Abstract
High-throughput techniques are leading to an explosive growth in the size of biological databases and creating the opportunity to revolutionize our understanding of life and disease. Interpretation of these data remains, however, a major scientific challenge. Here, we propose a methodology that enables us to extract and display information contained in complex networks1,2,3. Specifically, we demonstrate that we can find functional modules4,5 in complex networks, and classify nodes into universal roles according to their pattern of intra- and inter-module connections. The method thus yields a ‘cartographic representation’ of complex networks. Metabolic networks6,7,8 are among the most challenging biological networks and, arguably, the ones with most potential for immediate applicability9. We use our method to analyse the metabolic networks of twelve organisms from three different superkingdoms. We find that, typically, 80% of the nodes are only connected to other nodes within their respective modules, and that nodes with different roles are affected by different evolutionary constraints and pressures. Remarkably, we find that metabolites that participate in only a few reactions but that connect different modules are more conserved than hubs whose links are mostly within a single module.
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References
- 1
Amaral, L. A. N., Scala, A., Barthelémy, M. & Stanley, H. E. Classes of small-world networks. Proc. Natl Acad. Sci. USA 97, 11149–11152 (2000)
- 2
Albert, R. & Barabási, A.-L. Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47–97 (2002)
- 3
Amaral, L. A. N. & Ottino, J. Complex networks: Augmenting the framework for the study of complex systems. Eur. Phys. J. B 38, 147–162 (2004)
- 4
Hartwell, L. H., Hopfield, J. J., Leibler, S. & Murray, A. W. From molecular to modular biology. Nature 402 (Suppl.), C47–C52 (1999)
- 5
Girvan, M. & Newman, M. E. J. Community structure in social and biological networks. Proc. Natl Acad. Sci. USA 99, 7821–7826 (2002)
- 6
Jeong, H., Tombor, B., Albert, R., Oltvai, Z. N. & Barabási, A. L. The large-scale organization of metabolic networks. Nature 407, 651–654 (2000)
- 7
Wagner, A. & Fell, D. A. The small world inside large metabolic networks. Proc. R. Soc. Lond. B 268, 1803–1810 (2001)
- 8
Ma, H. & Zeng, A.-P. Reconstruction of metabolic networks from genome data and analysis of their global structure for various organisms. Bioinformatics 19, 270–277 (2003)
- 9
Hatzimanikatis, V., Li, C., Ionita, J. A. & Broadbelt, L. Metabolic networks: enzyme function and metabolite structure. Curr. Opin. Struct. Biol. 14, 300–306 (2004)
- 10
Guimerà, R., Danon, L., Díaz-Guilera, A., Giralt, F. & Arenas, A. Self-similar community structure in a network of human interactions. Phys. Rev. E 68, no. 065103 (2003)
- 11
Newman, M. E. J. & Girvan, M. Finding and evaluating community structure in networks. Phys. Rev. E 69, no. 026113 (2004)
- 12
Arenas, A., Danon, L., Díaz-Guilera, A., Gleiser, P. M. & Guimerà, R. Community analysis in social networks. Eur. Phys. J. B 38, 373–380 (2004)
- 13
Krause, A. E., Frank, K. A., Mason, D. M., Ulanowicz, R. E. & Taylor, W. W. Compartments revealed in food-web structure. Nature 426, 282–285 (2003)
- 14
Ravasz, E., Somera, A. L., Mongru, D. A., Oltvai, Z. N. & Barabási, A.-L. Hierarchical organization of modularity in metabolic networks. Science 297, 1551–1555 (2002)
- 15
Holme, P. & Huss, M. Subnetwork hierarchies of biochemical pathways. Bioinformatics 19, 532–538 (2003)
- 16
Papin, J. A., Reed, J. L. & Palsson, B. O. Hierarchical thinking in network biology: the unbiased modularization of biochemical networks. Trends Biochem. Sci. 29, 641–647 (2004)
- 17
Eriksen, K. A., Simonsen, I., Maslov, S. & Sneppen, K. Modularity and extreme edges of the Internet. Phys. Rev. Lett. 90, no. 148701 (2003)
- 18
Newman, M. E. J. Fast algorithm for detecting community structure in networks. Phys. Rev. E 69, no. 066133 (2004)
- 19
Radicchi, F., Castellano, C., Cecconi, F., Loreto, V. & Parisi, D. Defining and identifying communities in networks. Proc. Natl Acad. Sci. USA 101, 2658–2663 (2004)
- 20
Donetti, L. & Muñoz, M. A. Detecting network communities: A new systematic and efficient algorithm. J. Stat. Mech. Theor. Exp., P10012 (2004)
- 21
Guimerà, R., Sales-Pardo, M. & Amaral, L. A. N. Modularity from fluctuations in random graphs and complex networks. Phys. Rev. E 70, no. 025101 (2004)
- 22
Kirkpatrick, S., Gelatt, C. D. & Vecchi, M. P. Optimization by simulated annealing. Science 220, 671–680 (1983)
- 23
Wasserman, S. & Faust, K. Social Network Analysis Ch. 12, 4 (Cambridge Univ. Press, Cambridge, 1994)
- 24
Guimerà, R. & Amaral, L. A. N. Cartography of complex networks: Modules and universal roles. J. Stat. Mech. Theor. Exp. P02001 (2005)
- 25
Rives, A. W. & Galitski, T. Modular organization of cellular networks. Proc. Natl Acad. Sci. USA 100, 1128–1133 (2003)
- 26
Han, J.-D. J. et al. Evidence for dynamically organized modularity in the yeast protein–protein interaction network. Nature 430, 88–93 (2004)
- 27
Kanehisa, M. & Goto, S. KEGG: Kyoto Encyclopedia of Genes and Genomes. Nucleic Acids Res. 28, 27–30 (2000)
- 28
Schuster, S., Fell, D. A. & Dandekar, T. A general definition of metabolic pathways useful for systematic organization and analysis of complex metabolic networks. Nature Biotechnol. 18, 326–332 (2000)
- 29
Schuster, S., Pfeiffer, T., Moldenhauer, F., Koch, I. & Dandekar, T. Exploring the pathway structure of metabolism: decomposition into subnetworks and application to Microplasma pneumoniae . Bioinformatics 18, 351–361 (2002)
- 30
Jeong, H., Mason, S. P., Barabási, A.-L. & Oltvai, Z. N. Lethality and centrality in protein networks. Nature 411, 41–42 (2001)
Acknowledgements
We thank L. Broadbelt, V. Hatzimanikatis, A. A. Moreira, E. T. Papoutsakis, M. Sales-Pardo and D. B. Stouffer for discussions and suggestions, and H. Ma and A. P. Zeng for providing us with their metabolic networks' database. R.G. thanks the Fulbright Program and the Spanish Ministry of Education, Culture & Sports. L.A.N.A. acknowledges the support of a Searle Leadership Fund Award and of a NIH/NIGMS K-25 award.
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Supplementary information
Supplementary Discussion
Additional information on role definition, application of the method to metabolic networks, and discussion of the results. This file contains 13 figures (S1-S13). (PDF 1699 kb)
Supplementary Table 1
Module description (including metabolite list) for the 12 organisms as obtained from the MZ database. (XLS 60 kb)
Supplementary Table 2 (module)
Module description (including metabolite list) for the 12 organisms as obtained from the KEGG database. (XLS 123 kb)
Supplementary Table 2 (role)
Role description (including metabolite list) for the 12 organisms as obtained from the KEGG database. (XLS 112 kb)
Supplementary Table 3
Role description (including metabolite list) for the 12 organisms as obtained from the MZ database. (XLS 72 kb)
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Guimerà, R., Nunes Amaral, L. Functional cartography of complex metabolic networks. Nature 433, 895–900 (2005). https://doi.org/10.1038/nature03288
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