https://doi.org/10.1140/epje/s10189-026-00576-w
Research - Living Systems
Inference of the 3D pressure field exerted by a single cell from a thin membrane transverse deformation
1
Univ Toulouse, CNRS, LPT, Toulouse, France
2
Univ Toulouse, Inserm, CNRS, INFINITy, Toulouse, France
3
Department of Dermatology, Medical University of Vienna, Vienna, Austria
a
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Received:
25
November
2025
Accepted:
5
March
2026
Published online:
6
April
2026
Abstract
Numerous cell types relate to their immediate environment by exerting a three-dimensional pressure field on their environment, with components both longitudinal and transverse to the cell membrane. This pressure field can in principle be measured by traction force microscopy experiments. Compared to other approaches, the technique of protrusion force microscopy gives access with high spatial resolution to the pressure field by measuring the deformation of a thin elastic membrane using atomic force microscopy (AFM). However, while the pressure field under interest is three-dimensional, the height profile measured by AFM is only one-dimensional. We propose a solution to this inverse problem and we explore its regime of applicability in the experimental context.
© The Author(s) 2026
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