Phys. Rev. E 73, 011912 (2006) [7 pages]Evolutionary origin of power-laws in a biochemical reaction network: Embedding the distribution of abundance into topologyReceived 21 February 2005; revised 1 September 2005; published 23 January 2006 The evolutionary origin of general statistics in a biochemical reaction network is studied here to explain the power-law distribution of reaction links and the power-law distribution of chemical abundance. Using cell models with catalytic reaction networks, we have confirmed that the power-law distribution for the abundance of chemicals emerges by the selection of cells with higher growth rates, as suggested in our previous study [ Phys. Rev. Lett. 90 088102 (2003)]. Through further evolution, this inhomogeneity in chemical abundance is shown to be embedded in the distribution of links, leading to the power-law distribution. We analyze the mechanism of this embedding and discuss the generality of the results. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.73.011912
DOI:
10.1103/PhysRevE.73.011912
PACS:
87.17.Aa, 87.23.Kg, 89.75.Hc
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