Publikation: Key Features of Turing Systems are Determined Purely by Network Topology
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2018
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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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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). 2018, 8(2), 021071. eISSN 2160-3308. Available under: doi: 10.1103/PhysRevX.8.021071BibTex
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year={2018},
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title={Key Features of Turing Systems are Determined Purely by Network Topology},
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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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<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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