期刊论文详细信息
BMC Systems Biology
Exploring metabolism flexibility in complex organisms through quantitative study of precursor sets for system outputs
Jérémie Bourdon2  Anne Siegel1  Jaap Van Milgen3  Sophie Lemosquet3  Oumarou Abdou-Arbi1 
[1] INRIA, Campus de Beaulieu, 35042 Rennes Cedex, France;LINA, UMR 6241, Université de Nantes, Nantes, France;Agrocampus Ouest, UMR1348 Pegase, F-35000 Rennes, France
关键词: Nutritional model;    Yield variability;    Flux distributions exploration;    Flux Balance Analysis;   
Others  :  1141550
DOI  :  10.1186/1752-0509-8-8
 received in 2013-04-16, accepted in 2013-10-01,  发布年份 2014
PDF
【 摘 要 】

Background

When studying metabolism at the organ level, a major challenge is to understand the matter exchanges between the input and output components of the system. For example, in nutrition, biochemical models have been developed to study the metabolism of the mammary gland in relation to the synthesis of milk components. These models were designed to account for the quantitative constraints observed on inputs and outputs of the system. In these models, a compatible flux distribution is first selected. Alternatively, an infinite family of compatible set of flux rates may have to be studied when the constraints raised by observations are insufficient to identify a single flux distribution. The precursors of output nutrients are traced back with analyses similar to the computation of yield rates. However, the computation of the quantitative contributions of precursors may lack precision, mainly because some precursors are involved in the composition of several nutrients and because some metabolites are cycled in loops.

Results

We formally modeled the quantitative allocation of input nutrients among the branches of the metabolic network (AIO). It corresponds to yield information which, if standardized across all the outputs of the system, allows a precise quantitative understanding of their precursors. By solving nonlinear optimization problems, we introduced a method to study the variability of AIO coefficients when parsing the space of flux distributions that are compatible with both model stoichiometry and experimental data. Applied to a model of the metabolism of the mammary gland, our method made it possible to distinguish the effects of different nutritional treatments, although it cannot be proved that the mammary gland optimizes a specific linear combination of flux variables, including those based on energy. Altogether, our study indicated that the mammary gland possesses considerable metabolic flexibility.

Conclusion

Our method enables to study the variability of a metabolic network with respect to efficiency (i.e. yield rates). It allows a quantitative comparison of the respective contributions of precursors to the production of a set of nutrients by a metabolic network, regardless of the choice of the flux distribution within the different branches of the network.

【 授权许可】

   
2014 Abdou-Arbi et al.; licensee BioMed Central Ltd.

【 预 览 】
附件列表
Files Size Format View
20150327075938810.pdf 2121KB PDF download
Figure 3. 33KB Image download
Figure 2. 35KB Image download
Figure 1. 76KB Image download
【 图 表 】

Figure 1.

Figure 2.

Figure 3.

【 参考文献 】
  • [1]Voss K, Heiner M, Koch I: Steady state analysis of metabolic pathways using Petri nets. In Silico Biol 2003, 3(3):367-387.
  • [2]Hardy S, Robillard PN: Modeling and simulation of molecular biology systems using petri nets: modeling goals of various approaches. J Bioinformatics Comput Biol 2004, 2(4):595-613.
  • [3]Lakshmanan M, Koh G, Chung BKS, Lee D-Y: Software applications for flux balance analysis. Brief Bioinformatics 2012. published online of Nov 2012
  • [4]Orth JD, Thiele I, Palsson BØ: What is flux balance analysis? Nat Biotechnol 2010, 28(3):245-248.
  • [5]Edwards JS, Palsson BØ: The Escherichia coli MG1655 in silico metabolic genotype: its definition, characteristics, and capabilities. Proc Natl Acad Sci USA 2000 97(10):5528-5533.
  • [6]Kauffman KJ, Prakash P, Edwards JS: Advances in flux balance analysis. Curr Opin Biotechnol 2003, 14(5):491-496.
  • [7]Schilling CH, Letscher D, Palsson BØ: Theory for the systemic definition of metabolic pathways and their use in interpreting metabolic function from a pathway-oriented perspective. J Theor Biol 2000, 203(3):229-248.
  • [8]Schilling CH, Schuster S, Palsson BO, Heinrich R: Metabolic pathway analysis: basic concepts and scientific applications in the post-genomic era. Biotechnol Prog 1999, 15(3):296-303.
  • [9]Beard DA, Liang S-D, Qian H: Energy balance for analysis of complex metabolic networks. Biophys J 2002, 83(1):79-86.
  • [10]Oh Y-G, Lee D-Y, Lee SY, Park S: Multiobjective flux balancing using the NISE method for metabolic network analysis. Biotechnol Prog 2009, 25(4):999-1008.
  • [11]Mahadevan R, Schilling CH: The effects of alternate optimal solutions in constraint-based genome-scale metabolic models. Metab Eng 2003, 5(4):264-276.
  • [12]Ghozlane A, Bringaud F, Soueidan H, Dutour I, Jourdan F, Thebault P: Flux Analysis of the Trypanosoma brucei glycolysis based on a multiobjective-criteria bIoinformatic approach. Adv Bioinformatics 2012, 2012:159423.
  • [13]Beurton-Aimar M, Beauvoit B, Monier A, Vallee F, Dieuaide-Noubhani M, Colombie S: Comparison between elementary flux modes analysis and 13C-metabolic fluxes measured in bacterial and plant cells. BMC Syst Biol 2001, 5:95.
  • [14]Hanigan MD, Crompton LA, Reynolds CK, Wray-Cahen D, Lomax MA, France J: An integrative model of amino acid metabolism in the liver of the lactating dairy cow. J Theor Biol 2004, 228(2):271-289.
  • [15]Van-Milgen J, Gondret F, Renaudeau D: The use of nutritional models as a tool in basis research. In Progress in Research on Energy and Protein Metabolism Edited by Edited by Souffrant WB MetgesCC. Rostock-Warnemünde:EAAP. 2003, 259-263.
  • [16]Acuña V, Marchetti-Spaccamela A, Sagot M-F, Stougie L: A note on the complexity of finding and enumerating elementary modes. Biosystems 2010, 99(3):210-214.
  • [17]Cant JP, McBride BW: Mathematical analysis of the relationship between blood flow and uptake of nutrients in the mammary glands of a lactating cow. J Dairy Res 1995, 62(3):405-422.
  • [18]Volpe V, Cant JP, Boston RC, Susmel P, Moate P: Development of a dynamic mathematical model for investigating mammary gland metabolism in lactating cows. J Agric Sci 2010, 148(01):31.
  • [19]Hanigan MD, Crompton LA, Bequette BJ, Mills JAN, France J: Modelling mammary metabolism in the dairy cow to predict milk constituent yield, with emphasis on amino acid metabolism and milk protein production: model evaluation. J Theor Biol 2002, 217(3):311-330.
  • [20]Hanigan MD, Crompton LA, Metcalf JA, France J: Modelling mammary metabolism in the dairy cow to predict milk constituent yield, with emphasis on amino acid metabolism and milk protein production: model construction. J Theor Biol 2001, 213(2):223-239.
  • [21]Hanigan MD: A mechanistic model of mammary gland metabolism in the lactating cow. + Agric Syst 1994, 45(4):369-419.
  • [22]Waghorn GC, Baldwin RL: Model of metabolite flux within mammary gland of the lactating cow. J Dairy Sci 1984, 67:531-544.
  • [23]Van-Milgen J: Modeling biochemical aspects of energy metabolism in mammals. J Nutr 2002, 132(10):3195-3202.
  • [24]Lemosquet S, Abdou-Arbi O, Siegel A, Guinard-Flament J, Van Milgen J, Bourdon J: A generic stoichiometric model to analyse the metabolic flexibility of the mammary gland in lactating dairy cows. In Modelling Nutrient Digestion and Utilization in Farm Animals. Edited by Edited by Faverdin P SauvantDVan Milgen J. Wageningen Academic Publishers; 2010.
  • [25]Papin JA, Stelling J, Price ND, Klamt S, Schuster S, Palsson BO: Comparison of network-based pathway analysis methods. Trends Biotechnol 2004, 22:400-405.
  • [26]Bequette BJ, Sunny NE, El-Kadi SW, Owens SL: Application of stable isotopes and mass isotopomer distribution analysis to the study of intermediary metabolism of nutrients. J Anim Sci 2006, 84(Suppl):E50-E59.
  • [27]Bickerstaffe R, Annison EF, Linzell JL: The metabolism of glucose, acetate, lipids and amino acids in lactating dairy cows. J Agric Sci 1974, 82(01):71-85.
  • [28]Lemosquet S, Raggio G, Lobley G, Rulquin H, Guinard-Flament J, Lapierre H: Whole-body glucose metabolism and mammary energetic nutrient metabolism in lactating dairy cows receiving digestive infusions of casein and propionic acid. J Dairy Sci 2009, 92(12):6068-6082.
  • [29]Raggio G, Lemosquet S, Lobley G, Rulquin H, Lapierre H: Effect of casein and propionate supply on mammary protein metabolism in lactating dairy cows. J Dairy Sci 2006, 89:4340-4351.
  • [30]Swaisgood HE: Handbook of Milk Composition, volume 1. San Diego: Academic Press; 1995.
  • [31]Hanigan M, France J, Mabjeesh S, Mcnabb WC, Bequette B: High rates of mammary tissue protein turnover in lactating goats are energetically costly. J Nutrit 2009, 139:1118-1127.
  • [32]Pfeiffer T, Sanchez-Valdenebro I, Nuevo JC, Montero F, Schuster S: Metatool: for studying metabolic networks. Bioinformatics 1999, 15(3):251-257.
  • [33]Scott RA, Beuman DE, Clark JH: Cellular gluconeogenesis by lactating bovine mammary tissue. J Dairy Sci 1976, 59(1):50-56.
  • [34]Schuetz R, Zamboni N, Zampieri M, Heinemann M, Sauer U: Multidimensional optimality of microbial metabolism. Science 2012, 336(6081):601-604.
  • [35]Annison EF, Linzell JL, Fazakerley S, Nichols BW: The oxidation and utilization of palmitate, stearate, oleate and acetate by the mammary gland of the fed goat in relation to their overall metabolism, and the role of plasma phospholipids and neutral lipids in milk-fat synthesis. Biochem J 1967, 102(3):637-647.
  • [36]Shorten PR, Pleasants TB, Upreti GC: A mathematical model for mammary fatty acid synthesis and triglyceride assembly: the role of stearoyl CoA desaturase (SCD). J Dairy Res 2004, 71(4):385-397.
  • [37]Smith GH, Crabtree B, Smith R: Energy Metabolism in the Mammary Gland. Amsterdam, New York: Elsevier; 1983.
  • [38]Annison EF, Linzell JL, West CE: Mammary and whole animal metabolism of glucose and fatty acids in fasting lactating goats. J Physiol (Lond) 1968, 197(2):445-459.
  • [39]Wiechert W: 13C Metabolic Flux Analysis. Metab Eng 2001, 3(3):195-206.
  • [40]Crown SB, Ahn WS, Antoniewicz MR: Rational design of 13C-labeling experiments for metabolic flux analysis in mammalian cells. BMC Syst Biol 2012, 6:43. BioMed Central Full Text
  • [41]Fell DA, Small JR: Fat synthesis in adipose tissue. An examination of stoichiometric constraints. Biochem J 1968, 238:781-786.
  • [42]Consoli A, Kennedy F, Miles J, Gerich J: Determination of Krebs cycle metabolic carbon exchange in vivo and its use to estimate the individual contributions of gluconeogenesis and glycogenolysis to overall glucose output in man. J Clin Invest 1987, 80(5):1303-1310.
  • [43]Katz J: Determination of gluconeogenesis in vivo with 14C-labeled substrates. Am J Physiol 1985, 248(4 Pt 2)::R391-399.
  • [44]Blavy P, Gondret F, Guillou H, Lagarrigue S, Martin PGP, van Milgen J, Radulescu O, Siegel A: A minimal model for hepatic fatty acid balance during fasting: application to {PPAR} alpha-deficient mice. J Theor Biol 2009, 261(2):266-278.
  • [45]Covert MW, Schilling CH, Palsson B: Regulation of gene expression in flux balance models of metabolism. J Theor Biol 2001, 213(1):73-88.
  • [46]Larhlimi A, Bockmayr A: Minimal metabolic behaviors and the reversible metabolic space. Technical report, Matheon, Berlin, Germany,; 2009.
  • [47]Edwards JS, Ibarra RU, Palsson BO: In silico predictions of Escherichia coli metabolic capabilities are consistent with experimental data. Nat Biotechnol 2001, 19(2):125-130.
  • [48]Adamou O: Study of Some Epidemiological Models by the Methods of Computer Algebra. PhD thesis, University of Rennes-1 (France) and UAM (Niger),; 2009.
  • [49]Bertsekas DP: Nonlinear Programming. Cambridge: Athena Scientific; 1999.
  • [50]Stein WA, et al.: Sage Mathematics Software (Version 5.5). The Sage Development Team; 2012. http://wiki.sagemath.org/Publications_using_SAGE webcite
  • [51]Byrd RH, Gilbert JC, Nocedal J: A trust region method based on interior point techniques for nonlinear programming. Math Prog 2000, 89(1):149-185.
  • [52]Botkin ND, Turova-Botkina VL: An algorithm for finding the chebyshev center of a convex polyhedron. Appl Math Optimization 1994, 29(2):211-222.
  • [53]NutritionAnalyzer, an online tool to explore the flexibility of metabolic models in nutrition studies http://nutritionanalyzer.genouest.org webcite
  • [54]Lobley GE: Energy metabolism reactions in ruminant muscle: responses to age, nutrition and hormonal status. Reprod Nutr Dev 1990, 30(1):13-34.
  文献评价指标  
  下载次数:0次 浏览次数:1次