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High-throughput mathematical analysis identifies Turing networks for patterning with equally diffusing signals.

Luciano Marcon1, Xavier Diego2,3, James Sharpe2,3,4

  • 1Friedrich Miescher Laboratory of the Max Planck Society, Tübingen, Germany.

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|April 9, 2016
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Summary
This summary is machine-generated.

Cell-autonomous factors enable pattern formation in Turing reaction-diffusion systems, even with identical diffusion rates. This research provides a new framework for understanding multicellular self-organization and engineering synthetic patterning systems.

Keywords:
S. cerevisiaeTuring patternscomputational biologydevelopmental biologydifferential diffusivitydiffusion-driven instabilitymousepattern formationself-organizationstem cellssystems biologyzebrafish

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Area of Science:

  • Systems Biology
  • Developmental Biology
  • Mathematical Biology

Background:

  • The Turing reaction-diffusion model explains pattern formation from uniform cellular states.
  • Extracellular signaling molecules with differing diffusion rates are traditionally thought essential.
  • The role of cell-autonomous signaling in Turing pattern formation remains largely unexplored.

Purpose of the Study:

  • To investigate the contribution of cell-autonomous signaling components to Turing reaction-diffusion systems.
  • To develop a mathematical framework for identifying realistic Turing networks.
  • To enable the engineering of synthetic patterning systems.

Main Methods:

  • Automated mathematical analysis to derive a catalog of Turing networks.
  • Development of software (RDNets.com) for exploring and constraining network topologies.
  • Application of the software to study embryonic axis specification and digit patterning.

Main Results:

  • Cell-autonomous factors allow Turing pattern formation with equally diffusing signals.
  • Pattern formation is possible for any combination of diffusion coefficients when cell-autonomous factors are present.
  • Existing synthetic circuits can be modified to create Turing reaction-diffusion systems.

Conclusions:

  • Cell-autonomous signaling significantly expands the conditions under which Turing patterns can form.
  • The developed framework and software facilitate the study and engineering of multicellular self-organization.
  • This work bridges theoretical understanding with practical applications in synthetic biology.