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INDEX , A Acetate excretion, 260-261 labeled, T CA cycle metabolite isotopomers, 377-382 utilization in Escherichia coli, 394-396 Acetolactate synthase, in Bacillus subtilis, 261-262 Acetone, industrial fermentation,, 220-222 Acetyl-CoA formation, 48-51 metabolism, label distribution, 364-367 Actinomycetes, as polyketide source, 237-238 Actinorhodin, production, 236 Active transport ATP consumption, 36-37 group translocation, 35-36 role of permeases, 34 via ATPase, 34-35 Alanine metabolic pathway synthesis algorithm, 299-300 synthesis in Zymomonas mobilis, 215 Alcohol fermentation pathway, 46-48 passive diffusion, 28-29 Alcohol dehydrogenase, catalyzed reaction, AG O ', 662 Aldehyde dehydrogenase, in alcohol fermenta- tion, 47 Algorithms Gibbs free energy change for reaction, 641-645 metabolic flux, optimization, 610-613 metabolic pathway synthesis alanine synthesis, 299-300 analysis, 307-308 execution, 288-295 lysine biosynthesis, 300-303 alternatives, 304-306 maximum yield restrictions, 306-307 role of oxalacetate, 303 overview, 295-297 serine synthesis, 297-298 Allosteric enzymes application of Hill equation, 172-173 cooperative binding, 170-172 cooperativity, 168-169 noncooperative sites, 169-170 Amine group, in AG O' determination, 651 Amino acids aromatic, biosynthesis independent pathways, 557-563 model, 554.557, biosynthesis, 58-61 catabolism, 55-57 in AG O' determination, 651 from metabolic pathway manipulation alanine, 215 for amino acid production, 212-214 isoleucine, 219-220 threonine, 215-219 tryptophan, 214-215 707 708 Index production by glutamic acid bacteria, 413-414 theoretical yields, 419-425 Aminocarbohydrates, polymerization, 66-71 Ammonia ammonium, uptake, 415 in lysine biosynthesis, 300-303 passive diffusion, 28-29 Anaplerotic pathways, TCA cycle, 53-55 Antibiotics, production by metabolic path- ways, 235-237 Aspartate, pathway, feedback control, 165-168 Aspergillus nidulans, PP pathway, 43 Aspergillus niger, in antibiotic production, 236 Assembly reactions, in cellular metabolism, 22-23 Atom mapping matrix, in isotope distribution modeling, 405-409 ATP as branch point in metabolic network model, 566-573, 593-596 consumption for active transport, 36-37 consumption for maintenance, 72-73 effect of organic acids, 29-31 in Escherichia coli metabolism, 344-345 formation, Gibbs free energy, 659-660 in pathway integration, 24 production and consumption, balance, 105 ATPase as active transport system, 34-35 FoFI-, proton export, 37 B Bacillus subtilis, acetolactate synthase, 261-262 Bacteria glutamic acid amino acid production, 413-414, 419-425 biochemistry and regulation, 414-419 glyoxylate shunt pathway, 396-397 lactic acid, heterofermentative metabolism, MFA, 330-333 TCA cycle, 396-397 Benzene-toluene-p-xylene mixture degradation with pWWO, 269-271 as pollutant, 267-268 simultaneous biodegradation, 271-273 Benzoic acid, effect on respiration in yeast, 29-31 Biocatalysts, production, 12-13 Biochemical pathways identification, 311-312 metabolite participation, 295-297 Biochemical systems theory, modeling com- plex systems, 463-464 Biochemistry glutamic acid bacteria, 414-419 role in M CA, 8-9 Biodegradation, BTX mixtures, 269-271 Biofuel, ethanol as, 205 Biomass cell in black box model, 117-118 dry weight, 22 constituents in cellular reactions, 83 in dynamic mass balance, 98 Biopolymers, production by organisms, 243-244 Bioreactor control equivalents, in MCA, 8 Bioreactors batch type, 94 continuous type, 95 dynamics, 93-94 fed-batch type, 95 Biosynthetic reactions amino acids, 58-61 aromatic amino acids independent pathways, 557-563 model, 554-557 in cellular metabolism, 23-24, 57-58 control by enzyme activity, 165-168 deoxyribonucleotides, 62 fatty acids, 62-64 lipids, 62-64 lysine alternatives, 304-306 bypass pathway flux, 359-364 from glucose and ammonia, 300-303 group FCC in, 589-590 maximum yield restriction, 306-307 metabolic fluxes, 317-320 Index 7 0 9 MFA description, 426-427 perturbations at Glc6P branch point, 429-436 perturbations at PEP-pyruvate branch point, 436-438 principal node identification, 428-429 role of oxaloacetate, 303 nucleotides, 62 penicillin application of M CA with thermokinetics, 690-692 MCA, 494-499 storage carbohydrate, 64-65 Biotin, production, 242-243 Black box model cell biomass, 117-118 simple carbon balance, 120-121 description, 118 elemental balances, 123 generalized degree of reduction balance, 124-125 metabolic, 85-86, 106 variables, 119-120 Bottom-up approach control coefficients in metabolic networks, 582-585 for group control coefficient determination ATP branch point, 593-596 FDP//GAP branch point, 598 glucose-6-phosphate branch point, 597-598 PPH branch point, 600-601 X5P 4- CHR branch point, 599-600 Branch points ATP, group control coefficients, 593-596 classification in metabolic networks, 193-196 control in cellular pathways, 311 FDP//GAP, group control coefficients, 598 Glc6P, metabolic flux perturbations, 429-436 glucose-6-phosphate, group control coeffi- cients, 597-598 MCA applications, 499-506 gluconeogenesis, 506-510 glycolysis, 506-510 oxidative phosphorylation, 510-513 in metabolic networks, 522-525 ATP, 566-573 chorismate, 576-577 fructose-l,6-diphosphate, 574-576 glucose-6-phosphate, 573-574 glyceraldehyde-3-phosphate, 574-576 link metabolites and group flux, 563-566 prephenate, 578-580 xylulose-5-phosphate, 576-577 multiple, overlapping reaction groups, 605-607 PEP-pyruvate, flux perturbations, 436-438 PPH, group control coefficients, 600-601 prephenate, application of group FCC con- sistency tests, 623-625 single, flux distribution, control, 539-545 X5P 4- CHR, group control coefficients, 599-600 BTX mixture, see Benzene-toluene-p-xylene mixture Butanol, industrial fermentation, 220-222 C Calorimeter, for heat measurement, 129 Candida lipolytica, fermentation of citric acid, MFA, 320-325 Candida shehatae, as pentose fermentor, 208 Carbohydrates aminocarbohydrates, 66-71 polymerization, 66-71 storage, synthesis, 64-65 worldwide production, 11-12 Carbon balance in simple black box model, 120-121 direct balance, 397-405 in T CA cycle, 50 Carbon dioxide passive diffusion, 28-29 in PP pathway, 40-42 Carbonyl cyanide p-trifluoro-metho- xyphenylhydrazone, effect on proton-mo- tive force, 511 Carboxylation, pyruvate, compensation by PPC, 441-442 Carboxylic acids, in AG ~ determination, 651 Carrier-substrate complex, in Michaelis-Menten reaction, 32-34 Catabolism, fats, organic acids and amino acids, 55-57 710 Index CCC, see Concentration control coefficients Cell biomass in black box model, 117-118 dry cell weight, 22 Cell cultures mammalian, MFA description, 445-446 intracellular fluxes, 446-452 isotope labeling studies, 452-457 media design, application of MFA, 457-458 Cell growth effect of organic acids, 260 nonequilibrium thermodynamic descrip- tion, 679-682 Cell physiology in reaction pathway analysis, 3 role of metabolic flux, 4-5 Cells liver, rat, gluconeogenesis and glycolysis, 506-510 whole, global control definition, 180-183 signal transduction by phosphorylation, 183-188 Cellular engineering for cellular properties, 256-257 maintenance of genetic stability, 263-266 nitrogen metabolism alteration, 257 overflow metabolism prevention,259-262 for oxygen utilization, 257-259 substrate uptake alteration, 262-263 Cellular metabolism analysis with metabolic engineering, 11 assembly reactions, 22-23 biosynthetic reactions, 23-24 dry cell weight biomass, 22 fueling reactions, 24 pathway integration, 24 polymerization reactions, 23 relaxation time, 25-27 role of NADH and NADPH, 44-45 Cellular pathways branch point control, 311 dynamic mass balances, 93-94 linear rate equations, 102-105 metabolic model, 85-86 metabolites, dilution effect, 314-316 mixed acid fermentation in Escherichia coli rates, 90-92 specific rates, 92-93 nonequilibrium thermodynamics, 663 stoichiometry biomass constituents, 83 intracellular metabolites, 83 metabolic product, 82-83 substrate, 82 yield coefficients, 102-105 Cellular synthesis, biosynthetic reactions, 57-58 Cellulose-hemicellulose depolymerization, 229-230 Cephalosporin C, production, 236 Cephalosporium acremonium, antibiotic pro- duction, 236 Chemical engineering, role in metabolic engi- neering, 10 Chemical reactions alcohol dehydrogenase-catalyzed, AG O ', 662 Gibbs free energy, algorithm, 641-645 group contributions, in Gibbs free energy determination, 649-654 thermodynamic feasibility, 639-641 Chlamydomonas reinhardtii, in hydrogen pro- duction, 255 Cholesterol, synthesis and elimination, 179-180 Chorismate in aromatic amino acid biosynthesis, 557 as branch point in metabolic network model, 576-577, 599-600 CHR, see Chorismate Citrate, in TCA cycle, 50 Citrate synthase, in T CA cycle, 50 Citric acid, fermentation, MFA, 320-325 C-mole basis, and yield calculation, 122 Coefficients concentration control, 526-527 control, 582-585, 613-616 elasticity calculation from kinetic models, 487-488 gluconeogenesis, 508-509 in MCA, 470-473 flux control, see Flux control coefficients for MCA, 513-514 yield in black box model, 119-120 calculation, 122 cellular reactions, 102-105 Coenzymes, in biosynthetic reactions, 23-24 Competitive inhibition, characteristics, 159-161 Index 711 Computer programs, MATLAB, MATHCAD, and MATHEMATICA, 135 Concentration change prediction with CCC, 526-527 nutrient, role in flux changes, 527-529 Concentration control coefficients group determination, 591-592 from flux measurements, 585-586 in metabolic networks, 582-585 in prediction of concentration changes, 526-527 Concentration gradient, maintenance, 72 Condition number, calculation, 349 Connectivity theorem, in MCA, 470-473 Consistency tests, for group FCCs application to prephenate branch point, 623-625 characteristics, 616-618 development, 618-623 Control coefficients group, see Group control coefficients in metabolic networks, 582-585 for Saccharomyces cerevisiae flux optimiza- tion, 613-616 Control equivalents, in MCA bioreactor control equivalents, 8 group control equivalents, 8 Copolymers, production, 247-248 Corynebacterium glutamicum in amino acid production, 212-214 deletion mutants, MFA, 439-441 transhydrogenase discovery, 442-445 isoleucine synthesis, 219-220 lysine biosynthesis, MFA description, 426-427 perturbations at Glc6P branch point, 429-436 perturbations at PEP-pyruvate branch point, 436-438 principal node identification, 428-429 lysine production, 43 pyruvate carboxylation, compensation by PPC, 441-442 threonine synthesis, 215-219 Cost, ethanol production, 206-208 D Data consistency, in anaerobic yeast cultiva- tion, 125-126 Degradation biodegradation, BTX mixtures, 269-271 xenobiotic degradation, 266 Delgado-Liao approach, extension, 689-690 3-Deoxy-D-arabino-heptulosonate-7-phos- phate, in aromatic amino acid biosynthe- sis, 557 Deoxyribonucleic acid polymerization, 66-71 recombination, in metabolic pathway ma- nipulation, 1-2 Deoxyribonucleotides, biosynthesis, 62 ' Depolymerization, cellulose--hemicellulose, 229-230 Deviation theory, large basis, 514-517 in FCC determination, 519-520 for role of nutrient concentration in flux change, 527-529 Diffusion facilitated definition, 31 saturation kinetics, 32-34 free, in passive transport, 28 Diisopropyl phosphofluoridate, as irreversible inhibitor, 163 1,3-Diphosphoglycerate, in EMP pathway, 40 Dissipation function, in nonequilibrium ther- modynamics, 664-665 DNA, see Deoxyribonucleic acid Dynamic mass balance in cellular reactions, 93-94 derivation, 95-96, 99-102 biomass constituents, 98 substrates, 97-98 E ED pathway, see Entner-Doudoroff pathway Effector amplification factor, in nutrient con- centration calculations, 528 Elasticity coefficients calculation from kinetic models, 487-488 gluconeogenesis, 508-509 Electrical potential, gradient, maintenance, 72 Electrolysis, in hydrogen production, 253 Electron transport, NADH to oxygen, 51-53 Elemental balance generalized degree of reduction balance, 124-125 in simple black box,model, 123 7 1 2 Index Embden-Meyerhof-Pamas pathway control points, 44 in glycolysis, 38 hexokinase reaction, nonequilibrium ther- modynamics, 665 intermediates, 42-44 reactions, 40 thermodynamic feasibility analysis, 645-649 EMP pathway, see Embden-Meyerhof-Parnas pathway Energetics, Saccharomyces cerevisiae, 110-114 Energy free, see Free energy generation, decoupling, 29-31 transduction, definition, 663 Enolase, elasticity coefficient, 509 Entner-Doudoroff pathway in glycolysis, 38 reactions, 42 Enumeration, complete, metabolite iso- topomers, 367-370 Enzyme I, in active transport, 36 Enzyme II, in active transport, 36 Enzymes activity in Escherichia coli, regulation, 150, 152 allosteric application of Hill equation, 172-173 cooperative binding, 170-172 cooperativity, 168-169 noncooperative sites, 169-170 change, in determination of flux change, 521-522 control of biosynthetic network, 165-168 genetic alteration, 478, 480-481 in hydrogen production, 253 kinetics, 152-153 purified, in titration, in FCC, 481-482 transcriptional control, 173-177 translational control, 178-180 Equations Hill, application to allosteric enzymes, 172-173 linear rate, cellular reactions, 102-105 phenomenological, nonequilibrium thermo- dynamics, 666-667 Equilibrium, rapid, in substrate inhibition, 155-156 Errors diagnosis in yeast cultivation measurement, 144-146 in gross measurement, 130-131 in metabolic flux measurement, 625-626 in variance-covariance matrix calculations, 142-143 Erwinia carotovora, for cellulose-hemicellu- lose depolymerization, 229-230 Erwinia chrysanthemi, for cellulose-hemicel- lulose depolymerization, 229-230 Erythromycin, production by Saccha- ropolyspora erythrea, 238-241 Erythrose-4-phosphate, in aromatic amino acid biosynthesis, 556-557 Escherichia coli acetate utilization, 394-396 enzymatic activity, regulation, 150, 152 in ethanol production, 210-211 fermentative pathway, 46 growth, 413 indigo production, 250-252 metabolism, stoichiometry, 344-347 mixed acid fermentation rates, 86-90 specific rates, 92-93 overflow metabolism, prevention, 259-262 Pho regulon, 187-188 promoters, transcription initiation, 174-175 1,3-propanediol synthesis, 222-223 tryptophan synthesis, 214-215 Ethanol aerobic yeast cultivation without formation, 136-140, 143 as biofuel, 205 from fermentative metabolism, 208-209 from glucose conversion, 47-48 -glucose mixtures, yeast growth, 413 industrial fermentation, 220-222 production, 206-208 from Escherichia cali, 210-211 from pdc and adh genes, 211-212 pentose metabolism for, 224 from pyruvatedecarboxylase, 209 from Saccharomyces cerevisiae, 208 by yeast, 225-227 by Zymomonas mobilis, 227-228 Index 7 1 3 Eukaryotes, metabolic network regulation, 190-192 Excretion, acetate, 260-261 F Facilitated diffusion definition, 31 saturation kinetics, 32-34 Fats, catabolism, 55-57 Fatty acids biosynthesis, 62-64 passive diffusion, 28-29 FCC, see Flux control coefficients FDP, see Fructose-l,6-diphosphate Feedback control in aspartate pathway, 165-168 inhibition and activation, modes, 151 Fermentation alcohol, 46-48 citric acid, MFA, 320-325 in hydrogen production, 253 industrial, solvents, 220-222 mixed acid in Escherichia coli rates, 86-90 specific rates, 92-93 pentose, by microorganisms, 208 pyruvate conversion to lactic acid, 45-46 First Law of Thermodynamics, definition, 631 Flow-force relations, in nonequilibrium ther- modynamics, 668-669 Flux control coefficients change prediction, 520-521,525-526 determination, 475-478 double modulation, 484-485 elasticity coefficients, 487-488 from enzyme change, 521-522 expressions for estimation, 517-519 genetic alteration of expressed enzyme, 478, 480-481 group definition, 538-539, 546-547 kernel determination via matrix algebra, 551-553 SIMS matrix analysis, 549 kinetic models, 491-492 from large deviations, 519-520 matrix, 500 in MCA, 465-469 nonlinear function determination, 476 single modulation, 486 titration with purified enzyme, 481-482 titration with specific inhibitors, 482-483 top-down approach, 486-487 transient metabolite measurement, 488-491 Force ratio, in nonequilibrium thermodynam- ics, 671 Fossil fuel, ethanol as, 205 Free energy Gibbs, see Gibbs Free energy glycolytic reactions, 637-638 standard glucose oxidation, 680 hexokinase reaction in EMP pathway, 665 nomenclature, 635 oxidative phosphorylation, 674 reaction, 636-637 Fructan, production, 249-250 Fructose, phosphorylation, 39 Fructose- 1,6-diphosphate in aromatic amino acid biosynthesis, 556 as branch point in metabolic network model, 574-576, 598 Fructose-6-phosphate in EMP pathway, 40 in glycolysis, 39 Fueling reactions in cellular metabolism, 24 purpose, 38 G GAP, see Glyceraldehyde-3-phosphate Genes enzyme, alteration, 478, 480-481 hemoglobin, cloning, 258-259 pdc and adh, in ethanol production, 211-212 pentose metabolism for ethanol production, 224 stability, maintenance, 263-266 Genetic engineering, in metabolic pathway manipulation, 1-2 Genetic regulatory network, cholesterol syn- thesis and elimination, 179-180 Genetics, role in MCA, 8-9 Gibbs free energy alcohol dehydrogenase-catalyzed reaction, 662 714 Index ATP formation, 659-660 determination, 631-634 glutamate' formation, 654, 659 from group contributions, 649-654 in growth energetics, 71 reactions, algorithm, 641-645 relationship to thermodynamic feasibility, 639-641 in substrates, 126-127 Glc6P, see Glucose-6-phosphate Global control, at whole cell level definition, 180-183 signal transduction by phosphorylation, 183-188 Gluconeogenesis, rat liver cells, 506-510 Glucose conversion to ethanol, 47-48 -ethanol mixtures, yeast growth, 413 facilitated diffusion, 31-32 in lysine biosynthesis, 300-303 oxidation, standard free energy, 680 phosphorylation, 39 transport, 415 uptake by phosphotransferase system, 83-84 Glucose dehydrogenase, in hydrogen produc- tion, 253-255 Glucose-l-phosphate, in glycolysis, 38-39 Glucose-6-phosphate in aromatic amino acid biosynthesis, 556 branch point, metabolic flux perturbations, 429-436 as branch point in metabolic network model, 573-574, 597-598 in glycolysis, 38-39 in PP pathway, 40-42 Glutamate, formation, Gibbs free energy, 654, 659 Glutamate dehydrogenase, production, 257 Glutamic acid, bacteria amino acid production, 413-414, 419-425 biochemistry and regulation, 414-419 Glyceraldehyde-3-phosphate in aromatic amino acid biosynthesis, 556 as branch point in metabolic network model, 574-576, 598 in ED pathway, 42 in EMP pathway, 40 Glyceraldehyde-3-phosphate dehydrogenase, elasticity coefficient, 509 Glycerol, in aromatic amino acid biosynthesis, 556 Glycolysis definition, 38 free energy, 637-638 Leloir pathway, 39-40 rat liver cells, 506-510 sugars, 38-39 Glyoxylate, shunt pathway, in bacteria, 396-397 Gradients concentration, maintenance, 72 proton, in Penicillium chrysogenum, 29-31 Group concentration control coefficients determination, 591-592 from flux measurements, 585-586 in metabolic networks, 582-585 Group contribution method, in Gibbs free en- ergy determination, 649-654 Group control coefficients, metabolic network model ATP branch point, 593-596 FDP/GAP branch point, 598 glucose-6-phosphate branch point, 597-598 PPH branch point, 600-601 X5P + CHR branch point, 599-600 Group control equivalents, in MCA, 8 Group flux control coefficients from characterized perturbations, 590-591 consistency test and experimental valida- tion, 616-618 experimental determination, 601-604 graphical representation, 619-621 intermetabolite links, 607-609 for lysine biosynthesis, 589-590 measurement error effects, 625-626 from three perturbations, 586-590 Group translocation, in active transport, 35-36 Growth cell effect of organic acids, 260 nonequilibrium thermodynamic descrip- tion, 679-682 energetics, definition, 71 Escherichia coli, 413 Penicillium chrysogenum, rate, 104-105 Saccharomyces cerevisiae anaerobic growth, 413 on glucose-ethanol mixtures, 413 Index 7 1 5 yeast, heat generation aerobic growth, 127-129 anaerobic growth, 127-129 H Heat balance, 126-127 generation at anaerobic and aerobic growth, 127-129 Hemicellulose-cellulose depolymerization, 229-230 Hemoglobin, gene cloning, 258-259 Hexokinase, reaction in EMP pathway, 665 Hexose monophosphate, in glycolysis, 38-39 Hill equation, application to allosteric en- zymes, 172-173 Histidine protein, in active transport, 36 Hydrogen, production, 253-255 Hydrogenase, in hydrogen production, 253-255 3-Hydroxybutyrate, in copolymer production, 247-248 3-Hydroxyvalerate, in copolymer production, 247-248 I Indigo, production, 250-252 Inhibition systems competitive, characteristics, 159-161 irreversible biosynthetic network control, 165-168 molecules, 163-165 noncompetitive, characteristics, 161-163 simple reversible, substrate inhibition, 153, 157-159 substrate competitive inhibition, 159-161 noncompetitive inhibition, 161-163 rapid equilibrium, 155-156 as simple reversible inhibition system, 153, 157-159 steady-state approach, 156-157 uncompetitive inhibition, 163 titration, in FCC, 482-483 uncompetitive, characteristics, 163 Intensity, transient, in metabolic flux determi- nation, 356-357 Intermetabolite links, group FCCs, 607-609 Intracellular metabolites, in cellular reactions, 83 Irreversible inhibition biosynthetic network control, 165-168 molecules, 163-165 Isoleucine, synthesis in Corynebacterium glu- tamicum, 219-220 Isotope labeling analysis acetate, 377-382 acetate utilization in Escherichia coli, 394-396 acetyl-CoA metabolism, 364-367 in complete enumeration of metabolite iso- topomers, 367-370 distribution, modeling with atom mapping matrix, 405-409 flux in mammalian cell cultures, 452-457 glyoxylate shunt pathway in bacteria, 396-397 metabolite carbon atoms, NMR analysis, 382-390 pyruvate, 371-377 pyruvate utilization in mammal, 390-394 steady state experiments, 357-359 TCA cycle inbacteria, 396-397 Isotopomers, metabolite complete enumeration, 367-370 direct carbon balances, 397-405 T CA cycle, distribution from labeled acetate, 377-382 from labeled pyruvate, 371-377 K Kernel, determination via matrix algebra, 551-553 2-Keto-3-deoxy-6-phosphogluconate, in ED pathway, 42 2-Keto-3-deoxy-6-phosphogluconate aldolase, in ED pathway, 42 2-Keto-L-gluconic acid, commercial produc- tion, 241-242 a-Ketoglutarate, in TCA cycle, 53-55 a-Ketoglutarate dehydrogenase, in T CA cycle, 50 716 Index Kinetic models dynamic mass balance, 100 elasticity coefficient calculation, 487-488 enzyme, 152-153 for FCC, 491-492 Saccharomyces cerevisiae, 601-604 saturation, facilitated diffusion, 32-34 L Labeling, see Isotope labeling analysis Lac operon, transcriptional control, 175-177 Lactate dehydrogenase, conversion of pyru- vate to lactic acid, 45-46 Lactic acid bacteria, heterofermentative metabolism, MFA, 330-333 from pyruvate, 45-46 Lactose, utilization, 230-233 Large deviation theory basis, 514-517 in FCC determination, 519-520 for role of nutrient concentration in flux change, 527-529 Leloir pathway, in glycolysis, 39-40 Level flow, in nonequilibrium thermodynam- ics, 672 Lignocellulose, in ethanol production, 206 Linear force relation, in nonequilibrium ther- modynamics, 682-686 Linear programming, undetermined systems, 341-344 Linear rate equations, cellular reactions, 102-105 Link metabolite group CCC, 591-592 identification, 563-566 intermetabolite links, group FCCs, 607-609 Lipids biosynthesis, 62-64 polymerization, 66-71 Liver cells, rat, gluconeogenesis and glycoly- sis, 506-510 Lysine biosynthesis alternatives, 304-306 bypass pathway flux, 359-364 from glucose and ammonia, 300-303 group FCC in, 589-590 maximum yield restriction, 306-307 metabolic fluxes, 317-320 MFA description, 426-427 perturbations at Glc6P branch point, 429-436 perturbations at PEP-pyruvate branch point, 436-438 principal node identification, 428-429 role of oxaloacetate, 303 formation pathway, 415 M Macromolecules and assembly reactions, 22-23 polymerization, 66-71 turnover, 73 Malonate, effect on proton-motive force, 511 Malonic acid, as competitive inhibitor, 159 Mammals, pyruvate utilization, 390-394 Maps, metabolic, definition, 9-10 Mass balance, dynamic in cellular reactions, 93-94 derivation, 95-96, 99-102 biomass constituents, 98 substrates, 97-98 MATHCAD program, for matrix operations, 135 MATHEMATICA program, for matrix opera- tions, 135 MATLAB program, for matrix operations, 135 Matrices atom mapping, in isotope distribution mod- eling, 405-409 redundancy, reduced, in overdetermined systems, 334 SIMS for aromatic amino acid biosynthesis, 557-563 for independent pathway identification, 549 in kernel determination, 551-553 variance-covariance, calculation errors, 142-143 Matrix algebra, in kernel determination, 551-553 Matrix operations basic matrix operations, 132-134 matrix inverse, 134-135 matrix transpose, 134 variance-covariance, calculations errors, 142-143 Index 717 MCA, see Metabolic control analysis Medermycin, production, 237 Media, design for cell culture, application of MFA, 457-458 Medicine, chiral, production via metabolic en- gineering, 13 Metabolic control analysis in analysis of flux control, 7-8 application of thermokinetics, 686-688 basic assumptions, 464-465 bioreactor control equivalents, 8 branched pathways applications, 499-506 gluconeogenesis, 506- 510 glycolysis, 506-510 oxidative phosphorylation, 510-513 coefficients, 513-514 connectivity theorems, 470-473 control coefficients, 465-469 definition, 545 elasticity coefficients, 470-473 extension of Delgado-Liao approach, 689-690 group control equivalents, 8 intermetabolite reaction groups overlapping groups in multiple branch points, 605-607 perturbation constant, 604-605 linear pathways, 492-499 penicillin biosynthesis, 690-692 role of biochemistry, 8-9 role of genetics, 8-9 summation theorems, 465-469 theory generalization, 473-475 Metabolic engineering in analysis of cellular metabolism, 11 pathways, 10-11 definition, 2 in flux control analysis, 7-8 pentose metabolism for ethanol production, 224 petroleum-derived thermoplastic produc- tion, 12 reverse, in pathway characterization, 2 role in biocatalyst production, 12-13 chemical engineering, 10 in chiral medicine production, 13 flux and pathways, 5-7 in tissue and organ metabolism in vivo, 14 Metabolic factors, in biosynthetic reactions, 23-24 Metabolic flux acetate utilization in Escherichia coli, 394-396 bypass pathway, in lysine biosynthesis, 359-364 consistency test, 616-618 application to prephenate branch point, 623-625 development, 618-623 control coefficients determination, 475-478 nonlinear function derivatives, 476 definition, 3-4 error measurement effects, 625-626 experimental validation, 616-618 group control coefficients from, 585-586 and isotopic steady state experiments, 357-359 optimization algorithm, 610-613 application to Saccharomyces cerevisiae, 613-616 phosphofructokinase, amplification, 609-610 pyruvate utilization in mammal, 390-394 relationship to material structure characteri- zation, 15 role in cell physiology, 4-5 in metabolic engineering, 5-7 nutrient concentration, 527-529 from transient intensity measurements, 356-357 Metabolic flux analysis alternative biochemical pathways, 311-312 application to cell culture media design, 457-458 branch point control, 311 citric acid fermentation, 320-325 Corynebacterium glutamicum deletion mu- tants, 439-441 transhydrogenase discovery, 442-445 718 Index definition, 10 dilution effect of pathway metabolites, 314-316 Escherichia coli metabolism, 344-347 extracellular fluxes, 312 heterofermentative metabolism of lactic acid bacteria, 330-333 linearly dependent reaction stoichiometries, 326-330 lysine biosynthesis, 317-320 description, 426-427 perturbations at Glc6P branch point, 429-436 perturbations at PEP-pyruvate branch point, 436-438 principal node identification, 428-429 mammalian cell cultures description, 445-446 intracellular fluxes, 446-452 isotope labeling studies, 452-457 maximum theoretical yields, 312 with NMR, 16 overdetermined systems, 333-340 and sensitivity analysis, 347-350 theory, 313 undetermined systems, 341-344 Metabolic flux control analysis via metabolic engineering, 7-8 over respiration, 512-513 at single branch point, 539-545 structure of pathways, 11 Metabolic maps, definition, 9-10 Metabolic models equations, 85-86 Penicillium chrysogenum, 106 Metabolic networks analysis with metabolic engineering, 10-11 antibiotic production, 235-237 aromatic amino acid biosynthesis, 555-557, 557-563 biopolymer production, 243-244 biotin production, 242-243 branched branch points, 522-525 CCC and concentration changes, 526-527 flux change prediction, 525-526 branch point location ATP, 566-573 chorismate, 576-577 fructose- 1,6-diphosphate, 574-576 glucose-6-phosphate, 573-574 glyceraldehyde-3-phosphate, 574-576 link metabolites and group flux, 563-566 prephenate, 578-580 xylulose-5-phosphate, 576-577 complex, definition, 536 control coefficients, 582-585 copolymer production, 248-249 ethanol production as biofuel, 205 from Escherichia coli, 210-211 by fermentative metabolism, 208-209 from pdc and adh genes, 211-212 production, 206-208 from pyruvatedecarboxylase, 209 from Saccharomyces cerevisiae, 208 flux control structure, 11 fructan production, 249-250 group CCC, 591-592 group control coefficients, 582-585 ATP branch point, 593-596 FDP/GAP branch point, 598 from flux measurement, 585-586 glucose-6-phosphate branch point, 597-598 PPH branch point, 600-601 X5P + CHR branch point, 599-600 group FCC, 547-554 from characterized perturbations, 590-591 experimental determination, 601-604 from three perturbations, 586-590 independent pathway identification, 547-554 indigo production, 250-252 kernel determination via matrix algebra, 551-553 manipulation for amino acid production alanine, 215 commercial use, 212- 214 isoleucine, 219-220 threonine, 215-219 tryptophan, 214-215 Index 7 1 9 in microorganisms, 1-2 for solvent production industrial fermenation, 220-222 1,3-propanediol, 222-223 nutrient concentration and flux change, 527-529 perturbation observability, 592 plant poly(hydroxyalkanoate)s, 248-249 poly~hydroxyalkanoate)s production, 244-247 regulation branch point classification, 193-196 in eukaryotes, 190-192 pathways, 188-193 in prokaryotes, 190-192 role in metabolic engineering, 5-7 role of global currency metabolites, 196-199 SIMS matrix analysis, 549 substrate range extension cellulose-hemicellulose depolymeriza- tion, 229-230 with ethanol, 227-228 with lactose and whey, 230-233 pentose for ethanol production, 224 yeast, 225-227 starch-degrading microorganisms, 233-235 with sucrose, 233 unbranched basis for large deviation theory, 514-517 FCC estimation, 517-519 FCC from large deviations, 519-520 flux change from enzyme change, 521-522 prediction, 520-521 flux through, 514 vitamin A production, 243 vitamin C production, 241-242 xanthan gum production, 250 xenobiotic degradation, 266 yield and productivity, 205 Metabolic pathway synthesis algorithm, 288-295 alanine synthesis, 299-300 analysis, 307-308 lysine biosynthesis, 300-303 alternatives, 304-306 maximum yield restriction, 306-307 role of oxaloacetate, 303 overview, 295-297 serine synthesis, 297-298 definition, 285-287 Metabolic products in black box model, 119-120 in cellular reactions, 82-83 Metabolism acetyl-CoA, label distribution, 364-367 endogenous, in cellular reactions, 103-104 Escherichia coli, stoichiometry, 344-347 heterofermentative, lactic acid bacteria, 330-333 nitrogen, alteration, 257 overflow, prevention, 259-262 in reaction pathway analysis, 3 Metabolites in biochemical pathways, 295-297 carbon atoms, NMR analysis, 382-390 global currency, role in metabolic networks, 196-199 intermetabolite links, group FCCs, 607-609 intracellular, in cellular reactions, 83 isotopomers complete enumeration, 367-370 direct carbon balances, 397-405 TCA cycle, distribution from labeled acetate, 377-382 from labeled pyruvate, 371-377 link group CCC, 591-592 identification, 563-566 intermetabolite links, group FCCs, 607-609 pathway, dilution effect, 314-316 precursor, in biosynthetic reactions, 24 transient, measurement, in FCC, 488-491 Methylophilus methylotrophus, single-cell pro- tein production, 257 MFA, see Metabolic flux analysis Michaelis-Menten reaction, saturation kinet- ics, 32-34 Microorganisms, in metabolic pathway manip- ulation, 1-2, 233-235 Mitochondria inner membrane, 51-53 oxidative phosphorylation control, 510-513 Mixed acid, fermentation in Escherichia coli rates, 86-90 specific rates, 92-93 720 Index Mixtures benzene-toluene-p-xylene degradation with pWW0, 269-271 as pollutants, 267-268 simultaneous biodegradation, 271-273 glucose-ethanol, yeast growth, 413 Models aromatic amino acid biosynthesis, 554-557 black box cell biomass, 117-118 variables, 119-120 complex systems, with biochemical systems theory, 463-464 isotope distribution, with atom mapping matrix, 405-409 kinetic dynamic mass balance, 100 elasticity coefficient calculation, 487-488 enzyme, 152-153 for FCC, 491-492 Saccharomyces cerevisiae, 601-604 saturation, facilitated diffusion, 32-34 nonequilibrium thermodynamic black box, 681-682 simple black box model carbon balance, 120-121 description, 118 elemental balances, 123 generalized degree of reduction balance, 124-125 Mutants, deletion, Corynebacterium glutam- icum, MFA, 439-445 N NAD +, from NADH oxidation, 674 NADH inner mitochondrial membrane permeabil- ity, 51-53 oxidation to NAD +, 674 in pathway integration, 24 role in cellular metabolism, 44-45 NADPH in pathway integration, 24 role in cellular metabolism, 44-45 Neurospora crassa, in antibiotic production, 236 Nitrogen, metabolism, alteration, 257 NMR, see Nuclear magnetic resonance analy- sis Noncompetitive inhibition, characteristics, 161-163 Nonequilibrium thermodynamics cellular growth, 679-682 cellular systems, 663 definition, 664 dissipation function, 664-665 efficiency, 672-673 energy transduction, 663 flow-force relations, 668-669 force ratio, 671 goals, 686 hexokinase reaction in EMP pathway, 665 independent reactions, 666 level flow, 672 linear force relation, 682-686 Onsager's reciprocal relations, 667 operational stoichiometry, 671-672 oxidative phosphorylation, 674-679 phenomenological equations, 666-667 phenomenological stoichiometry, 671 proton-motive force, 675 reciprocity, 669-670 static head, 672 Nonlinear functions, derivatives, 476 2-Norerythromycin, production, 237 Nuclear magnetic resonance analysis metabolic data, 382-390 metabolic flux, 16 Nucleotides, biosynthesis, 62 Nutrients role in flux changes, 527-529 uptake, 262-263 0 Oligomycin, for elasticity coefficient determi- nation, 512 Onsager's reciprocal relations application to cellular growth, 680 in nonequilibrium thermodynamics, 667 Organic acids catabolism, 55-57 effect on ATP, 29-31 effect on cell growth, 260 Organs, whole, metabolism in viva, role of metabolic engineering, 14 Overdetermined systems analysis, 130-131 MFA, 333-340 Index 721 Oxaloacetate role in lysine biosynthesis, 303 in TCA cycle, 50, 53-55 Oxidation, pyruvate, 50-51 Oxidative phosphorylation control in mitochondria, 510-513 nonequilibrium thermodynamics, 674-679 and TCA cycle, 48-53 Oxygen passive diffusion, 28-29 utilization, 257-259 P Pachysolen tannophilus, 208 Passive transport compounds, 28-29 free diffusion, 28 Penicillin biosynthesis application of MCA with thermokinetics, 690-692 MCA, 494-499 production, 236, 412-413 Penicillium chrysogenum growth rate, 104-105 metabolic model, 106 penicillin production, 412-413 proton gradient, 29-31 Pentose for ethanol production metabolic engineering, 224 from yeast, 225-227 fermentation, microorganisms, 208 production, 256 Pentose phosphate pathway anaplerotic function, 42 in Aspergillus nidulans, 43 control points, 44 in glycolysis, 38 oxidative function, 42 reactions, 40-42 PEP, see Phosphoenolpyruvate PEP carboxylase, see Phosphoenolpyruvate carboxylase Permease, role in active transport, 34 Perturbation constant, in MCA of inter- metabolite reaction groups, 604-605 Perturbations characterized, group FCC from, 590-591 for group FCC, 592, 607-609 multiple, in consistency test development, 618-623 three, in group FCC determination, 586-590 Phenomenological equations, nonequilibrium thermodynamics, 666-667 Phenoxyacetic acid, uncoupling effect, 29-31 Phenylalanine, in aromatic amino acid biosyn- thesis, 557 Pho regulon, in Escherichiacoli, 187-188 Phospho enol pyruvate in aromatic amino acid biosynthesis, 556 in group translocation, 35-36 -pyruvate branch point, flux perturbations, 436-438 Phospho enolpyruvate carboxylase as anaplerotic reaction, 415 compensation, 441-442 Phosphofructokinase, flux amplification, 609-610 Phosphoglucomutase, in glycolysis, 39 6-Phosphogluconate in ED pathway, 42 in PP pathway, 40-42 6-Phosphogluconate dehydratase, in ED path- way, 42 3-Phosphoglycerate kinase, elasticity coeffi- cient, 509 Phosphoglycerate mutase, elasticity coeffi- cient, 509 Phosphohexoisomerase, in glycolysis, 39 Phosphorylation oxidative control in mitochondria, 510-513 nonequilibrium thermodynamics, 674-679 and TCA cycle, 48-53 in signal transduction, 183-188 Phosphotransferase glucose uptake, 83-84 in group translocation, 35-36 Pichia stipitis, 208 Pigments, biological, production, 250-252 Plasmids, pWW0, for pollutant degradation, 269-271 Pollutants, conversion to nonpollutants, 267-268 722 Index Polychlorinated biphenyls, metabolic engi- neering, 266-267 Poly(hydroxyalkanoate)s plant, production, 248-249 production, 244-247 Poly(3-hydroxybutyric acid), production, 245-247 Poly (3-hydroxybutyric-co-3-hydroxyvaleric acid), production, 247-248 Polyketides source, 237-238 systems forming, 240-241 Polymerization in cellular metabolism, 23 depolymerization, cellulose-hemicellulose, 229-230 macromolecules, 66-71 Polysaccharides, in aromatic amino acid biosynthesis, 556 PPC, see Phosphoenolpyruvate carboxylase PPH, as branch point in metabolic network model, 600-601 PP pathway, see Pentose phosphate pathway Prephenate in aromatic amino acid biosynthesis, 557 branch point application of group FCC consistency tests, 623-625 in metabolic network, 578-580 Prokaryotes, metabolic network regulation, 190-192 Promoters, bacterial, transcription initiation, 174-175 1,3-Propanediol, synthesis, 222-223 Proteins, polymerization, 66-71 Proton gradient, in Penicillium chrysogenum, 29-31 Proton-motive force mitochondrial, analysis, 511 in oxidative phosphorylation, 675 Pseudomonas putida, pWW0, for pollutant degradation, 269-271 Pyrococcus furiosus, in hydrogen production, 253-255 Pyruvate carboxylation, role in PPC compensation, 441-442 complete oxidation, 48-51 conversion to lactic acid, 45-46 in ED pathway, 42 in EMP pathway, 40 labeled, TCA cycle metabolite isotopomers from, distribution, 371-377 -PEP branch point, flux perturbations, 436-438 role in acetate accumulation, 260-261 utilization in mammal, 390-394 Pyruvate decarboxylase~' for ethanol produc- tion, 209 Pyruvate dehydrogenase complex, role in pyruvate oxidation, 48-51 R Rate equations, linear, cellular reactions, 102-105 Reaction groups, intermetabolite, control anal- ysis overlapping groups in multiple branch points, 605-607 perturbation constant, 604-605 Reaction rates in black box model, 119-120 mixed acid fermentation in Escherichia coli, specific rates, 92-93 Reactions analysis via metabolism and cell physiology, 3 assembly, in cellular metabolism, 22-23 biosynthetic, in cellular metabolism, 23-24, 57-58 cellular, see Cellular pathways chemical alcohol dehydrogenase-catalyzed, AG ~ 662 Gibbs free energy, algorithm, 641'645 group contributions, in Gibbs free energy determination, 649-654 thermodynamic feasibility, 639-641 coupled, role of global currency metabo- lites, 196-199 fueling in cellular metabolism, 24 purpose, 38 Index 7 2 3 glycolytic, free energy, 637-638 group FCC, 546-547 grouping, 545 independent pathway identification, 547-554 Michaelis-Menten, saturation kinetics, 32-34 polymerization, in cellular metabolism, 23 SIMS matrix analysis, 549 standard free energy, 636-637 Reciprocity, nonequilibrium thermodynamics, 669-670 Redundancy matrix, reduced, in overdeter- mined systems, 334 Relaxation time, in cellular metabolism, 25-27 Respiration flux control over, 512-513 in yeast, effect of benzoic acid, 29-31 Ribulose-5-phosphate, in PP pathway, 40-42 RNA antisense, function, 265 polymerization, 66-71 RNA polymerase, transcriptional control, 173-177 S Saccharomyces cerevisiae anaerobic growth, 413 aromatic amino acid biosynthesis, model, 554-557 cultivation, error diagnosis in measurement, 144-146 data consistency, 125-126 energetics, 110-114 ethanol production, 208 flux optimization, 613-616 glucose conversion to ethanol, 47-48 facilitated diffusion, 31-32 growth on glucose-ethanol mixtures, 413 heat generation, 127-129 kinetic model, 601-604 prephenate branch point, application of group FCC consistency tests, 623-625 respiration, effect of benzoic acid, 29-31 simple black box model, 118 starch degradation, 234-235 sugar phosphorylation, 39 Saccharopolyspora erythrea, erythromycin pro- duction, 238-241 Schwanniomyces occidentalis, starch degrada- tion, 234-235 Second Law of Thermodynamics, definition, 631 Sensitivity analysis, and MFA, 347-350 Serine, metabolic pathway synthesis algo- rithm, 297-298 Signal transduction, by phosphorylation, 183-188 Simple black box model carbon balance, 120-121 description, 118 elemental balances, 123 generalized degree of reduction balance, 124-125 metabolic equations, 85-86 Penicillium chrysogenum, 106 SIMS matrix for aromatic amino acid biosynthesis, 557-563 for independent pathway identification, 549 in kernel determination, 551-553 Single-cell protein, production, 257 Solvents, industrial fermentation, 220-222 Standard free energy glucose oxidation, 680 hexokinase reaction in EMP pathway, 665 nomenclature, 635 oxidative phosphorylation, 674 reaction, 636-637 Standard state, conventions, 635 Starch, microorganisms degrading, 233-235 Static head, in nonequilibrium thermodynam- ics, 672 Stoichiometry cellular reactions biomass constituents, 83 intracellular metabolites, 83 metabolic product, 82-83 substrate, 82 in Escherichia coli metabolism, 344-347 operational, in nonequilibrium thermody- namics, 671-672 phenomenological, in nonequilibrium ther- modynamics, 671 reaction, linearly dependent, MFA, 326-330 724 Index Storage carbohydrate, synthesis, role of UDP- glucose, 64-65 Streptomyces coelicitor, in antibiotic produc- tion, 236-237 Streptomyces erythreus, in antibiotic produc- tion, 236 Streptomyces lividans, in antibiotic production, 236 Streptomycin, production, 236 Substrate inhibition competitive inhibition, 159-161 noncompetitive inhibition, 161-163 rapid equilibrium, 155-156 as simple reversible inhibition system, 153, 157-159 steady-state approach, 156-157 uncompetitive inhibition, 163 Substrates in cellular reactions, 82 in dynamic mass balance, 97-98 Sucrose, utilization, 233 Summation theory, in MCA, 465-469 T TCA cycle anaplerotic pathways, 53-55 in bacteria, 396-397 metabolite isotopomers, distribution from labeled acetate, 377-382 from labeled pyruvate, 371-377 NADH and FADH 2 formation, 107 and oxidative phosphorylation, 48-53 regulatory sites, 50 Tetrahydrodipicolinate, transformation, 360-361 Thermodynamic feasibility algorithm, 641-645 chemical reaction, 639-641 EMP pathway, 645-649 Gibbs free energy from group contributions, 649-654 transport process, 639-641 Thermodynamics first law, 631 nonequilibrium, see Nonequilibrium ther- modynamics second law, 631 Thermokinetics application to MCA, 686-688 extension of Delgado-Liao approach,689-690 in MCA of penicillin biosynthesis, 690-692 Thermoplasma acidophilum, in hydrogen pro- duction, 253-255 Thermoplastics, petroleum-derived, metaboli- cally engineered, 12 Threonine, synthesis in Corynebacterium glu- tamicum, 215-219 Tissues, metabolism in vivo, role of metabolic engineering, 14 Titration with purified enzyme, in FCC, 481-482 with specific inhibitors, in FCC, 482-483 Toluene-benzene-p-xylene mixture degradation with pWW0, 269-271 as pollutant, 267-268 simultaneous biodegradation, 271-273 Top-down approach experimental determination of group FCC, 601-604 group control coefficients from flux mea- surement, 585-586 requirements, 545 Transcription, control bacterial promoters, 173-175 Lac operon, 175-177 Transhydrogenase, discovery, 442-445 Translation, enzymes, control, 178-180 Translocation, group, in active transport, 35-36 Transport active ATP consumption, 36-37 group translocation, 35-36 role of permeases, 34 via ATPase, 34-35 electron, NADH to oxygen, 51-53 glucose, 415 mechanisms, 27-28 passive compounds, 28-29 free diffusion, 28 thermodynamic feasibility, 639-641 Index 7 2 5 Tryptophan release in Saccharomyces cerevisiae flux, 613-616 synthesis in Escherichia coli, 214-215 Tyrosine, in aromatic amino acid biosynthesis, 557 U UDP-glucose, in storage carbohydrate synthe- sis, 64-65 Uncompetitive inhibition, characteristics, 163 Undetermined systems, linear programming, 341-344 V Variance-covariance matrix, calculation er- rors, 142-143 Velocity, simplified, for allosteric enzymes, 172-173 Vitamin A, production, 243 Vitamin C, production, 241-242 Vitreoscilla, hemoglobin gene cloning, 258-259 W Whey, utilization, 230-233 Whole cells, global control definition, 180-183 signal transduction by phosphorylation, 183-188 X X5P, see Xylulose-5-phosphate Xanthan gum, production, 250 p-Xylene-benzene-toluene mixture degradation with pWWO, 269-271 as pollutant, 267-268 simultaneous biodegradation, 271-273 Xylitol, production, 256 Xylose, for ethanol production, 227-228 Xylulose-5-phosphate in aromatic amino acid biosynthesis, 556 as branch point in metabolic network model, 576-577, 599-600 Y Yeast cultivation aerobic, without ethanol formation, 136-140, 143 anaerobic, data consistency, 125-126 error diagnosis in measurement, 144-146 for ethanol production, 225-227 heat generation, 127-129 xylitol production, 256 Yield coefficients in black box model, 119-120 calculation, 122 cellular reactions, 102-105 Z Zymomonas mobilis alanine synthesis, 215 for ethanol production, 227-228
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