The main motivation for this work is to identify tissue loss and growth in kymographs of fluorescently labelled cell membranes in live Drosophila embryos. We propose a variational model based on mass conservation with a source term together with convective regularisation, discuss its numerical solution, and present experimental results. This is joint work with Nilankur Dutta, Jocelyn Étienne, and Carola-Bibiane Schönlieb.

This presentation is part of Minisymposium “MS73 - Mathematical Methods for Spatiotemporal Imaging (2 parts)”
organized by: Chong Chen (LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences) , Barbara Gris (Laboratoire Jacques-Louis Lions) , Ozan Öktem (KTH - Royal Institute of Technology) .

Authors:

Lukas F. Lang (University of Cambridge)

Carola-Bibiane Schönlieb (University of Cambridge)

Nilankur Dutta (LIPHY, Université Grenoble Alpes)

Jocelyn Étienne (LIPHY, Université Grenoble Alpes)

Keywords:

inverse problems, motion estimation, regularization