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1.
2,3-Butanediol (2,3-BD) is a valuable bulk chemical with particular use in industry. 2,3-BD has a potential as solvent and fuel additive, as carrier for pharmaceuticals, or as feedstock for the production of synthetic rubber. Until now, the highest 2,3-BD concentrations were obtained with risk group 2 microorganisms (e.g., Klebsiella oxytoca). In this study, the nonpathogenic bacterium Bacillus licheniformis DSM 8785 was used for 2,3-BD production from glucose. In batch experiments, a maximum 2,3-BD concentration of 72.6 g/L was reached from 180 g/L glucose after 86 h. The yield was 0.42 g/g glucose and the productivity was 0.86 g/(L h). During fed-batch cultivation, 2,3-BD production could be increased up to 144.7 g/L, with a productivity of 1.14 g/(L h). Additionally, repeated batch/fed-batch experiments were conducted using immobilized B. licheniformis in the form of LentiKats®. Results showed a high activity and stability of the immobilizates even after multiple medium replacements, as well as 2,3-BD concentrations, yields, and productivities similar to those obtained with free cells. To our knowledge, these results show the highest 2,3-BD concentration reported so far using a risk group 1 microorganism in general and B. licheniformis in particular. Furthermore, productivity lies in the same range with data reported from risk group 2 strains, which makes B. licheniformis DSM 8785 a suitable candidate for large-scale fermentation processes.  相似文献   

2.
Klebsiella oxytoca naturally produces a large amount of 2,3-butanediol (2,3-BD), a promising bulk chemical with wide industrial applications, along with various byproducts. In this study, the in silico gene knockout simulation of K. oxytoca was carried out for 2,3-BD overproduction by inhibiting the formation of byproducts. The knockouts of ldhA and pflB genes were targeted with the criteria of maximization of 2,3-BD production and minimization of byproducts formation. The constructed K. oxytoca ΔldhA ΔpflB strain showed higher 2,3-BD yields and higher final concentrations than those obtained from the wild-type and ΔldhA strains. However, the simultaneous deletion of both genes caused about a 50 % reduction in 2,3-BD productivity compared with K. oxytoca ΔldhA strain. Based on previous studies and in silico investigation that the agitation speed during 2,3-BD fermentation strongly affected cell growth and 2,3-BD synthesis, the effect of agitation speed on 2,3-BD production was investigated from 150 to 450 rpm in 5-L bioreactors containing 3-L culture media. The highest 2,3-BD productivity (2.7 g/L/h) was obtained at 450 rpm in batch fermentation. Considering the inhibition of acetoin for 2,3-BD production, fed-batch fermentations were performed using K. oxytoca ΔldhA ΔpflB strain to enhance 2,3-BD production. Altering the agitation speed from 450 to 350 rpm at nearly 10 g/L of acetoin during the fed-batch fermentation allowed for the production of 113 g/L 2,3-BD, with a yield of 0.45 g/g, and for the production of 2.1 g/L/h of 2,3-BD.  相似文献   

3.
2,3-Butanediol (2,3-BD) can be produced by fermentation of natural resources like Miscanthus. Bacillus licheniformis mutants, WX-02ΔbudC and WX-02ΔgldA, were elucidated for the potential to use Miscanthus as a cost-effective biomass to produce optically pure 2,3-BD. Both WX-02ΔbudC and WX-02ΔgldA could efficiently use xylose as well as mixed sugars of glucose and xylose to produce optically pure 2,3-BD. Batch fermentation of M. floridulus hydrolysate could produce 21.6 g/L d-2,3-BD and 23.9 g/L meso-2,3-BD in flask, and 13.8 g/L d-2,3-BD and 13.2 g/L meso-2,3-BD in bioreactor for WX-02ΔbudC and WX-02ΔgldA, respectively. Further fed-batch fermentation of hydrolysate in bioreactor showed both of two strains could produce optically pure 2,3-BD, with 32.2 g/L d-2,3-BD for WX-02ΔbudC and 48.5 g/L meso-2,3-BD for WX-02ΔgldA, respectively. Collectively, WX-02ΔbudC and WX-02ΔgldA can efficiently produce optically pure 2,3-BD with M. floridulus hydrolysate, and these two strains are candidates for industrial production of optical purity of 2,3-BD with M. floridulus hydrolysate.  相似文献   

4.
(R)-1,3-butanediol ((R)-1,3-BD) is an important substrate for the synthesis of industrial chemicals. Despite its large demand, a bioprocess for the efficient production of 1,3-BD from renewable resources has not been developed. We previously reported the construction of recombinant Escherichia coli that could efficiently produce (R)-1,3-BD from glucose. In this study, the fermentation conditions were optimized to further improve 1,3-BD production by the recombinant strain. A batch fermentation was performed with an optimized overall oxygen transfer coefficient (82.3?h?1) and pH (5.5); the 1,3-BD concentration reached 98.5?mM after 36?h with high-yield (0.444?mol (mol glucose)?1) and a high maximum production rate (3.63?mM?h?1). In addition, a fed-batch fermentation enabled the recombinant strain to produce 174.8?mM 1,3-BD after 96?h cultivation with a yield of 0.372?mol (mol glucose)?1, a maximum production rate of 3.90?mM?h?1, and a 98.6% enantiomeric excess (% ee) of (R)-1,3-BD.  相似文献   

5.
Biocatalytic asymmetric preparation of (R)-1,3-butanediol has been attracting much attention in pharmaceuticals industry. A new ideal strain, ZJB-09162, which exhibited high reduction activity and excellent (R)-stereospecificity towards 4-hydroxy-2-butanone, has been successfully isolated from soil samples. Based on morphology, physiological tests (API 20 C AUX), and 5.8S-ITS sequence, the isolate was identified as Candida krusei. Kinetic characterization demonstrated that carbonyl reductase from C. krusei ZJB-09162 preferred NADH to NADPH as cofactor, indicating it might be a new carbonyl reductase. (R)-1,3-Butanediol was produced in 19.8 g/L, 96.6% conversion, and 99.0% ee at optimal pH 8.5, 35 °C with a 2:1 molar ratio of glucose to 4H2B. In order to achieve higher product titer, the substrate loading was optimized in fixed catalysts and fixed substrate/catalysts ratio mode. The bioreduction of 4-hydroxy-2-butanone at a concentration of 45.0 g/L gave (R)-1,3-butanediol in 38.7 g/L and 83.9% conversion. Therefore, C. krusei ZJB-09162 was, for the first time, proven to be a promising biocatalyst for enzymatic preparation of (R)-1,3-butanediol.  相似文献   

6.
Enzymatic reduction of acetoin into 2,3-butanediol (2,3-BD) typically requires the reduced nicotinamide adenine dinucleotide (NADH) or its phosphate form (NADPH) as electron donor. Efficiency of 2,3-BD biosynthesis, therefore, is heavily influenced by the enzyme specificity and the cofactor availability which varies dynamically. This work describes the engineering of cofactor flexibility for 2,3-BD production by simultaneous overexpression of an NADH-dependent 2,3-BD dehydrogenase from Klebsiella pneumoniae (KpBudC) and an NADPH-specific 2,3-BD dehydrogenase from Clostridium beijerinckii (CbAdh). Co-expression of KpBudC and CbAdh not only enabled condition versatility for 2,3-BD synthesis via flexible utilization of cofactors, but also improved production stereo-specificity of 2,3-BD without accumulation of acetoin. With optimization of medium and fermentation condition, the co-expression strain produced 92 g/L of 2,3-BD in 56 h with 90% stereo-purity for (R,R)-isoform and 85% of maximum theoretical yield. Incorporating cofactor flexibility into the design principle should benefit production of bio-based chemical involving redox reactions.  相似文献   

7.
Microbial fermentation under anaerobic and microaerobic conditions has been used for the production of 1,3-propanediol (1,3-PD), a monomer used to produce polymers such as polytrimethylene terephthalate. In this study, we screened microorganisms using the high throughput screening method and isolated the Klebsiella pneumoniae AJ4 strain, which is able to produce 1,3-PD under aerobic conditions. To obtain the maximum 1,3-PD concentration from glycerol, the response surface methodology based on a central composite design was chosen to show the statistical significance of the effects of glycerol, peptone, and (NH4)2SO4 on 1,3-PD production by K. pneumoniae AJ4. The optimal culture medium factors for achieving maximum concentrations of 1,3-PD included glycerol, 108.5 g/L; peptone, 2.72 g/L; and (NH4)2SO4, 4.38 g/L. Under this optimum condition, the maximum concentration of 1,3-PD, 54.76 g/L, was predicted. A concentration of about 52.59 g/L 1,3-PD was obtained using the optimized medium during 26-h batch fermentation, a finding that agreed well with the predicted value.  相似文献   

8.
The environmental and nutritional condition for 1,3-propanediol (1,3-PD) production by the novel recombinant E. coli BP41Y3 expressing fusion protein were first optimized using conventional approach. The optimum environmental conditions were: initial pH at 8.0, incubation at 37 °C without shaking and agitation. Among ten nutrient variables, fumarate, (NH4)2HPO4 and peptone were selected to study on their interaction effect using the response surface methodology. The optimum medium contained modified Riesenberg medium (containing pure glycerol as a sole carbon source) supplemented with 63.65 mM fumarate, 3.80 g/L (NH4)2HPO4 and 1.12 g/L peptone, giving the maximum 1,3-PD production of 2.43 g/L. This was 3.5-fold higher than the original medium (0.7 g/L). Two-phase cultivation system was conducted and the effect of pH control (at 6.5, 7.0 and 8.0) was investigated under anaerobic condition by comparing with the no pH control condition. The cultivation system without pH control (initial pH of 8.0) gave the maximum values of 1.65 g/L 1,3-PD, the 1,3-PD production rate of 0.13 g/L h and the yield of 0.31 mol 1,3-PD/mol crude glycerol. Hence, using crude glycerol as a sole carbon source resulted in 32 % lower 1,3-PD production from this recombinant strain that may be due to the presence of various impurities in the crude glycerol of biodiesel plant. In addition, succinic acid was found to be a major product during fermentation by giving the maximum concentration of 11.92 g/L after 24 h anaerobic cultivation.  相似文献   

9.
Cultivation in glycerol instead of sugars inhibits 2,3-butanediol (2,3-BD) production by Bacillus amyloliquefaciens. In this study, we report that B. amyloliquefaciens readily produces 2,3-BD from biodiesel-derived glycerol in the presence of beet molasses as a co-substrate. Unexpectedly, the molasses stimulated 2,3-BD production and simultaneously reduced the duration of fermentation. Productivity of 2,3-BD was enhanced at the start of fermentation, and yields increased under continuous molasses supply. Subsequently, 2,3-BD production in molasses-supplemented fed-batch culture was observed. Prior to inoculation of fed-batch fermentation culture, 15 g/l of molasses was added to the bioreactor. After 6 h of incubation, the bioreactor was fed with a solution containing 80 % glycerol and 15 % molasses. The 2,3-BD concentration, yield, and productivity significantly improved, reaching 83.3 g/l, 0.42 g/g, and 0.87 g/l·h, respectively. To our knowledge, these results are the highest report for 2,3-BD fermentation from biodiesel-derived glycerol.  相似文献   

10.
The 2,3-butanediol (2,3-BD) dehydrogenase gene (bdhA) of Bacillus licheniformis BL1 was disrupted to construct the tetramethylpyrazine (TMP)-producing BLA strain. During microaerobic fermentation, the bdhA-disrupted BLA strain produced 46.98 g TMP/l, and this yield was 23.99 % higher than that produced by the parent BL1 strain. In addition, the yield of acetoin, which is a TMP precursor, also increased by 28.98 % in BLA. The TMP production by BL1 was enhanced by supplementing the fermentation medium with 2,3-BD. The yield of TMP improved from 37.89 to 44.77 g/l as the concentration of 2,3-BD increased from 0 to 2 g/l. The maximum TMP and acetoin yields increased by 18.16 and 17.87 %, respectively with the increase in 2,3-BD concentration from 0 to 2 g/l. However, no increase was observed when the concentration of 2,3-BD in the matrix was ≥3 g/l. This study provides a valuable strategy to enhance TMP and acetoin productivity of mutagenic strains by gene manipulation and optimizing fermentation conditions.  相似文献   

11.
2,3-Butanediol (2,3-BD) synthesis by a nonpathogenic bacterium Bacillus licheniformis NCIMB 8059 from enzymatic hydrolysate of depectinized apple pomace and its blend with glucose was studied. In shake flasks, the maximum diol concentration in fed-batch fermentations was 113 g/L (in 163 h, from the hydrolysate, feedings with glucose) while in batch processes it was around 27 g/L (in 32 h, from the hydrolysate and glucose blend). Fed-batch fermentations in the 0.75 and 30 L fermenters yielded 87.71 g/L 2,3-BD in 160 h, and 72.39 g/L 2,3-BD in 94 h, respectively (from the hydrolysate and glucose blend, feedings with glucose). The hydrolysate of apple pomace, which was for the first time used for microbial 2,3-BD production is not only a source of sugars but also essential minerals.  相似文献   

12.
Butanediols are widely used in the synthesis of polymers, specialty chemicals and important chemical intermediates. Optically pure R-form of 1,3-butanediol (1,3-BDO) is required for the synthesis of several industrial compounds and as a key intermediate of β-lactam antibiotic production. The (R)-1,3-BDO can only be produced by application of a biocatalytic process. Cupriavidus necator H16 is an established production host for biosynthesis of biodegradable polymer poly-3-hydroxybutryate (PHB) via acetyl-CoA intermediate. Therefore, the utilisation of acetyl-CoA or its upstream precursors offers a promising strategy for engineering biosynthesis of value-added products such as (R)-1,3-BDO in this bacterium. Notably, C. necator H16 is known for its natural capacity to fix carbon dioxide (CO2) using hydrogen as an electron donor. Here, we report engineering of this facultative lithoautotrophic bacterium for heterotrophic and autotrophic production of (R)-1,3-BDO. Implementation of (R)-3-hydroxybutyraldehyde-CoA- and pyruvate-dependent biosynthetic pathways in combination with abolishing PHB biosynthesis and reducing flux through the tricarboxylic acid cycle enabled to engineer strain, which produced 2.97 g/L of (R)-1,3-BDO and achieved production rate of nearly 0.4 Cmol Cmol−1 h−1 autotrophically. This is first report of (R)-1,3-BDO production from CO2.  相似文献   

13.

Background

2,3-Butanediol (2,3-BD) is a promising compound for various applications in chemical, cosmetic, and agricultural industries. Pyruvate decarboxylase (Pdc)-deficient Saccharomyces cerevisiae is an attractive host strain for producing 2,3-BD because a large amount of pyruvate could be shunted to 2,3-BD production instead of ethanol synthesis. However, 2,3-BD yield, productivity, and titer by engineered yeast were inferior to native bacterial producers because of the following metabolic limitations. First, the Pdc-deficient yeast showed growth defect due to a shortage of C2-compounds. Second, redox imbalance during the 2,3-BD production led to glycerol formation that lowered the yield.

Results

To overcome these problems, the expression levels of Pdc from a Crabtree-negative yeast were optimized in S. cerevisiae. Specifically, Candida tropicalis PDC1 (CtPDC1) was used to minimize the production of ethanol but maximize cell growth and 2,3-BD productivity. As a result, productivity of the BD5_G1CtPDC1 strain expressing an optimal level of Pdc was 2.3 folds higher than that of the control strain in flask cultivation. Through a fed-batch fermentation, 121.8 g/L 2,3-BD was produced in 80 h. NADH oxidase from Lactococcus lactis (noxE) was additionally expressed in the engineered yeast with an optimal activity of Pdc. The fed-batch fermentation with the optimized 2-stage aeration control led to production of 154.3 g/L 2,3-BD in 78 h. The overall yield of 2,3-BD was 0.404 g 2,3-BD/g glucose which corresponds to 80.7% of theoretical yield.

Conclusions

A massive metabolic shift in the engineered S. cerevisiae (BD5_G1CtPDC1_nox) expressing NADH oxidase was observed, suggesting that redox imbalance was a major bottleneck for efficient production of 2,3-BD by engineered yeast. Maximum 2,3-BD titer in this study was close to the highest among the reported microbial production studies. The results demonstrate that resolving both C2-compound limitation and redox imbalance is critical to increase 2,3-BD production in the Pdc-deficient S. cerevisiae. Our strategy to express fine-tuned PDC and noxE could be applicable not only to 2,3-BD production, but also other chemical production systems using Pdc-deficient S. cerevisiae.
  相似文献   

14.
2,3-Butanediol (2,3-BD) is an organic compound, which is widely used as a fuel and fuel additive and applied in chemical, food, and pharmaceutical industries. Contemporary strategies for its economic synthesis include the development of microbial technologies that use starch as cheap and renewable feedstock. The present work encompasses the metabolic engineering of the excellent 2,3-BD producer Klebsiella pneumoniae G31. In order to perform direct starch conversion into 2,3-BD, the amyL gene encoding quite active, liquefying α-amylase in Bacillus licheniformis was cloned under lac promoter control in the recombinant K. pneumoniae G31-A. The enhanced extracellular over-expression of amyL led to the highest extracellular amylase activity (68 U/ml) ever detected in Klebsiella. The recombinant strain was capable of simultaneous saccharification and fermentation (SSF) of potato starch to 2,3-BD. In SSF batch process by the use of 200 g/l starch, the amount of total diols produced was 60.9 g/l (53.8 g/l 2,3-BD and 7.1 g/l acetoin), corresponding to 0.31 g/g conversion rate. The presented results are the first to show successful starch conversion to 2,3-BD by K. pneumoniae in a one-step process.  相似文献   

15.
The meso-2,3-butanediol dehydrogenase (meso-BDH) from S. marcescens H30 is responsible for converting acetoin into 2,3-butanediol during sugar fermentation. Inactivation of the meso-BDH encoded by budC gene does not completely abolish 2,3-butanediol production, which suggests that another similar enzyme involved in 2,3-butanediol formation exists in S. marcescens H30. In the present study, a glycerol dehydrogenase (GDH) encoded by gldA gene from S. marcescens H30 was expressed in Escherichia coli BL21(DE3), purified and characterized for its properties. In vitro conversion indicated that the purified GDH could catalyze the interconversion of (3S)-acetoin/meso-2,3-butanediol and (3R)-acetoin/(2R,3R)-2,3-butanediol. (2S,3S)-2,3-Butanediol was not a substrate for the GDH at all. Kinetic parameters of the GDH enzyme showed lower K m value and higher catalytic efficiency for (3S/3R)-acetoin in comparison to those for (2R,3R)-2,3-butanediol and meso-2,3-butanediol, implying its physiological role in favor of 2,3-butanediol formation. Maximum activity for reduction of (3S/3R)-acetoin and oxidations of meso-2,3-butanediol and glycerol was observed at pH 8.0, while it was pH 7.0 for diacetyl reduction. The enzyme exhibited relative high thermotolerance with optimum temperature of 60 °C in the oxidation–reduction reactions. Over 60 % of maximum activity was retained at 70 °C. Additionally, the GDH activity was significantly enhanced for meso-2,3-BD oxidation in the presence of Fe2+ and for (3S/3R)-acetoin reduction in the presence of Mn2+, while several cations inhibited its activity, particularly Fe2+ and Fe3+ for (3S/3R)-acetoin reduction. The properties provided potential application for single configuration production of acetoin and 2,3-butanediol .  相似文献   

16.
In the biotechnological process, insufficient cofactor NADH and multiple by-products restrain the final titer of 1,3-propanediol (1,3-PD). In this study, 1,3-PD production was improved by engineering the 2,3-butanediol (2,3-BD) and formic acid pathways in integrative recombinant Klebsiella pneumoniae. The formation of 2,3-BD is catalysed by acetoin reductase (AR). An inactivation mutation of the AR in K. pneumoniae CF was generated by insertion of a formate dehydrogenase gene. Inactivation of AR and expression of formate dehydrogenase reduced 2,3-BD formation and improved 1,3-PD production. Fermentation results revealed that intracellular metabolic flux was redistributed pronouncedly. The yield of 1,3-PD reached 0.74 mol/mol glycerol in flask fermentation, which is higher than the theoretical yield. In 5 L fed-batch fermentation, the final titer and 1,3-PD yield of the K. pneumoniae CF strain reached 72.2 g/L and 0.569 mol/mol, respectively, which were 15.9% and 21.7% higher than those of the wild-type strain. The titers of 2,3-BD and formic acid decreased by 52.2% and 73.4%, respectively. By decreasing the concentration of all nonvolatile by-products and by increasing the availability of NADH, this study demonstrates an important strategy in the metabolic engineering of 1,3-PD production by integrative recombinant hosts.  相似文献   

17.

Background

Previously, a safe strain, Bacillus amyloliquefaciens B10-127 was identified as an excellent candidate for industrial-scale microbial fermentation of 2,3-butanediol (2,3-BD). However, B. amyloliquefaciens fermentation yields large quantities of acetoin, lactate and succinate as by-products, and the 2,3-BD yield remains prohibitively low for commercial production.

Methodology/Principal Findings

In the 2,3-butanediol metabolic pathway, glyceraldehyde-3-phosphate dehydrogenase (GAPDH) catalyzes the conversion of 3-phosphate glyceraldehyde to 1,3-bisphosphoglycerate, with concomitant reduction of NAD+ to NADH. In the same pathway, 2,3-BD dehydrogenase (BDH) catalyzes the conversion of acetoin to 2,3-BD with concomitant oxidation of NADH to NAD+. In this study, to improve 2,3-BD production, we first over-produced NAD+-dependent GAPDH and NADH-dependent BDH in B. amyloliquefaciens. Excess GAPDH reduced the fermentation time, increased the 2,3-BD yield by 12.7%, and decreased the acetoin titer by 44.3%. However, the process also enhanced lactate and succinate production. Excess BDH increased the 2,3-BD yield by 16.6% while decreasing acetoin, lactate and succinate production, but prolonged the fermentation time. When BDH and GAPDH were co-overproduced in B. amyloliquefaciens, the fermentation time was reduced. Furthermore, in the NADH-dependent pathways, the molar yield of 2,3-BD was increased by 22.7%, while those of acetoin, lactate and succinate were reduced by 80.8%, 33.3% and 39.5%, relative to the parent strain. In fed-batch fermentations, the 2,3-BD concentration was maximized at 132.9 g/l after 45 h, with a productivity of 2.95 g/l·h.

Conclusions/Significance

Co-overexpression of bdh and gapA genes proved an effective method for enhancing 2,3-BD production and inhibiting the accumulation of unwanted by-products (acetoin, lactate and succinate). To our knowledge, we have attained the highest 2,3-BD fermentation yield thus far reported for safe microorganisms.  相似文献   

18.
To obtain high-yield production of 2,3-butanediol (2,3-BD) from glucose, we optimized the culture conditions for a lactate dehydrogenase-deficient mutant (ΔldhA) of Klebsiella pneumoniae using response surface methodology. 2,3-BD production was successfully improved by optimizing pH (5.6), aeration (3.50 vvm) and concentration of corn steep liquor (45.0 mL/L) as a nitrogen source, resulting in a maximum level of 2,3-BD production of 148.8 g/L and productivity of 2.48 g/L/h. 2,3-BD was also obtained with high concentration (76.24 g/L) and productivity (2.31 g/L/h) from the K. pneumoniae mutant strain using sugarcane molasses as a carbon source.  相似文献   

19.
A newly-isolated strain of Serratia marcescens, G12, was characterized for 2,3-butanediol (2,3-BD) production. In shake-flask and batch fermentations, 2,3-BD reached 48.5 and 51 g l?1, respectively. Low amounts of (~8 g l?1) of acetoin were also formed. In fed-batch fermentations, strain G12 produced 72.8 g 2,3-BD l?1 with glucose initially at 130 g l?1. When aeration rate was increased to 2.5 vvm for the fermentation process, 2,3-BD reached 87.8 g l?1 and the highest productivity was 1.6 g l?1 h?1. Acetoin was at 6.2 g l?1. G12 therefore may be a suitable candidate strain for large-scale production of 2,3-BD.  相似文献   

20.
Feasibility of producing (R)-3-hydroxybutyric acid ((R)-3-HB) using wild type Azohydromonas lata and its mutants (derived by UV mutation) was investigated. A. lata mutant (M5) produced 780 mg/l in the culture broth when sucrose was used as the carbon source. M5 was further studied in terms of its specificity with various bioconversion substrates for production of (R)-3-HB. (R)-3-HB concentration produced in the culture broth by M5 mutant was 2.7-fold higher than that of the wild type strain when sucrose (3% w/v) and (R,S)-1,3-butanediol (3% v/v) were used as carbon source and bioconversion substrate, respectively. Bioconversion of resting cells (M5) with glucose (1% v/w), ethylacetoacetate (2% v/v), and (R,S)-1,3-butanediol (3% v/v), resulted in (R)-3-HB concentrations of 6.5 g/l, 7.3 g/l and 8.7 g/l, respectively.  相似文献   

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