Constructing kinetic models of metabolism at genome‐scales: A review

Constraint‐based modeling of biological networks (metabolism, transcription and signal transduction), although used successfully in many applications, suffer from specific limitations such as the lack of representation of metabolite concentrations and enzymatic regulation, which are necessary for a complete physiologically relevant model. Kinetic models conversely overcome these shortcomings and enable dynamic analysis of biological systems for enhanced in silico hypothesis generation. Nonetheless, kinetic models also have limitations for modeling at genome‐scales chiefly due to: (i) model non‐linearity; (ii) computational tractability; (iii) parameter identifiability; (iv) estimability; and (v) uncertainty. In order to support further development of kinetic models as viable alternatives to constraint‐based models, this review presents a brief description of the existing obstacles towards building genome‐scale kinetic models. Specific kinetic modeling frameworks capable of overcoming these obstacles are covered in this review. The tractability and physiological feasibility of these models are discussed with the objective of using available in vivo experimental observations to define the model parameter space. Among the different methods discussed, Monte Carlo kinetic models of metabolism stand out as potentially tractable methods to model genome scale networks while also addressing in vivo parameter uncertainty.

[1]  Jörg Stelling,et al.  Systems analysis of cellular networks under uncertainty , 2009, FEBS letters.

[2]  Costas D. Maranas,et al.  k-OptForce: Integrating Kinetics with Flux Balance Analysis for Strain Design , 2014, PLoS Comput. Biol..

[3]  Eugénio C. Ferreira,et al.  Hybrid dynamic modeling of Escherichia coli central metabolic network combining Michaelis-Menten and approximate kinetic equations , 2010, Biosyst..

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

[5]  D. Broomhead,et al.  Something from nothing − bridging the gap between constraint‐based and kinetic modelling , 2007, The FEBS journal.

[6]  E. Gilles,et al.  Thermodynamically feasible kinetic models of reaction networks. , 2007, Biophysical journal.

[7]  C. Chassagnole,et al.  Dynamic modeling of the central carbon metabolism of Escherichia coli. , 2002, Biotechnology and bioengineering.

[8]  Antonios Armaou,et al.  A Computational Procedure for Optimal Engineering Interventions Using Kinetic Models of Metabolism , 2006, Biotechnology progress.

[9]  M M Domach,et al.  Computer model for glucose‐limited growth of a single cell of Escherichia coli B/r‐A , 1984, Biotechnology and bioengineering.

[10]  Adam M. Feist,et al.  A genome-scale metabolic reconstruction for Escherichia coli K-12 MG1655 that accounts for 1260 ORFs and thermodynamic information , 2007, Molecular systems biology.

[11]  James C. Liao,et al.  Ensemble modeling and related mathematical modeling of metabolic networks , 2009 .

[12]  U. Sauer,et al.  Advancing metabolic models with kinetic information. , 2014, Current opinion in biotechnology.

[13]  D. Vlachos A Review of Multiscale Analysis: Examples from Systems Biology, Materials Engineering, and Other Fluid–Surface Interacting Systems , 2005 .

[14]  Miguel Rocha,et al.  Modeling formalisms in Systems Biology , 2011, AMB Express.

[15]  Thilo Gross,et al.  Structural kinetic modeling of metabolic networks , 2006, Proceedings of the National Academy of Sciences.

[16]  Keng C. Soh,et al.  Towards kinetic modeling of genome-scale metabolic networks without sacrificing stoichiometric, thermodynamic and physiological constraints. , 2013, Biotechnology journal.

[17]  U. Alon Network motifs: theory and experimental approaches , 2007, Nature Reviews Genetics.

[18]  I. H. Segel Enzyme Kinetics: Behavior and Analysis of Rapid Equilibrium and Steady-State Enzyme Systems , 1975 .

[19]  M. Savageau Biochemical systems analysis. II. The steady-state solutions for an n-pool system using a power-law approximation. , 1969, Journal of theoretical biology.

[20]  J. Stelling,et al.  Robustness of Cellular Functions , 2004, Cell.

[21]  U. Sauer,et al.  Coordination of microbial metabolism , 2014, Nature Reviews Microbiology.

[22]  R. Steuer Computational approaches to the topology, stability and dynamics of metabolic networks. , 2007, Phytochemistry.

[23]  Marija Cvijovic,et al.  Kinetic models in industrial biotechnology - Improving cell factory performance. , 2014, Metabolic engineering.

[24]  U. Sauer,et al.  Article number: 62 REVIEW Metabolic networks in motion: 13 C-based flux analysis , 2022 .

[25]  Isabel Rocha,et al.  Exploring the gap between dynamic and constraint-based models of metabolism. , 2012, Metabolic engineering.

[26]  Zachary A. King,et al.  Constraint-based models predict metabolic and associated cellular functions , 2014, Nature Reviews Genetics.

[27]  Yun Chen,et al.  Advances in metabolic pathway and strain engineering paving the way for sustainable production of chemical building blocks. , 2013, Current opinion in biotechnology.

[28]  Dionisios G. Vlachos,et al.  Multiscale modeling for emergent behavior, complexity, and combinatorial explosion , 2012 .

[29]  E. Klipp,et al.  Bringing metabolic networks to life: convenience rate law and thermodynamic constraints , 2006, Theoretical Biology and Medical Modelling.

[30]  Jens Nielsen,et al.  Systems biology of yeast: enabling technology for development of cell factories for production of advanced biofuels. , 2012, Current opinion in biotechnology.

[31]  M. Savageau Biochemical systems analysis. II. The steady-state solutions for an n-pool system using a power-law approximation. , 1969, Journal of theoretical biology.

[32]  Judith B. Zaugg,et al.  Bacterial adaptation through distributed sensing of metabolic fluxes , 2010, Molecular systems biology.

[33]  Bernhard O. Palsson,et al.  Systems Biology: Simulation of Dynamic Network States , 2011 .

[34]  Neema Jamshidi,et al.  Mass action stoichiometric simulation models: incorporating kinetics and regulation into stoichiometric models. , 2010, Biophysical journal.

[35]  Edda Klipp,et al.  New types of experimental data shape the use of enzyme kinetics for dynamic network modeling ” , 2016 .

[36]  B. Palsson,et al.  Towards genome-scale signalling-network reconstructions , 2010, Nature Reviews Genetics.

[37]  Kiran Raosaheb Patil,et al.  Contribution of Network Connectivity in Determining the Relationship between Gene Expression and Metabolite Concentration Changes , 2014, PLoS Comput. Biol..

[38]  R. Steuer,et al.  The stability and robustness of metabolic states: identifying stabilizing sites in metabolic networks , 2007, Molecular systems biology.

[39]  Ursula Klingmüller,et al.  Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihood , 2009, Bioinform..

[40]  Mattias Goksör,et al.  Sustained glycolytic oscillations in individual isolated yeast cells , 2012, The FEBS journal.

[41]  Sang Yup Lee,et al.  Recent advances in reconstruction and applications of genome-scale metabolic models. , 2012, Current opinion in biotechnology.

[42]  V. Hatzimanikatis,et al.  Thermodynamics-based metabolic flux analysis. , 2007, Biophysical journal.

[43]  Tobias Maier,et al.  Large-scale metabolome analysis and quantitative integration with genomics and proteomics data in Mycoplasma pneumoniae. , 2013, Molecular bioSystems.

[44]  Christopher P. Long,et al.  Metabolic flux analysis of Escherichia coli knockouts: lessons from the Keio collection and future outlook. , 2014, Current opinion in biotechnology.

[45]  B. Palsson,et al.  Formulating genome-scale kinetic models in the post-genome era , 2008, Molecular systems biology.

[46]  I. Birol,et al.  Metabolic control analysis under uncertainty: framework development and case studies. , 2004, Biophysical journal.

[47]  O. Demin,et al.  Kinetic modelling of central carbon metabolism in Escherichia coli , 2012, The FEBS journal.

[48]  Jeffrey D Orth,et al.  What is flux balance analysis? , 2010, Nature Biotechnology.

[49]  J. Liao,et al.  Ensemble modeling of metabolic networks. , 2008, Biophysical journal.

[50]  C. Yang,et al.  Metabolic flux responses to genetic modification for shikimic acid production by Bacillus subtilis strains , 2014, Microbial Cell Factories.

[51]  Ali R. Zomorrodi,et al.  Optimization-driven identification of genetic perturbations accelerates the convergence of model parameters in ensemble modeling of metabolic networks. , 2013, Biotechnology journal.

[52]  H. Westerhoff,et al.  A probabilistic approach to identify putative drug targets in biochemical networks , 2011, Journal of The Royal Society Interface.

[53]  V. Hatzimanikatis,et al.  Modeling of uncertainties in biochemical reactions , 2011, Biotechnology and bioengineering.

[54]  Adam M. Feist,et al.  Basic and applied uses of genome-scale metabolic network reconstructions of Escherichia coli , 2013, Molecular systems biology.

[55]  D. Fell Metabolic control analysis: a survey of its theoretical and experimental development. , 1992, The Biochemical journal.

[56]  B. Palsson,et al.  Constraining the metabolic genotype–phenotype relationship using a phylogeny of in silico methods , 2012, Nature Reviews Microbiology.

[57]  H. Kitano Towards a theory of biological robustness , 2007, Molecular systems biology.

[58]  B. Palsson,et al.  Stoichiometric flux balance models quantitatively predict growth and metabolic by-product secretion in wild-type Escherichia coli W3110 , 1994, Applied and environmental microbiology.

[59]  Bernhard O. Palsson,et al.  Top-Down Analysis of Temporal Hierarchy in Biochemical Reaction Networks , 2008, PLoS Comput. Biol..

[60]  Edda Klipp,et al.  Modelling reveals novel roles of two parallel signalling pathways and homeostatic feedbacks in yeast , 2012, Molecular systems biology.

[61]  Eugénio C. Ferreira,et al.  Random sampling of elementary flux modes in large-scale metabolic networks , 2012, Bioinform..

[62]  Melanie I. Stefan,et al.  BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models , 2010, BMC Systems Biology.

[63]  Neil Swainston,et al.  Towards a genome-scale kinetic model of cellular metabolism , 2010, BMC Systems Biology.

[64]  Markus J. Herrgård,et al.  A consensus yeast metabolic network reconstruction obtained from a community approach to systems biology , 2008, Nature Biotechnology.

[65]  Bernhard O. Palsson,et al.  Optimizing genome-scale network reconstructions , 2014, Nature Biotechnology.

[66]  Jason A. Papin,et al.  Metabolic network reconstruction of Chlamydomonas offers insight into light-driven algal metabolism , 2011, Molecular systems biology.

[67]  Bas Teusink,et al.  Metabolic shifts: a fitness perspective for microbial cell factories , 2012, Biotechnology Letters.

[68]  Christoph Wittmann,et al.  Systems and synthetic metabolic engineering for amino acid production - the heartbeat of industrial strain development. , 2012, Current opinion in biotechnology.

[69]  P. Mendes,et al.  Systematic Construction of Kinetic Models from Genome-Scale Metabolic Networks , 2013, PloS one.

[70]  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.

[71]  Edda Klipp,et al.  Modular rate laws for enzymatic reactions: thermodynamics, elasticities and implementation , 2010, Bioinform..

[72]  Uri Alon,et al.  Evolutionary Tradeoffs between Economy and Effectiveness in Biological Homeostasis Systems , 2013, PLoS Comput. Biol..

[73]  J. Liao,et al.  Reducing the allowable kinetic space by constructing ensemble of dynamic models with the same steady-state flux. , 2011, Metabolic engineering.

[74]  Jens Timmer,et al.  Likelihood based observability analysis and confidence intervals for predictions of dynamic models , 2011, BMC Systems Biology.

[75]  Pamela K. Kreeger,et al.  Cancer systems biology: a network modeling perspective , 2009, Carcinogenesis.

[76]  Rick L. Stevens,et al.  High-throughput generation, optimization and analysis of genome-scale metabolic models , 2010, Nature Biotechnology.

[77]  K. Mauch,et al.  Tendency modeling: a new approach to obtain simplified kinetic models of metabolism applied to Saccharomyces cerevisiae. , 2000, Metabolic engineering.

[78]  Tomer Shlomi,et al.  Prediction of Microbial Growth Rate versus Biomass Yield by a Metabolic Network with Kinetic Parameters , 2012, PLoS Comput. Biol..

[79]  Walter Kolch,et al.  When ubiquitination meets phosphorylation: a systems biology perspective of EGFR/MAPK signalling , 2013, Cell Communication and Signaling.

[80]  J. Keasling,et al.  Microbial engineering for the production of advanced biofuels , 2012, Nature.

[81]  B. Palsson,et al.  Metabolic dynamics in the human red cell. Part I--A comprehensive kinetic model. , 1989, Journal of theoretical biology.

[82]  Matthias Heinemann,et al.  Phenotypic bistability in Escherichia coli's central carbon metabolism , 2014, Molecular systems biology.

[83]  Fangfang Xia,et al.  Genome-scale bacterial transcriptional regulatory networks: reconstruction and integrated analysis with metabolic models , 2014, Briefings Bioinform..

[84]  Daniel Machado,et al.  Systematic Evaluation of Methods for Integration of Transcriptomic Data into Constraint-Based Models of Metabolism , 2014, PLoS Comput. Biol..

[85]  U. Sauer,et al.  Multidimensional Optimality of Microbial Metabolism , 2012, Science.

[86]  Jonathan R. Karr,et al.  A Whole-Cell Computational Model Predicts Phenotype from Genotype , 2012, Cell.

[87]  B O Palsson,et al.  Metabolic dynamics in the human red cell. Part III--Metabolic reaction rates. , 1990, Journal of theoretical biology.

[88]  Genome-Scale Models for Microbial Factories , 2013 .

[89]  B. Kholodenko,et al.  Negative feedback and ultrasensitivity can bring about oscillations in the mitogen-activated protein kinase cascades. , 2000, European journal of biochemistry.

[90]  Ralf Steuer,et al.  Exploring the Dynamics of Large-Scale Biochemical Networks: A Computational Perspective , 2011 .