Key Features of Turing Systems are Determined Purely by Network Topology

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2018
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Diego, Xavier
Marcon, Luciano
Sharpe, James
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Physical Review X. American Physical Society (APS). 2018, 8(2), 021071. eISSN 2160-3308. Available under: doi: 10.1103/PhysRevX.8.021071
Zusammenfassung

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.

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570 Biowissenschaften, Biologie
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ISO 690DIEGO, Xavier, Luciano MARCON, Patrick MÜLLER, James SHARPE, 2018. Key Features of Turing Systems are Determined Purely by Network Topology. In: Physical Review X. American Physical Society (APS). 2018, 8(2), 021071. eISSN 2160-3308. Available under: doi: 10.1103/PhysRevX.8.021071
BibTex
@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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