Mapping mechanical stress in curved epithelia of designed size and shape

Abstract

We thank C. Pérez-González, N. Castro, and all of the members of the Roca-Cusachs, Arroyo, and Trepat laboratories for their discussions and support. This work was supported by: Generalitat de Catalunya (Agaur, SGR-2021-01425 to X.T., SGR-2021-00523 to R.S., the CERCA Programme, and “ICREA Academia” award to M.A. and P.R-C.); Spanish Ministry for Science and Innovation MICCINN/FEDER (PID2021- 128635NB-I00, MCIN/AEI/ 10.13039/501100011033 and “ERDF-EU A way of making Europe” to X.T., PID2019-110949GB-I00 to M.A., PID2019- 110298GB-I00 to P.R.-C., PID2021-128674OB-I00, RTI2018-101256-J-I00, and RYC2019-026721-I to R.S.); European Research Council (Adv883739 to X.T., CoG-681434 to M.A.); Fundació la Marató de TV3 (project 201903-30-31-32 to X.T.); Deutsche Forschungsgemeinschaft (DFG GO3403/1-1 to T.G.); IBEC, IRB, and CIMNE are recipients of a Severo Ochoa Award of Excellence from the MINECO; European Commission (H2020-FETPROACT-01-2016-731957 to P.R-C.); La Caixa Foundation (LCF/PR/HR20/52400004 and ID 100010434 under the agreement LCF/ PR/HR20/52400004 to P.R-C. and X.T.). R.S. is a Serra Húnter fellow.

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.

Peer Reviewed

Postprint (published version)