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Theory of branching morphogenesis by local interactions and global guidance

Author

Listed:
  • Mehmet Can Uçar

    (Institute of Science and Technology Austria)

  • Dmitrii Kamenev

    (Karolinska Institutet)

  • Kazunori Sunadome

    (Karolinska Institutet)

  • Dominik Fachet

    (Institute of Science and Technology Austria
    Humboldt-Universität zu Berlin)

  • Francois Lallemend

    (Karolinska Institutet
    Karolinska Institutet)

  • Igor Adameyko

    (Karolinska Institutet
    Medical University of Vienna)

  • Saida Hadjab

    (Karolinska Institutet)

  • Edouard Hannezo

    (Institute of Science and Technology Austria)

Abstract

Branching morphogenesis governs the formation of many organs such as lung, kidney, and the neurovascular system. Many studies have explored system-specific molecular and cellular regulatory mechanisms, as well as self-organizing rules underlying branching morphogenesis. However, in addition to local cues, branched tissue growth can also be influenced by global guidance. Here, we develop a theoretical framework for a stochastic self-organized branching process in the presence of external cues. Combining analytical theory with numerical simulations, we predict differential signatures of global vs. local regulatory mechanisms on the branching pattern, such as angle distributions, domain size, and space-filling efficiency. We find that branch alignment follows a generic scaling law determined by the strength of global guidance, while local interactions influence the tissue density but not its overall territory. Finally, using zebrafish innervation as a model system, we test these key features of the model experimentally. Our work thus provides quantitative predictions to disentangle the role of different types of cues in shaping branched structures across scales.

Suggested Citation

  • Mehmet Can Uçar & Dmitrii Kamenev & Kazunori Sunadome & Dominik Fachet & Francois Lallemend & Igor Adameyko & Saida Hadjab & Edouard Hannezo, 2021. "Theory of branching morphogenesis by local interactions and global guidance," Nature Communications, Nature, vol. 12(1), pages 1-10, December.
  • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-27135-5
    DOI: 10.1038/s41467-021-27135-5
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    References listed on IDEAS

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