fractions in the tracer experiments on fructose were 0.85% (M0), 0.16% (M1), 0.27% (M2), 0.35% (M3), and 0.45% (M4) for lysine on [1-13C]fructose; 0.87% (M0), 0.19% (M1), 0.44% (M2), 0.45% (M3), and 0.88% (M4) for trehalose on [1-13C] fructose; and 0.44% (M0), 0.54% (M1), 0.34% (M2), 0.34% (M3), 0.19% (M4), 0.14% (M5), and 0.52% (M6) for trehalose on 50% [13C6]fructose. The experimental errors for MS measurements in glucose tracer experiments were 0.47% (M0), 0.44% (M1), 0.21% (M2), 0.26% (M3), and 0.77% (M4) for lysine on [1-13C]glucose; 0.71% (M0), 0.85% (M1), 0.17% (M2), 0.32% (M3), and 0.46% (M4) for trehalose on [1-13C]glucose; and 1.29% (M0), 0.50% (M1), 0.83% (M2), 0.84% (M3), 1.71% (M4), 1.84% (M5), and 0.58% (M6) for trehalose on 50% [13C6]glucose.
Metabolic modeling and parameter estimation.
All metabolic simulations were carried out on a personal computer. The metabolic network of lysine-producing C. glutamicum was implemented in Matlab 6.1 and Simulink 3.0 (Mathworks Inc., Nattick, Mass.). The software implementation included an isotopomer model in Simulink to calculate the 13C-labeling distribution in the network. For parameter estimation, the isotopomer model was coupled with an iterative optimization algorithm in Matlab. Details of the applied computational tools are given by Wittmann and Heinzle (20).
The metabolic network was based on previous work and comprised glycolysis, the PPP, the tricarboxylic acid (TCA) cycle, anaplerotic carboxylation of pyruvate, biosynthesis of lysine and other secreted products (Tab. 1), and anabolic flux from intermediary precursors into biomass. In addition, uptake systems for glucose and fructose were alternatively implemented. Uptake of glucose involved phosphorylation to glucose 6-phosphate via a PTS (10). For fructose, two uptake systems were considered: (i) uptake by PTSFructose and conversion of fructose into fructose 1,6-bisphosphate via fructose 1-phosphate and (ii) uptake by PTSMannose, leading to fructose 6-phosphate (5). In addition, fructose 1,6-bisphosphatase was implemented into the model to allow carbon flux in both directions in upper glycolysis. Reactions regarded as reversible were those of transaldolase and transketolases in the PPP. Additionally, the reaction of glucose 6-phosphate isomerase was considered reversible for the experiments on glucose, whereby the trehalose labeling sensitively reflected the reversibility of this enzymatic reaction. In contrast, the reversibility of the reaction of glucose 6-phosphate isomerase could not be determined on fructose. In fructose-grown cells, glucose 6-phosphate is exclusively formed from fructose 6-phosphate, leading to identical labeling patterns for the two pools. Therefore, interconversion between glucose 6-phosphate and fructose 6-phosphate by a reversible glucose 6-phosphate isomerase reaction does not result in labeling differences that could be used for the estimation of the reversibility of the glucose 6-phosphate isomerase reaction. The measured labeling of lysine and trehalose was not sensitive toward (i) the reversibility of the flux between the lumped pools of phosphoenolpyruvate-pyruvate and malate-oxaloacetate and (ii) the reversibility of the reactions of malate dehydrogenase and fumarate hydratase in the TCA cycle. Accordingly, these reactions were regarded as irreversible. The labeling of alanine from a mixture of naturally labeled and 13C6-labeled substrate, which is sensitive for these flux parameters, was not available for this study. Based on previous results, the glyoxylate pathway was assumed to be inactive (20).
Stoichiometric data on the growth, product formation, and biomass composition of C. glutamicum together with MS labeling data on secreted lysine and trehalose were used to calculate metabolic flux distributions. The set of data that had the minimum deviation between experimental (Mi, exp) and simulated (Mi, calc) mass isotopomer fractions of lysine and trehalose from the two parallel experiments was taken as the best estimate for the intracellular flux distribution. As described in the appendix, the two networks of glucose-grown and fructose-grown cells were overdetermined. A least-squares approach was therefore possible. As the error criterion, a weighted sum of least-squares was used, where Si, exp is the standard deviation of the measurements (equation 1).
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Multiple parameter initializations were applied to investigate whether an obtained flux distribution represented a global optimum. For all strains, flux for glucose uptake during lysine production was set to 100% and the other fluxes in the network are given as relative molar flux normalized to flux for glucose uptake.
Statistical evaluation.
Statistical analysis of the results obtained for metabolic flux was carried out by a Monte-Carlo approach as described previously (20). For each strain, the statistical analysis was carried out by 100-parameter estimation runs, whereby the experimental data, comprising measurements of mass isotopomer ratios and flux, were varied statistically. From the obtained data, 90% confidence limits for the single parameters were calculated.
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TABLE 1. Yields of biomass and metabolites in the stages of lysine production by Corynebacterium glutamicum ATCC 21526 from glucose or fructosea
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TABLE 2. Anabolic demand of Corynebacterium glutamicum ATCC 21526 for intracellular metabolites in the stages of lysine production from glucose or fructosea
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FIG. 1. Comparison of relative mass isotopomer fractions of secreted lysine and trehalose measured by GC-MS in tracer experiments with Corynebacterium glutamicum ATCC 21526 during lysine production on glucose or fructose. Rel., relative.
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TABLE 3. Relative mass isotopomer fractions of secreted lysine and trehalose of lysine-producing Corynebacterium glutamicum ATCC 21526 cultivated on glucose or fructosea
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FIG. 2. In vivo carbon flux distribution in the central metabolism of Corynebacterium glutamicum ATCC 21526 during lysine production on glucose estimated from the best fit to the experimental results using a comprehensive approach of combined metabolite balancing and isotopomer modeling for 13C tracer experiments with labeling measurements of secreted lysine and trehalose by GC-MS. Net fluxes are given in square symbols, and for reversible reactions the direction of the net flux is indicated by an arrow next to the corresponding black box. The numbers in parentheses below the fluxes of transaldolase, transketolase, and glucose 6-phosphate isomerase indicate flux reversibilities. All fluxes are expressed as molar percentages of the mean specific glucose uptake rate (1.77 mmol g-1 h-1). Acetyl-CoA, acetyl coenzyme A.
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FIG. 3. In vivo carbon flux distribution in the central metabolism of Corynebacterium glutamicum ATCC 21526 during lysine production on fructose estimated from the best fit to the experimental results using a comprehensive approach of combined metabolite balancing and isotopomer modeling for 13C tracer experiments with labeling measurement of secreted lysine and trehalose by GC-MS. Net fluxes are given in square symbols, and for reversible reactions the direction of the net flux is indicated by an arrow next to the corresponding black box. The numbers in brackets below the fluxes of transaldolase, transketolase, and glucose 6-phosphate isomerase indicate flux reversibilities. All fluxes are expressed as molar percentages of the mean specific fructose uptake rate (1.93 mmol g-1 h-1). Acetyl-CoA, acetyl coenzyme A.
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Depending on the carbon source, completely different flux patterns in lysine-producing C. glutamicum were also observed around the pyruvate node (Fig. 2 and 3). On glucose flux into the lysine pathway was 30.0%, whereas a reduced flux (25.4%) was found on fructose. The elevated lysine yield on glucose compared to that for fructose is the major reason for this flux difference, but the higher biomass yield resulting in higher demands for diaminopimelate for cell wall synthesis and lysine for protein synthesis also contributes to it. Anaplerotic flux on glucose was 44.5% and was thus markedly higher than flux on fructose (33.5%). This difference is due mainly to the higher demand for oxaloacetate for lysine production but also to the higher anabolic demands for oxaloacetate and 2-oxoglutarate on glucose. On the other hand, flux through pyruvate dehydrogenase was substantially lower on glucose (70.9%) than on fructose (95.2%). This reduced carbon flux into the TCA cycle resulted in flux that was reduced more than 30% through TCA cycle enzymes on glucose (Fig. 2 and 3).
Statistical evaluation by a Monte-Carlo approach of the results obtained for flux was used to calculate 90% confidence intervals for the determined flux parameters. As shown for various key fluxes in Table 4, the confidence intervals were generally narrow. For example, the confidence interval for flux through glucose 6-phosphate dehydrogenase was only 1.2% for glucose-grown cells and 3.5% for fructose-grown cells. The chosen approach therefore allowed precise estimation of flux. We concluded that the differences in flux observed on glucose and fructose are clearly caused by the applied carbon source.
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TABLE 4. Statistical evaluation of metabolic fluxes of lysine-producing Corynebacterium glutamicum ATCC 21526 grown on fructose or glucosea
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Metabolic flux distributions.
The intracellular flux distributions obtained for lysine-producing C. glutamicum on glucose and fructose revealed tremendous differences. Statistical evaluation of the flux distributions obtained revealed narrow 90% confidence intervals, so that the observed flux differences can be clearly attributed to the applied carbon sources. One of the most remarkable differences concerns flux partitioning between glycolysis and PPP. On glucose, 62.3% of carbon was channeled through the PPP. The predominance of the PPP of lysine-producing C. glutamicum grown on this substrate has been previously observed in different studies (9, 19, 20). On fructose the flux into the PPP was reduced to 14.4%. As identified by the metabolic flux analysis performed, this reduction was due mainly to the unfavorable combination of the entry of fructose at the level of fructose 1,6-bisphospate and the inactivity of fructose 1,6-bisphosphatase. The observed inactivity of fructose 1,6-bisphosphatase agrees well with enzymatic measurements of C. melassecola ATCC 17965 during exponential growth on fructose and on glucose (5).
Surprisingly, flux through glucose 6-phosphate isomerase and PPP was about twice as high as flux through the PTSMannose when C. glutamicum was cultivated on fructose. Due to the inactivity of fructose 1,6-bisphosphatase, this difference was not caused by a gluconeogenetic flux. In fact, C. glutamicum possesses an operating metabolic cycle via fructose 6-phosphate, glucose 6-phosphate, and ribose 5-phosphate. Additional flux into the PPP was supplied by transketolase 2, which recycled carbon stemming from the PPP back into this pathway, and by the action of transaldolase, which redirected glyceraldehyde 3-phosphate back into the PPP, thus bypassing gluconeogenesis. This cycling activity may help the cell to overcome the limitation of NADPH on fructose. The drastically reduced flux at glucose 6-phosphate for fructose-grown C. glutamicum might also explain the reduced formation of trehalose on this substrate (7). Glucose 6-phosphate isomerase operated in opposite directions depending on the carbon source. In glucose-grown cells, net flux was directed from glucose 6-phosphate to fructose 6-phosphate, whereas an inverse net flux was observed in fructose-grown cells. This finding underlines the importance of the reversibility of this enzyme for metabolic flexibility in C. glutamicum.
NADPH metabolism.
The following calculations provide a comparison of the NADPH metabolism of lysine-producing C. glutamicum on fructose and glucose. The overall supply of NADPH was calculated from the estimated level of flux through glucose 6-phosphate dehydrogenase, 6-phosphogluconate dehydrogenase, and isocitrate dehydrogenase. On glucose, the PPP enzymes glucose 6-phosphate dehydrogenase (62.0%) and glucose 6-phosphate dehydrogenase (62.0%) supplied the major fraction of NADPH. Isocitrate dehydrogenase (52.9%) contributed to only a small extent. A completely different contribution of the PPP and TCA cycle to the NADPH supply was observed on fructose, where isocitrate dehydrogenase (83.3%) was the major source of NADPH. Glucose 6-phosphate dehydrogenase (14.4%) produced much less NADPH on fructose. NADPH is required for growth and formation of lysine. The NADPH requirement for growth was calculated from a stoichiometric demand of 11.51 mmol of NAPDH (g of biomass-1), which was assumed to be identical for glucose and fructose (5), and the experimental biomass yield of the present work (Table 1). C. glutamicum consumed 62.3% of NADPH for biomass production on glucose, which was much higher than that consumed on fructose as the carbon source (32.8%). The amount of NADPH required for product synthesis was determined from the estimated level of flux into lysine (Table 1) and the corresponding stoichiometric NADPH demand of 4 mol (mol of lysine-1) and was 112.4% for lysine production from glucose and 97.6% for lysine production from fructose. The overall NADPH supply on glucose was significantly higher (176.9%) than that for fructose (112.1%), which can be attributed mainly to the increased PPP flux on glucose. The NADPH balance was almost closed on glucose. In contrast, a significant apparent deficiency of NADPH (18.3%) was observed on fructose. This finding raises the question of what enzymes, in addition to the above-mentioned enzymes, glucose 6-phosphate dehydrogenase, 6-phosphogluconate dehydrogenase, and isocitrate dehydrogenase, might catalyze metabolic reactions that may supply NADPH. A likely candidate seems to be NADPH-dependent malic enzyme. Previously, an increased specific activity of this enzyme was detected on fructose-grown C. melassecola in comparison to that for glucose-grown cells (5). However, the flux through this particular enzyme could not be resolved by the experimental setup in the present work. Assuming malic enzyme is the missing NADPH-generating enzyme, a flux level of 18.3% would be sufficient to supply the apparently missing NADPH. Detailed flux studies of C. glutamicum with glucose as the carbon source revealed no significant activity of malic enzyme (12). The results for fructose might, however, be coupled to elevated in vivo activity of this enzyme.
NADH metabolism.
On fructose, C. glutamicum revealed increased activity of NADH-forming enzymes. Glyceraldehyde 3-phosphate dehydrogenase, pyruvate dehydrogenase, 2-oxoglutarate dehydrogenase, and malate dehydrogenase formed 421.2% NADH on fructose. On glucose the NADH production was only 322.4%. Additionally, the anabolic NADH demand was significantly lower on fructose than on glucose. The significantly enhanced NADH production coupled to a reduced metabolic demand could lead to an increased NADH/NAD ratio. For C. melassecola, it was previously shown that fructose leads to an increased NADH/NAD ratio compared to that for glucose (5). This finding raises a question about NADH-regenerating mechanisms during lysine production on fructose. Fructose-grown cells exhibited an enhanced secretion of dihydroxyacetone, glycerol, and lactate. The increased formation of dihydroxyacetone and glycerol could be due to a higher NADH/NAD ratio. NADH was previously shown to inhibit glyceraldehyde dehydrogenase, so overflow of dihydroxyacetone and glycerol might be related to a reduction of the flux capacity of this enzyme. The reduction of dihydroxyacetone to glycerol could additionally be favored by the high NADH/NAD ratio and thus contribute to regeneration of excess NADH. The NADH-demanding lactate formation from pyruvate could have a background similar to that for the production of glycerol. In comparison to that for exponential growth, the excess of NADH under lysine-producing conditions characterized by relatively high TCA cycle activity and reduced biomass yield might be increased.
Potential targets for optimization of lysine-producing C. glutamicum on fructose.
Based on the flux patterns obtained, several potential targets for the optimization of lysine production by C. glutamicum on fructose can be formulated. A central point surely is the supply of NADPH. Fructose 1,6-bisphosphatase displays an interesting target in order to increase the supply of NADPH. Amplification of its activity might lead to a higher level of flux through the PPP, resulting in increased NADPH generation and increased lysine yield. An increase of the level of flux through the PPP via amplification of fructose 1,6-bisphosphatase might also be beneficial for aromatic amino acid production (6). The inactivity of fructose 1,6-bisphosphatase during growth on fructose is surely bad from the viewpoint of lysine production but not too surprising, because this gluconeogenetic enzyme is not required during growth on sugars and is probably suppressed. In prokaryotes this enzyme is under efficient metabolic control by, e.g., fructose 1,6-bisphosphate, fructose-2,6 bisphosphate, metal ions, and AMP (17). It is known that C. glutamicum can grow on acetate (18), where this enzyme is essential to maintain gluconeogenesis. Another potential target to increase the level of flux through the PPP is the PTS for fructose uptake. Modification of flux partitioning between PTSFructose and PTSMannose could yield a higher proportion of fructose, which enters at the level of fructose 6-phosphate and thus also leads to an increased level of flux through the PPP. Additionally, amplification of malic enzyme, which probably contributes significantly to the NADPH supply on fructose, could be an interesting target.
Another bottleneck is the high secretion levels of dihydroxyacetone, glycerol, and lactate. The formation of dihydroxyacetone and glycerol could be blocked by deletion of the corresponding enzymes. The conversion of dihydroxyacetone phosphate to dihydroxyacetone could be catalyzed by a corresponding phosphatase. A dihydroxyacetone phosphatase has, however, not yet been annotated in C. glutamicum (http://www3.ncbi.nlm.nih.gov/Taxonomy/). Theoretically, this reaction could also be catalyzed by a kinase. Presently, two entries in the genome database of C. glutamicum relate to dihydroxyacetone kinase (http://www3.ncbi.nlm.nih.gov/Taxonomy/). Lactate secretion could be avoided by knockout of lactate dehydrogenase. Since glycerol and lactate formation could be important for NADH regeneration, negative effects on the overall performance of the organism can, however, not be excluded. In case carbon flux through the lower glycolytic chain is limited by the capacity of glyceraldehyde 3-phosphate dehydrogenase as previously speculated (5), the suppression of dihydroxyacetone and glycerol production could eventually lead to an activation of fructose 1,6-bisphosphatase and a redirection of carbon flux through the PPP. Note that dihydroxyacetone is not reutilized during the cultivation of C. glutamicum and thus displays wasted carbon with respect to product synthesis, whereas this is not the case for lactate (2).
The results obtained in this work for fructose also have some relevance for sucrose as the carbon source for lysine production by C. glutamicum. Sucrose is the major carbon source in molasses. As shown previously, the fructose unit of sucrose enters glycolysis at the level of fructose 1,6-bisphosphate (4). Therefore, this part of the sucrose moleculeassuming an inactive fructose 1,6-bisphosphatase as found in the present studyprobably does not enter into the PPP, so that the supply of NADPH in lysine-producing strains may be limited.
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Metabolic network of glucose-grown cells. The network for the central metabolism of C. glutamicum on glucose is shown in Fig. A1A. In total it comprises 42 fluxes. Of these, 12 are directly accessible via quantification of the secretion of 11 products (v2, v19, v20, v21, v27, v28, v29, v30, v33, v37, v42) and the uptake of glucose (v1). Taking biomass composition and measured biomass yield into account, a further 11 fluxes from anabolic precursors into biomass (v3, v4, v8, v13, v22, v24, v26, v32, v36, v39, v41) can be estimated. In addition, the following 14 metabolite balances can be formulated (equations 2 through 15):
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FIG.A1. Metabolic network of the central metabolism of glucose-grown (A) and fructose-grown (B) lysine-producing Corynebacterium glutamicum, including transport fluxes, anabolic fluxes, and fluxes between intermediary metabolite pools.
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Metabolic network of fructose-grown cells. The operation of the network of central metabolism of C. glutamicum on fructose is rather similar to that on glucose. In total, it comprises 44 fluxes (Fig. A1B). Of these, 12 could be directly measured via the secretion of products (v5, v21, v22, v23, v29, v30, v31, v33, v34, v38, v43) and the uptake of fructose (v1). Eleven anabolic fluxes were accessible (v7, v8, v13, v16, v24, v25, v28, v35, v37, v41, v43). In addition, the following 16 metabolite balances can be formulated for this network (equations 16 through 31):
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The rank of the corresponding stoichiometric matrix was calculated as 16 using Matlab, showing that all metabolite balances were linearly independent. Together with 14 labeling data, 53 sets of data were available, resulting in an overdetermined network.
This work was supported by BASF AG (Ludwigshafen, Germany).
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