Abstract
Measuring the mechanical properties of cells and tissues often involves indentation with a sphere or compression between two plates. Different theoretical approaches have been developed to retrieve material parameters (e.g., elastic modulus) or state variables (e.g., pressure) from such experiments. Here, we extend previous theoretical work on indentation of a spherical pressurized shell by a point force to cover indentation by a spherical probe or a plate. We provide formulae that enable the modulus or pressure to be deduced from experimental results with realistic contact geometries, giving different results that are applicable depending on pressure level. We expect our results to be broadly useful when investigating biomechanics or mechanobiology of cells and tissues.
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Funding
Etienne Couturier is funded by ANR AnAdSPi (ANR-20-CE30-0005). Arezki Boudaoud is funded by ANR-17-CE20-0023-02 WALLMIME, ANR-20-CE13-0022-03 HydroField, ANR-20-CE13-0003-02 CellWallSense.
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EC, DV, and AB designed the research. EC performed the research. EC, DV, and AB wrote the article.
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Guest editors: Alexandre Kabla, BenoÃRt Ladoux, Jean-Marc Di Meglio.
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Couturier, E., Vella, D. & Boudaoud, A. Compression of a pressurized spherical shell by a spherical or flat probe. Eur. Phys. J. E 45, 13 (2022). https://doi.org/10.1140/epje/s10189-022-00166-6
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DOI: https://doi.org/10.1140/epje/s10189-022-00166-6