title: Inference of Internal Stress in a Cell Monolayer.
abstract: We combine traction force data with Bayesian inversion to obtain an absolute estimate of the internal stress field of a cell monolayer. The method, Bayesian inversion stress microscopy, is validated using numerical simulations performed in a wide range of conditions. It is robust to changes in each ingredient of the underlying statistical model. Importantly, its accuracy does not depend on the rheology of the tissue. We apply Bayesian inversion stress microscopy to experimental traction force data measured in a narrow ring of cohesive epithelial cells, and check that the inferred stress field coincides with that obtained by direct spatial integration of the traction force data in this quasi one-dimensional geometry.
authors.affiliation: Sorbonne Universités, UPMC, Université Paris 6, Institut Curie, Centre National de la Recherche Scientifique, UMR 168, Laboratoire Physico-Chime Curie, Paris, France.
authors.forename: Vincent
authors.initials: V
authors.lastname: Nier
authors.affiliation: Mechanobiology Institute, National University of Singapore, Singapore.
authors.forename: Shreyansh
authors.initials: S
authors.lastname: Jain
authors.affiliation: Mechanobiology Institute, National University of Singapore, Singapore; Department of Biomedical Engineering and Department of Mechanical Engineering, National University of Singapore, Singapore.
authors.forename: Chwee Teck
authors.initials: CT
authors.lastname: Lim
authors.affiliation: Department of Physics, Meiji University, Kawasaki, Kanagawa, Japan.
authors.forename: Shuji
authors.initials: S
authors.lastname: Ishihara
authors.affiliation: Mechanobiology Institute, National University of Singapore, Singapore; Institut Jacques Monod, Centre National de la Recherche Scientifique, UMR 7592, Université Paris Diderot, Paris, France.
authors.forename: Benoit
authors.initials: B
authors.lastname: Ladoux
authors.affiliation: Sorbonne Universités, UPMC, Université Paris 6, Institut Curie, Centre National de la Recherche Scientifique, UMR 168, Laboratoire Physico-Chime Curie, Paris, France. Electronic address: philippe.marcq@curie.fr.
authors.forename: Philippe
authors.initials: P
authors.lastname: Marcq
mesh_terms: D000818:Animals; D001499:Bayes Theorem; D001696:Biomechanical Phenomena; D004285:Dogs; D061985:Madin Darby Canine Kidney Cells; D008853:Microscopy; D008954:Models, Biological; D013314:Stress, Mechanical