Although mechanical cues are crucial to tissue morphogenesis and development, the tissue mechanical stress field remains poorly characterized. Given traction force timelapse movies, as obtained by traction force microscopy of in vitro cellular sheets, we show that the tissue stress field can be estimated by Kalman filtering. After validation using numerical data, we apply Kalman inversion stress microscopy to experimental data. We combine the inferred stress field with velocity and cell shape measurements to quantify the rheology of epithelial cell monolayers in physiological conditions, found to be close to that of an elastic and active material.
@article{arxiv.1809.10866,
title = {Kalman inversion stress microscopy},
author = {V. Nier and G. Peyret and J. d'Alessandro and S. Ishihara and B. Ladoux and P. Marcq},
journal= {arXiv preprint arXiv:1809.10866},
year = {2019}
}