Testing Biochemistry Revisited: How In Vivo Metabolism Can Be Understood from In Vitro Enzyme Kinetics

A decade ago, a team of biochemists including two of us, modeled yeast glycolysis and showed that one of the most studied biochemical pathways could not be quite understood in terms of the kinetic properties of the constituent enzymes as measured in cell extract. Moreover, when the same model was later applied to different experimental steady-state conditions, it often exhibited unrestrained metabolite accumulation. Here we resolve this issue by showing that the results of such ab initio modeling are improved substantially by (i) including appropriate allosteric regulation and (ii) measuring the enzyme kinetic parameters under conditions that resemble the intracellular environment. The following modifications proved crucial: (i) implementation of allosteric regulation of hexokinase and pyruvate kinase, (ii) implementation of Vmax values measured under conditions that resembled the yeast cytosol, and (iii) redetermination of the kinetic parameters of glyceraldehyde-3-phosphate dehydrogenase under physiological conditions. Model predictions and experiments were compared under five different conditions of yeast growth and starvation. When either the original model was used (which lacked important allosteric regulation), or the enzyme parameters were measured under conditions that were, as usual, optimal for high enzyme activity, fructose 1,6-bisphosphate and some other glycolytic intermediates tended to accumulate to unrealistically high concentrations. Combining all adjustments yielded an accurate correspondence between model and experiments for all five steady-state and dynamic conditions. This enhances our understanding of in vivo metabolism in terms of in vitro biochemistry.

[1]  Barbara M. Bakker,et al.  Time‐dependent regulation analysis dissects shifts between metabolic and gene‐expression regulation during nitrogen starvation in baker’s yeast , 2009, The FEBS journal.

[2]  M. Reuss,et al.  In vivo analysis of metabolic dynamics in Saccharomyces cerevisiae : I. Experimental observations. , 1997, Biotechnology and bioengineering.

[3]  J. Heijnen,et al.  Simultaneous quantification of free nucleotides in complex biological samples using ion pair reversed phase liquid chromatography isotope dilution tandem mass spectrometry. , 2009, Analytical biochemistry.

[4]  J. Heijnen,et al.  Determination of elasticities, concentration and flux control coefficients from transient metabolite data using linlog kinetics. , 2005, Metabolic engineering.

[5]  J M Thevelein,et al.  Studies on the mechanism of the glucose-induced cAMP signal in glycolysis and glucose repression mutants of the yeast Saccharomyces cerevisiae. , 1988, European journal of biochemistry.

[6]  Barbara M. Bakker,et al.  Yeast glycolytic oscillations that are not controlled by a single oscillophore: a new definition of oscillophore strength. , 2005, Journal of theoretical biology.

[7]  J. Liao,et al.  Experimental determination of flux control distribution in biochemical systems: In vitro model to analyze transient metabolite concentrations , 1993, Biotechnology and bioengineering.

[8]  J. Bailey,et al.  Fermentation pathway kinetics and metabolic flux control in suspended and immobilized Saccharomyces cerevisiae , 1990 .

[9]  Hans V Westerhoff,et al.  Towards building the silicon cell: a modular approach. , 2006, Bio Systems.

[10]  F. Hynne,et al.  Full-scale model of glycolysis in Saccharomyces cerevisiae. , 2001, Biophysical chemistry.

[11]  Joseph J. Heijnen,et al.  A method for estimation of elasticities in metabolic networks using steady state and dynamic metabolomics data and linlog kinetics , 2006, BMC Bioinformatics.

[12]  J. Heijnen,et al.  Dynamic simulation and metabolic re-design of a branched pathway using linlog kinetics. , 2003, Metabolic engineering.

[13]  H. Westerhoff,et al.  Thermodynamics and Control of Biological Free-Energy Transduction , 1987 .

[14]  W. A. Scheffers,et al.  Effect of benzoic acid on metabolic fluxes in yeasts: A continuous‐culture study on the regulation of respiration and alcoholic fermentation , 1992, Yeast.

[15]  Daniel A Beard,et al.  Multiple ion binding equilibria, reaction kinetics, and thermodynamics in dynamic models of biochemical pathways. , 2009, Methods in enzymology.

[16]  H. Westerhoff,et al.  The danger of metabolic pathways with turbo design. , 1998, Trends in biochemical sciences.

[17]  Carlos Gancedo,et al.  Trehalose‐6‐phosphate, a new regulator of yeast glycolysis that inhibits hexokinases , 1993, FEBS letters.

[18]  Mark M. Meerschaert,et al.  Mathematical Modeling , 2014, Encyclopedia of Social Network Analysis and Mining.

[19]  Barbara M. Bakker,et al.  Can yeast glycolysis be understood in terms of in vitro kinetics of the constituent enzymes? Testing biochemistry. , 2000, European journal of biochemistry.

[20]  Jean-Charles Portais,et al.  Control of ATP homeostasis during the respiro-fermentative transition in yeast , 2010, Molecular systems biology.

[21]  Barbara M. Bakker,et al.  Measuring enzyme activities under standardized in vivo‐like conditions for systems biology , 2010, The FEBS journal.

[22]  Barbara M. Bakker,et al.  Hierarchical and metabolic regulation of glucose influx in starved Saccharomyces cerevisiae. , 2005, FEMS yeast research.

[23]  M. Walsh,et al.  Affinity of glucose transport in Saccharomyces cerevisiae is modulated during growth on glucose , 1994, Journal of bacteriology.

[24]  J. Heijnen Approximative kinetic formats used in metabolic network modeling , 2005, Biotechnology and bioengineering.

[25]  J. Heijnen,et al.  Determination of the cytosolic free NAD/NADH ratio in Saccharomyces cerevisiae under steady‐state and highly dynamic conditions , 2008, Biotechnology and bioengineering.

[26]  J. Heijnen,et al.  Quantitative physiological study of the fast dynamics in the intracellular pH of Saccharomyces cerevisiae in response to glucose and ethanol pulses. , 2008, Metabolic engineering.

[27]  James E. Bailey,et al.  Ethanol Production in Baker's Yeast: Application of Experimental Perturbation Techniques for Model Development and Resultant Changes in Flux Control Analysis , 1994 .

[28]  J. Selbig,et al.  Kinetic hybrid models composed of mechanistic and simplified enzymatic rate laws – a promising method for speeding up the kinetic modelling of complex metabolic networks , 2009, The FEBS journal.

[29]  B Hess,et al.  Mechanism of glycolytic oscillation in yeast. I. Aerobic and anaerobic growth conditions for obtaining glycolytic oscillation. , 1968, Hoppe-Seyler's Zeitschrift fur physiologische Chemie.

[30]  C. Giersch,et al.  The response of oscillating glycolysis to perturbations in the NADH/NAD system: a comparison between experiments and a computer model. , 1975, Bio Systems.

[31]  K. van Dam,et al.  A method for the determination of changes of glycolytic metabolites in yeast on a subsecond time scale using extraction at neutral pH. , 1992, Analytical biochemistry.

[32]  Matthias Reuss,et al.  Optimal re-design of primary metabolism in Escherichia coli using linlog kinetics. , 2004, Metabolic engineering.

[33]  J. Heijnen,et al.  In vivo kinetics of primary metabolism in Saccharomyces cerevisiae studied through prolonged chemostat cultivation. , 2006, Metabolic engineering.

[34]  M. Reuss,et al.  In vivo analysis of metabolic dynamics in Saccharomyces cerevisiae: II. Mathematical model. , 1997, Biotechnology and bioengineering.

[35]  Antje Chang,et al.  BRENDA, enzyme data and metabolic information , 2002, Nucleic Acids Res..

[36]  K. Vinnakota,et al.  Computer Modeling of Mitochondrial Tricarboxylic Acid Cycle, Oxidative Phosphorylation, Metabolite Transport, and Electrophysiology* , 2007, Journal of Biological Chemistry.

[37]  H V Westerhoff,et al.  Sustained oscillations in free‐energy state and hexose phosphates in yeast , 1996, Yeast.

[38]  B Hess,et al.  Allosteric properties of yeast pyruvate decarboxylase , 1970, FEBS letters.

[39]  H V Westerhoff,et al.  Time-dependent regulation of yeast glycolysis upon nitrogen starvation depends on cell history. , 2010, IET systems biology.

[40]  J. Pronk,et al.  Effect of Specific Growth Rate on Fermentative Capacity of Baker’s Yeast , 1998, Applied and Environmental Microbiology.

[41]  A. Boiteux,et al.  Circuit analysis of the oscillatory state in glycolysis. , 1989, Bio Systems.

[42]  B. Chance,et al.  PHASE RELATIONSHIP OF GLYCOLYTIC INTERMEDIATES IN YEAST CELLS WITH OSCILLATORY METABOLIC CONTROL. , 1965, Archives of biochemistry and biophysics.

[43]  Sonia Cortassa,et al.  Metabolic control analysis of glycolysis and branching to ethanol production in chemostat cultures of Saccharomyces cerevisiae under carbon, nitrogen, or phosphate limitations , 1994 .

[44]  A. Goldbeter,et al.  Control of oscillating glycolysis of yeast by stochastic, periodic, and steady source of substrate: a model and experimental study. , 1975, Proceedings of the National Academy of Sciences of the United States of America.

[45]  J. Heijnen,et al.  Short-Term Metabolome Dynamics and Carbon, Electron, and ATP Balances in Chemostat-Grown Saccharomyces cerevisiae CEN.PK 113-7D following a Glucose Pulse , 2006, Applied and Environmental Microbiology.

[46]  J. Heijnen,et al.  Analysis of in vivo kinetics of glycolysis in aerobic Saccharomyces cerevisiae by application of glucose and ethanol pulses , 2004, Biotechnology and bioengineering.