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Measuring the mechanical properties of cells and tissues often involvesindentation with a sphere, or compression between two plates. Previously,different theoretical approaches have been developed to retrieve materialparameters (e.g. elastic modulus) or state variables (e.g. pressure) from suchexperiments. Here, we extend previous theoretical work on indentation of aspherical pressurized shell by a point force to cover indentation by aspherical probe or a plate. We provide formulae that enable the modulus orpressure to be deduced from experimental results with realistic contactgeometries, giving different results that are applicable depending on pressurelevel. We expect our results to be broadly useful when investigatingbiomechanics or mechanobiology of cells and tissues.

Compression of a pressurized spherical shell by a spherical or flat probe