Using the topology of metabolic networks to predict viability of mutant strains.

Understanding the relationships between the structure (topology) and function of biological networks is a central question of systems biology. The idea that topology is a major determinant of systems function has become an attractive and highly disputed hypothesis. Although structural analysis of interaction networks demonstrates a correlation between the topological properties of a node (protein, gene) in the network and its functional essentiality, the analysis of metabolic networks fails to find such correlations. In contrast, approaches utilizing both the topology and biochemical parameters of metabolic networks, e.g., flux balance analysis, are more successful in predicting phenotypes of knockout strains. We reconcile these seemingly conflicting results by showing that the topology of the metabolic networks of both Escherichia coli and Saccharomyces cerevisiae are, in fact, sufficient to predict the viability of knockout strains with accuracy comparable to flux balance analysis on large, unbiased mutant data sets. This surprising result is obtained by introducing a novel topology-based measure of network transport: synthetic accessibility. We also show that other popular topology-based characteristics such as node degree, graph diameter, and node usage (betweenness) fail to predict the viability of E. coli mutant strains. The success of synthetic accessibility demonstrates its ability to capture the essential properties of the metabolic network, such as the branching of chemical reactions and the directed transport of material from inputs to outputs. Our results strongly support a link between the topology and function of biological networks and, in agreement with recent genetic studies, emphasize the minimal role of flux rerouting in providing robustness of mutant strains.

[1]  P R Romero,et al.  Nutrient-related analysis of pathway/genome databases. , 2001, Pacific Symposium on Biocomputing. Pacific Symposium on Biocomputing.

[2]  Karl J. Friston,et al.  Metabolic network analysis of the causes and evolution of enzyme dispensability in yeast , 2004 .

[3]  B. Palsson,et al.  Metabolic Flux Balancing: Basic Concepts, Scientific and Practical Use , 1994, Bio/Technology.

[4]  G. Church,et al.  Analysis of optimality in natural and perturbed metabolic networks , 2002 .

[5]  A. Barabasi,et al.  Lethality and centrality in protein networks , 2001, Nature.

[6]  B. Palsson,et al.  The Escherichia coli MG1655 in silico metabolic genotype: its definition, characteristics, and capabilities. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[7]  B. Palsson,et al.  An expanded genome-scale model of Escherichia coli K-12 (iJR904 GSM/GPR) , 2003, Genome Biology.

[8]  Bernhard O. Palsson,et al.  Metabolic flux balance analysis and the in silico analysis of Escherichia coli K-12 gene deletions , 2000, BMC Bioinformatics.

[9]  Markus J. Herrgård,et al.  Reconstruction and validation of Saccharomyces cerevisiae iND750, a fully compartmentalized genome-scale metabolic model. , 2004, Genome research.

[10]  M E Newman,et al.  Scientific collaboration networks. I. Network construction and fundamental results. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Ronald W. Davis,et al.  Functional profiling of the Saccharomyces cerevisiae genome , 2002, Nature.

[12]  Oliver Ebenhöh,et al.  Expanding Metabolic Networks: Scopes of Compounds, Robustness, and Evolution , 2005, Journal of Molecular Evolution.

[13]  Ronald W. Davis,et al.  Systematic screen for human disease genes in yeast , 2002, Nature Genetics.

[14]  R. Albert,et al.  The large-scale organization of metabolic networks , 2000, Nature.

[15]  B. Palsson,et al.  Genome-scale reconstruction of the Saccharomyces cerevisiae metabolic network. , 2003, Genome research.

[16]  An-Ping Zeng,et al.  Reconstruction of metabolic networks from genome data and analysis of their global structure for various organisms , 2003, Bioinform..

[17]  A. Burgard,et al.  Probing the performance limits of the Escherichia coli metabolic network subject to gene additions or deletions. , 2001, Biotechnology and bioengineering.

[18]  S. Schuster,et al.  Metabolic network structure determines key aspects of functionality and regulation , 2002, Nature.

[19]  J. Edwards,et al.  Systems Properties of the Haemophilus influenzaeRd Metabolic Genotype* , 1999, The Journal of Biological Chemistry.

[20]  Massimo Marchiori,et al.  Error and attacktolerance of complex network s , 2004 .

[21]  M. Newman,et al.  Scientific collaboration networks. II. Shortest paths, weighted networks, and centrality. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  U. Sauer,et al.  Large-scale 13C-flux analysis reveals mechanistic principles of metabolic network robustness to null mutations in yeast , 2005, Genome Biology.

[23]  J. Stelling,et al.  Combinatorial Complexity of Pathway Analysis in Metabolic Networks , 2004, Molecular Biology Reports.

[24]  J. Shendure,et al.  Selection analyses of insertional mutants using subgenic-resolution arrays , 2001, Nature Biotechnology.

[25]  B. Palsson,et al.  Properties of metabolic networks: structure versus function. , 2005, Biophysical journal.

[26]  J. W. Campbell,et al.  Experimental Determination and System Level Analysis of Essential Genes in Escherichia coli MG1655 , 2003, Journal of bacteriology.