Key Features of Turing Systems are Determined Purely by Network Topology

Diego, Xavier; Marcon, Luciano; Müller, Patrick; Sharpe, James

Key Features of Turing Systems are Determined Purely by Network Topology

Dateien

Diego_2-5do2u2s4mqo90.pdf(5.54 MB)

Datum

2018

Autor:innen

Diego, Xavier

Marcon, Luciano

Müller, Patrick

Sharpe, James

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review X ; 8 (2018), 2. - 021071. - American Physical Society (APS). - eISSN 2160-3308

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.

Fachgebiet (DDC)

570 Biowissenschaften, Biologie

Zitieren

ISO 690

DIEGO, 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). 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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