A scheme for 3-dimensional morphological reconstruction and force inference in the early C. elegans embryo

Abstract

In this study, we present novel schemes for the reconstruction of cellular morphology and the inference of forces in the early C. elegans embryo. We have developed and bench-marked a morphological reconstruction scheme that transforms live-imaging of cellular membranes into a point cloud of smoothed surface patches, which facilitates accurate estimation of membrane curvatures and the angles between membranes.\n\nAssuming an isotropic and homogeneous distribution of tensions along a membrane, we infer a pattern of forces that are 7% deviated from force balance at edges, and 10% deviated from the Young-Laplace relation at membrane faces. We have also demonstrated the stability of our scheme by sensitivity analysis of the coefficient matrices involved and the reproducibility of our image-analysis and force inference pipeline.