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Mapping mechanical stress in curved epithelia of designed size and shape

Author

Listed:
  • Ariadna Marín-Llauradó

    (The Barcelona Institute for Science and Technology (BIST))

  • Sohan Kale

    (Virginia Polytechnic Institute and State University
    Virginia Polytechnic Institute and State University)

  • Adam Ouzeri

    (Universitat Politècnica de Catalunya-BarcelonaTech)

  • Tom Golde

    (The Barcelona Institute for Science and Technology (BIST))

  • Raimon Sunyer

    (The Barcelona Institute for Science and Technology (BIST)
    Universitat de Barcelona
    Universitat de Barcelona
    Centro de Investigación Biomédica en Red en Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN))

  • Alejandro Torres-Sánchez

    (The Barcelona Institute for Science and Technology (BIST)
    Universitat Politècnica de Catalunya-BarcelonaTech
    European Molecular Biology Laboratory (EMBL) Barcelona)

  • Ernest Latorre

    (The Barcelona Institute for Science and Technology (BIST))

  • Manuel Gómez-González

    (The Barcelona Institute for Science and Technology (BIST))

  • Pere Roca-Cusachs

    (The Barcelona Institute for Science and Technology (BIST)
    Universitat de Barcelona)

  • Marino Arroyo

    (The Barcelona Institute for Science and Technology (BIST)
    Universitat Politècnica de Catalunya-BarcelonaTech
    Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE))

  • Xavier Trepat

    (The Barcelona Institute for Science and Technology (BIST)
    Universitat de Barcelona
    Centro de Investigación Biomédica en Red en Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN)
    Institució Catalana de Recerca i Estudis Avançats (ICREA))

Abstract

The function of organs such as lungs, kidneys and mammary glands relies on the three-dimensional geometry of their epithelium. To adopt shapes such as spheres, tubes and ellipsoids, epithelia generate mechanical stresses that are generally unknown. Here we engineer curved epithelial monolayers of controlled size and shape and map their state of stress. We design pressurized epithelia with circular, rectangular and ellipsoidal footprints. We develop a computational method, called curved monolayer stress microscopy, to map the stress tensor in these epithelia. This method establishes a correspondence between epithelial shape and mechanical stress without assumptions of material properties. In epithelia with spherical geometry we show that stress weakly increases with areal strain in a size-independent manner. In epithelia with rectangular and ellipsoidal cross-section we find pronounced stress anisotropies that impact cell alignment. Our approach enables a systematic study of how geometry and stress influence epithelial fate and function in three-dimensions.

Suggested Citation

  • Ariadna Marín-Llauradó & Sohan Kale & Adam Ouzeri & Tom Golde & Raimon Sunyer & Alejandro Torres-Sánchez & Ernest Latorre & Manuel Gómez-González & Pere Roca-Cusachs & Marino Arroyo & Xavier Trepat, 2023. "Mapping mechanical stress in curved epithelia of designed size and shape," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
  • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-38879-7
    DOI: 10.1038/s41467-023-38879-7
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