A universal power law and proportionate change process characterize the evolution of metabolic networks

Abstract. Biological and social systems have been found to possess a non-trivial underlying network structure of interacting components. An important current question concerns the nature of the evolutionary processes that have led to the observed structural patterns dynamically. By comparing the metabolic networks of evolutionarily closeby as well distant species, we present results on the evolution of these networks over short as well as long time scales. We observe that the amount of change in the reaction set of a metabolite across different species is proportional to the degree of the metabolite, thus providing empirical evidence for a `proportionate change' mechanism. We find that this evolutionary process is characterized by a power law with a universal exponent that is independent of the pair of species compared.

[1]  M. Tanner.  Trends in Biochemical Sciences , 1982 .

[2]  B Kahng,et al.  Robustness of the in-degree exponent for the World-Wide Web. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  A. Barabasi,et al.  Network biology: understanding the cell's functional organization , 2004, Nature Reviews Genetics.

[4]  R. Guimerà,et al.  Functional cartography of complex metabolic networks , 2005, Nature.

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

[6]  Z N Oltvai,et al.  Evolutionary conservation of motif constituents in the yeast protein interaction network , 2003, Nature Genetics.

[7]  Z. Neda,et al.  Measuring preferential attachment in evolving networks , 2001, cond-mat/0104131.

[8]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[9]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[10]  P. Bork,et al.  Metabolites: a helping hand for pathway evolution? , 2003, Trends in biochemical sciences.

[11]  Hiroyuki Ogata,et al.  KEGG: Kyoto Encyclopedia of Genes and Genomes , 1999, Nucleic Acids Res..

[12]  E. Levanon,et al.  Preferential attachment in the protein network evolution. , 2003, Physical review letters.

[13]  S. Redner,et al.  Infinite-order percolation and giant fluctuations in a protein interaction network. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Ricard V. Solé,et al.  A Model of Large-Scale proteome Evolution , 2002, Adv. Complex Syst..

[15]  Lada A. Adamic,et al.  Internet: Growth dynamics of the World-Wide Web , 1999, Nature.

[16]  D. Fell,et al.  The small world inside large metabolic networks , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[17]  M. Purugganan,et al.  The evolution of molecular genetic pathways and networks , 2004, BioEssays : news and reviews in molecular, cellular and developmental biology.

[18]  R. Tanaka,et al.  Scale-rich metabolic networks. , 2005, Physical review letters.

[19]  Fan Chung Graham,et al.  Duplication Models for Biological Networks , 2002, J. Comput. Biol..

[20]  김삼묘,et al.  “Bioinformatics” 특집을 내면서 , 2000 .

[21]  L. Caporale,et al.  Natural selection and the emergence of a mutation phenotype: an update of the evolutionary synthesis considering mechanisms that affect genome variation. , 2003, Annual review of microbiology.

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

[23]  Nature Genetics , 1991, Nature.