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Liu Y, Mo S, He M, Zhai L, Xu C, Fan L. Phenylethynyl-terminated oligoimides based on bis( p-aminophenoxy)dimethyl silane: Effect of siloxane structure on processability and thermal stability. HIGH PERFORM POLYM 2019. [DOI: 10.1177/0954008318780211] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
A series of phenylethynyl-terminated oligoimides based on 2,3,3′,4′-biphenyltetracarboxylic dianhydride (a-BPDA), 2,2′-bis(trifluoromethyl)benzidine (TFDB), and bis( p-aminophenoxy)dimethyl silane (APDS) with different siloxane content and various calculated molecular weights were synthesized. The effect of siloxane structure on the processability of oligoimides and the thermal stability of cured polyimides (PIs) was investigated. The results indicated that the oligoimides have lower melt viscosity and broader processing window with the incorporation of flexible siloxane segment. The thermal stability of the cured PIs can be significantly enhanced by high-temperature postcuring due to the oxidative cross-linking of siloxane. The polyimide PI-s1-15 exhibited good balance between processability and thermal stability with the minimum melt viscosity of 0.4 Pa·s at 325°C and glass transition temperature as high as 470°C after postcuring at 450°C. The carbon fiber-reinforced composite T800/PI-s1-15 displayed excellent high-temperature performance, which gave the flexural strength and interlaminar shear strength of 703 and 33 MPa, respectively, when tested at the temperature as high as 450°C.
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Affiliation(s)
- Yi Liu
- Laboratory of Advanced Polymer Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China
- School of Chemistry and Chemical Engineering, University of Chinese Academy of Sciences, Beijing, China
| | - Song Mo
- Laboratory of Advanced Polymer Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China
| | - Minhui He
- Laboratory of Advanced Polymer Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China
| | - Lei Zhai
- Laboratory of Advanced Polymer Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China
| | - Caihong Xu
- Laboratory of Advanced Polymer Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China
- School of Chemistry and Chemical Engineering, University of Chinese Academy of Sciences, Beijing, China
| | - Lin Fan
- Laboratory of Advanced Polymer Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China
- School of Chemistry and Chemical Engineering, University of Chinese Academy of Sciences, Beijing, China
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2
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Meade J, Khan S, Ataai M, Domach M. Use of flux pre-analysis to enable 13C tracer studies in pyruvate kinase-deficient Escherichia coli. Biotechnol J 2012; 7:449-60. [DOI: 10.1002/biot.201100338] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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3
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Pan Z, Cunningham DS, Zhu T, Ye K, Koepsel RR, Domach MM, Ataai MM. Enhanced recombinant protein production in pyruvate kinase mutant of Bacillus subtilis. Appl Microbiol Biotechnol 2009; 85:1769-78. [PMID: 19787348 DOI: 10.1007/s00253-009-2244-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2009] [Revised: 09/01/2009] [Accepted: 09/03/2009] [Indexed: 10/20/2022]
Abstract
Previous work demonstrated that acetate production was substantially lower in pyruvate kinase (pyk) mutant of Bacillus subtilis. The significantly lower acetate production in the pyk mutant is hypothesized to have positive effect on recombinant protein production either by lifting the inhibitory effect of acetate accumulation in the medium or redirecting the metabolic fluxes beneficial to biomass/protein synthesis. In this study, the impact of the pyk mutation on recombinant protein production was investigated. Green fluorescent protein (GFP+) was selected as a model protein and constitutively expressed in both the wild-type strain and a pyk mutant. In batch cultures, the pyk mutant produced 3-fold higher levels of recombinant protein when grown on glucose as carbon source. Experimental measurements and theoretical analysis show that the higher protein yield of the mutant is not due to removal of an acetate-associated inhibition of expression or gene dosage or protein stability but a much lower acetate production in the mutant allows for a greater fraction of carbon intake to be directed to protein synthesis.
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Affiliation(s)
- Zhiwei Pan
- Department of Chemical Engineering, University of Pittsburgh, 1249 Benedum Hall, Pittsburgh, PA 15261, USA
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4
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Wierckx N, Ruijssenaars HJ, de Winde JH, Schmid A, Blank LM. Metabolic flux analysis of a phenol producing mutant of Pseudomonas putida S12: verification and complementation of hypotheses derived from transcriptomics. J Biotechnol 2009; 143:124-9. [PMID: 19560494 DOI: 10.1016/j.jbiotec.2009.06.023] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2008] [Revised: 06/17/2009] [Accepted: 06/18/2009] [Indexed: 10/20/2022]
Abstract
The physiological effects of genetic and transcriptional changes observed in a phenol producing mutant of the solvent-tolerant Pseudomonas putida S12 were assessed with metabolic flux analysis. The upregulation of a malate/lactate dehydrogenase encoding gene could be connected to a flux increase from malate to oxaloacetate. A mutation in the pykA gene decreased in vitro pyruvate kinase activity, which is consistent with a lower flux from phosphoenolpyruvate to pyruvate. Changes in the oprB-1, gntP and gnuK genes, encoding a glucose-selective porin, gluconokinase and a gluconate transporter respectively, altered the substrate uptake profile. Metabolic flux analysis furthermore revealed cellular events not predicted by the transcriptome analysis. Gluconeogenic formation of glucose-6-phosphate from triose-3-phosphate was abolished, in favour of increased phosphoenolpyruvate production. An increased pentose phosphate pathway flux resulted in higher erythrose-4-phosphate production. Thus, the availability of these two central phenol precursors was improved. Furthermore, metabolic fluxes were redistributed such that the overall TCA cycle flux was unaffected and energy production increased. Engineering P. putida S12 for phenol production has yielded a strain that channels carbon fluxes to previously unfavourable routes to reconcile the drain on metabolites required for phenol production, while maintaining basal flux levels through central carbon metabolism.
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Affiliation(s)
- Nick Wierckx
- TNO Quality of Life, Department of Bioconversion, Julianalaan 67, 2628 BC, Delft, The Netherlands.
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5
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Pan Z, Zhu T, Domagalski N, Khan S, Koepsel RR, Domach MM, Ataai MM. Regulating Expression of Pyruvate Kinase in Bacillus subtilis for Control of Growth Rate and Formation of Acidic Byproducts. Biotechnol Prog 2008; 22:1451-5. [PMID: 17022686 DOI: 10.1021/bp060049u] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Our prior work has shown that a pyk mutant of Bacillus subtilis exhibited diminished acidic byproduct accumulation, dramatically elevated phosphoenolpyruvate (PEP) pool, and reduced growth rate. To determine if a low acetate-producing but fast-growing strain of B. subtilis could be developed, we placed the expression of the pyk gene under the control of an inducible promoter. Enzyme measurements proved that PYK activity of the inducible PYK mutant (iPYK) increases with the isopropyl-beta-d-thiogalactopyranoside concentration. Batch growth experiments showed that growth rate and acid formation are closely related to the induction level of pyk. Measurements of cell growth rate and acetate formation of the iPYK mutant at different induction levels revealed that a PYK activity of about 12% of wild-type allows for good growth rate (0.4 h(-)(1) versus 0.63 h(-)(1) of wild-type) and low acetate production (0.26 g/L versus 1.05 g/L of wild-type). This is the first report to our knowledge of a metabolically engineered B. subtilis strain that allows good growth rate and low acid production in batch cultures. Finally, it was found that, by varying the pyk induction level, intracellular PEP concentration can be controlled over a wide range. The intracellular PEP concentration is intimately connected to the regulation of the transport of phosphotransferase system (PTS) sugars in the presence of glucose. Because there is no other method for modulating intracellular PEP levels, this finding represents a major advance in one's ability to dissect the function of the PTS and sugar metabolism in bacteria.
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Affiliation(s)
- Zhiwei Pan
- Department of Chemical Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, USA
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6
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Ghosh S, Grossmann IE, Ataai MM, Domach MM. A three-level problem-centric strategy for selecting NMR precursor labeling and analytes. Metab Eng 2006; 8:491-507. [PMID: 16793303 DOI: 10.1016/j.ymben.2006.05.001] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/21/2006] [Revised: 04/24/2006] [Accepted: 05/01/2006] [Indexed: 11/30/2022]
Abstract
We have developed a sequential set of computational screens that may prove useful for evaluating analyte sets for their ability to accurately report on metabolic fluxes. The methodology is problem-centric in that the screens are used in the context of a particular metabolic engineering problem. That is, flux bounds and alternative flux routings are first identified for a particular problem, and then the information is used to inform the design of nuclear magnetic resonance (NMR) experiments. After obtaining the flux bounds via MILP, analytes are first screened for whether the predicted NMR spectra associated with various analytes can differentiate between different extreme point (or linear combinations of extreme point) flux solutions. The second screen entails determining whether the analytes provide unique flux values or multiple flux solutions. Finally, the economics associated with using different analytes is considered in order to further refine the analyte selection process in terms of an overall utility index, where the index summarizes the cost-benefit attributes by quantifying benefit (contrast power) per cost (e.g., NMR instrument time required). We also demonstrate the use of an alternative strategy, the Analytical Hierarchy Process, for ranking analytes based on the individual experimentalist's-generated weights assigned for the relative value of flux scenario contrast, unique inversion of NMR data to fluxes, etc.
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Affiliation(s)
- Soumitra Ghosh
- Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA
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7
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Zhu T, Pan Z, Domagalski N, Koepsel R, Ataai MM, Domach MM. Engineering of Bacillus subtilis for enhanced total synthesis of folic acid. Appl Environ Microbiol 2005; 71:7122-9. [PMID: 16269750 PMCID: PMC1287646 DOI: 10.1128/aem.71.11.7122-7129.2005] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
Abstract
We investigated whether the yield of the B vitamin folic acid could be elevated in Bacillus subtilis. Strategies for increasing the folic acid yield were investigated by employing computer-aided flux analysis and mutation. Controlling the activity of the enzyme pyruvate kinase by placing it under inducible control was one strategy devised to elevate yield while insuring that a rapid growth rate results. Other single mutation strategies included amplifying the expression of the genes in the folate operon and overexpressing the Escherichia coli aroH gene, which encodes 2-dehydro-3-deoxyphosphoheptonate aldolase. The latter could conceivably elevate the abundance of the folic acid precursor, para-aminobenzoic acid. Strains that combined two or more mutations were also constructed. Overall, a strain possessing inducible pyruvate kinase, overexpressed aroH, and increased transcription and translation of genes from the folic operon exhibited the best yield. The yield was eightfold higher than that displayed by the parent B. subtilis 168 strain.
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Affiliation(s)
- T Zhu
- Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA
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8
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Malten M, Hollmann R, Deckwer WD, Jahn D. Production and secretion of recombinantLeuconostoc mesenteroides dextransucrase DsrS inBacillus megaterium. Biotechnol Bioeng 2004; 89:206-18. [PMID: 15593264 DOI: 10.1002/bit.20341] [Citation(s) in RCA: 72] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Leuconostoc mesenteroides dextransucrase DsrS was recombinantly produced in Bacillus megaterium and exported into the growth medium. For this purpose a plasmid-based xylose-inducible gene expression system was optimized via introduction of a multiple cloning site and an encoded optimal B. megaterium ribosome binding site. A cre mediating glucose-dependent catabolite repression was removed. Recombinant DsrS was found in the cytoplasm and exported via its native leader sequence into the growth medium. Elimination of the extracellular protease NprM increased extracellular DsrS concentrations by a factor of 4 and stabilized the recombinant protein for up to 12 h. Cultivation in a semi-defined medium resulted in a further doubling of extracellular DsrS concentration up to an activity of 65 Units/L. To develop an industrial process a high cell density cultivation of B. megaterium was established yielding cell dry weights of up to 80 g/L. After induction of dsrS expression high specific (362 Units/g) and volumetric (28,600 Units/L) activities of dextran free DsrS were measured. However, using high cell density cultivation, most DsrS was found cell-associated indicating current limitations of the production process. A protease accessibility assay identified the major limitation of DsrS production at the level of protein folding. Intracellular misfolding of DsrS hampered DsrS export via the SEC pathway at high cell densities. The subsequent use of a semi-defined mineral medium and the induction of DsrS production at lower cell densities increased protein export efficiency remarkably, but also led to extracellular DsrS aggregation. Further optimization strategies for the production of recombinant DsrS in B. megaterium are discussed.
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Affiliation(s)
- Marco Malten
- Institute of Microbiology, Technical University Braunschweig, Spielmannstrasse 7, D-38106 Braunschweig, Germany
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9
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Zhu T, Phalakornkule C, Ghosh S, Grossmann IE, Koepsel RR, Ataai MM, Domach MM. A metabolic network analysis & NMR experiment design tool with user interface-driven model construction for depth-first search analysis. Metab Eng 2003; 5:74-85. [PMID: 12850130 DOI: 10.1016/s1096-7176(03)00023-5] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Abstract
A Windows program for metabolic engineering analysis and experimental design has been developed. A graphical user interface enables the pictorial, "on-screen" construction of a metabolic network. Once a model is composed, balance equations are automatically generated. Model construction, modification and information exchange between different users is thus considerably simplified. For a given model, the program can then be used to predict all the extreme point flux distributions that optimize an objective function while satisfying balances and constraints by using a depth-first search strategy. One can also find the minimum reaction set that satisfies different conditions. Based on the identified flux distributions or linear combinations, the user can simulate the NMR and GC/MS spectra of selected signal molecules. Alternately, spectra vectorization allows for the automated optimization of labeling experiments that are intended to distinguish between different, yet plausible flux extreme point distributions. The example provided entails predicting the flux distributions associated with deleting pyruvate kinase and designing 13C NMR experiments that can maximally discriminate between the flux distributions.
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Affiliation(s)
- T Zhu
- Department of Chemical Engineering, The University of Pittsburgh, USA
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10
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Zhao J, Shimizu K. Metabolic flux analysis of Escherichia coli K12 grown on 13C-labeled acetate and glucose using GC-MS and powerful flux calculation method. J Biotechnol 2003; 101:101-17. [PMID: 12568740 DOI: 10.1016/s0168-1656(02)00316-4] [Citation(s) in RCA: 126] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
A new algorithm was developed for the estimation of the metabolic flux distribution based on GC-MS data of proteinogenic amino acids. By using a sensitive GC-MS protocol as well as by combining the global search algorithm such as the genetic algorithm with the local search algorithm such as the Levenberg-Marquardt algorithm, not only the distribution of the net fluxes in the entire network, but also certain exchange fluxes which contribute significantly to the isotopomer distribution could be quantified. This mass isotopomer analysis could identify the biochemical changes involved in the regulation where acetate or glucose was used as a main carbon source. The metabolic flux analysis clearly revealed that when the specific growth rate increased, only a slight change in flux distribution was observed for acetate metabolism, indicating that subtle regulation mechanism exists in certain key junctions of this network system. Different from acetate metabolism, when glucose was used as a carbon source, as the growth rate increased, a significant increase in relative pentose phosphate pathway (PPP) flux was observed for Escherichia coli K12 at the expense of the citric acid cycle, suggesting that when growing on glucose, the flux catalyzed by isocitrate dehydrogenase could not fully fulfill the NADPH demand for cell growth, causing the oxidative PPP to be utilized to a larger extent so as to complement the NADPH demand. The GC-MS protocol as well as the new algorithm demonstrated here proved to be a powerful tool for characterizing metabolic regulation and can be utilized for strain improvement and bioprocess optimization.
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Affiliation(s)
- Jiao Zhao
- Institute for Advanced Biosciences, Keio University, Yamagata 997-0017, Japan
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11
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YANG CHEN, HUA QIANG, SHIMIZU KAZUYUKI. Quantitative Analysis of Intracellular Metabolic Fluxes Using GC-MS and Two-Dimensional NMR Spectroscopy. J Biosci Bioeng 2002. [DOI: 10.1263/jbb.93.78] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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12
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Quantitative analysis of intracellular metabolic fluxes using GC-MS and two-dimensional NMR spectroscopy. J Biosci Bioeng 2002. [DOI: 10.1016/s1389-1723(02)80058-5] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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13
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Rohlin L, Oh MK, Liao JC. Microbial pathway engineering for industrial processes: evolution, combinatorial biosynthesis and rational design. Curr Opin Microbiol 2001; 4:330-5. [PMID: 11378488 DOI: 10.1016/s1369-5274(00)00213-7] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Abstract
Microbial pathway engineering has made significant progress in multiple areas. Many examples of successful pathway engineering for specialty and fine chemicals have been reported in the past two years. Novel carotenoids and polyketides have been synthesized using molecular evolution and combinatorial strategies. In addition, rational design approaches based on metabolic control have been reported to increase metabolic flux to specific products. Experimental and computational tools have been developed to aid in design, reconstruction and analysis of non-native pathways. It is expected that a hybrid of evolutionary, combinatorial and rational design approaches will yield significant advances in the near future.
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Affiliation(s)
- L Rohlin
- Department of Chemical Engineering, 405 Hilgard Avenue, University of California, Los Angeles, California 90095, USA
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14
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Phalakornkule C, Lee S, Zhu T, Koepsel R, Ataai MM, Grossmann IE, Domach MM. A MILP-based flux alternative generation and NMR experimental design strategy for metabolic engineering. Metab Eng 2001; 3:124-37. [PMID: 11289789 DOI: 10.1006/mben.2000.0165] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
A mixed-integer linear program (MILP) is described that can enumerate all the ways fluxes can distribute in a metabolic network while still satisfying the same constraints and objective function. The multiple solutions can be used to (1) generate alternative flux scenarios that can account for limited experimental observations, (2) forecast the potential responses to mutation (e.g., new reaction pathways may be used), and (3) (as illustrated) design (13)C NMR experiments such that different potential flux patterns in a mutant can be distinguished. The experimental design is enabled by using the MILP results as an input to an isotopomer mapping matrices (IMM)-based program, which accounts for the network circulation of (13)C from a precursor such as glucose. The IMM-based program can interface to common plotting programs with the result that the user is provided with predicted NMR spectra that are complete with splittings and Lorentzian line-shape features. The example considered is the trafficking of carbon in an Escherichia coli mutant, which has pyruvate kinase activity deleted for the purpose of eliminating acetate production. Similar yields and extracellular measurements would be manifested by the flux alternatives. The MILP-IMM results suggest how NMR experiments can be designed such that the spectra of glutamate for two flux distribution scenarios differ significantly.
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Affiliation(s)
- C Phalakornkule
- Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA
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15
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Fry B, Zhu T, Domach MM, Koepsel RR, Phalakornkule C, Ataai MM. Characterization of growth and acid formation in a Bacillus subtilis pyruvate kinase mutant. Appl Environ Microbiol 2000; 66:4045-9. [PMID: 10966427 PMCID: PMC92257 DOI: 10.1128/aem.66.9.4045-4049.2000] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
Abstract
Based on measurements and theoretical analyses, we identified deletion of pyruvate kinase (PYK) activity as a possible route for elimination of acid formation in Bacillus subtilis cultures grown on glucose minimal media. Evidence consistent with the attenuation of PYK flux has come from metabolic flux calculations, metabolic pool and enzymatic activity measurements, and a series of nuclear magnetic resonance experiments, all suggesting a nearly complete inhibition of PYK activity for glucose-citrate fed cultures in which the amount of acid formation was nearly zero. In this paper, we report the construction and characterization of a pyk mutant of B. subtilis. Our results demonstrate an almost complete elimination of acid production in cultures of the pyk mutant in glucose minimal medium. The substantial reduction in acid production is accompanied by increased CO(2) production and a reduced rate of growth. Metabolic analysis indicated a dramatic increase in intracellular pools of phosphoenolpyruvate (PEP) and glucose-6-P in the pyk mutant. The high concentrations of PEP and glucose-6-P could explain the decreased growth rate of the mutant. The substantial accumulation of PEP does not occur in Escherichia coli pyk mutants. The very high concentration of PEP which accumulates in the B. subtilis pyk mutant could be exploited for production of various aromatics.
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Affiliation(s)
- B Fry
- Department of Chemical Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15219, USA
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16
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Hecke PV. Current awareness. NMR IN BIOMEDICINE 2000; 13:314-319. [PMID: 10960923 DOI: 10.1002/1099-1492(200008)13:5<314::aid-nbm627>3.0.co;2-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
In order to keep subscribers up-to-date with the latest developments in their field, John Wiley & Sons are providing a current awareness service in each issue of the journal. The bibliography contains newly published material in the field of NMR in biomedicine. Each bibliography is divided into 9 sections: 1 Books, Reviews ' Symposia; 2 General; 3 Technology; 4 Brain and Nerves; 5 Neuropathology; 6 Cancer; 7 Cardiac, Vascular and Respiratory Systems; 8 Liver, Kidney and Other Organs; 9 Muscle and Orthopaedic. Within each section, articles are listed in alphabetical order with respect to author. If, in the preceding period, no publications are located relevant to any one of these headings, that section will be omitted.
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Affiliation(s)
- PV Hecke
- Katholicke Universiteit Leuven, Facultiet der Geneeskunde, Biomedische NMR Eenheid, Onderwijs en Navorsing, Gasthuisberg, B-3000 Leuven, Belgium
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17
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Lee S, Phalakornkule C, Domach MM, Grossmann IE. Recursive MILP model for finding all the alternate optima in LP models for metabolic networks. Comput Chem Eng 2000. [DOI: 10.1016/s0098-1354(00)00323-9] [Citation(s) in RCA: 167] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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