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• W2419218429 abstract "Highly-optimized complex transport networks serve crucial functions in many man-made and natural systems such as power grids and plant or animal vasculature. Often, the relevant optimization functional is non-convex and characterized by many local extrema. In general, finding the global, or nearly global optimum is difficult. In biological systems, it is believed that natural selection slowly guides the network towards an optimized state. However, general coarse grained models for flow networks with local positive feedback rules for the vessel conductivity typically get trapped in low efficiency, local minima. In this work we show how the growth of the underlying tissue, coupled to the dynamical equations for network development, can drive the system to a dramatically improved optimal state. This general model provides a surprisingly simple explanation for the appearance of highly optimized transport networks in biology such as leaf and animal vasculature." @default.
• W2419218429 created "2016-06-24" @default.
• W2419218429 creator A5044737729 @default.
• W2419218429 creator A5078984146 @default.
• W2419218429 date "2016-09-22" @default.
• W2419218429 modified "2023-10-12" @default.
• W2419218429 title "Global Optimization, Local Adaptation, and the Role of Growth in Distribution Networks" @default.
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• W2419218429 doi "https://doi.org/10.1103/physrevlett.117.138301" @default.
• W2419218429 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/27715085" @default.
• W2419218429 hasPublicationYear "2016" @default.
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