@article{Diego2018Featu-55589,
  year={2018},
  doi={10.1103/PhysRevX.8.021071},
  title={Key Features of Turing Systems are Determined Purely by Network Topology},
  number={2},
  volume={8},
  journal={Physical Review X},
  author={Diego, Xavier and Marcon, Luciano and Müller, Patrick and Sharpe, James},
  note={Article Number: 021071}
}

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    <dc:creator>Marcon, Luciano</dc:creator>
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    <dc:creator>Diego, Xavier</dc:creator>
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    <dc:contributor>Marcon, Luciano</dc:contributor>
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    <dc:creator>Sharpe, James</dc:creator>
    <dc:contributor>Sharpe, James</dc:contributor>
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    <dcterms:title>Key Features of Turing Systems are Determined Purely by Network Topology</dcterms:title>
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    <dc:contributor>Müller, Patrick</dc:contributor>
    <dcterms:abstract xml:lang="eng">Turing’s theory of pattern formation is a universal model for self-organization, applicable to many systems in physics, chemistry, and biology. Essential properties of a Turing system, such as the conditions for the existence of patterns and the mechanisms of pattern selection, are well understood in small networks. However, a general set of rules explaining how network topology determines fundamental system properties and constraints has not been found. Here we provide a first general theory of Turing network topology, which proves why three key features of a Turing system are directly determined by the topology: the type of restrictions that apply to the diffusion rates, the robustness of the system, and the phase relations of the molecular species.</dcterms:abstract>
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