Joint Motion Estimation and Source Identification with an Application to the Analysis of Cell MembranesMS73

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) .

Lukas F. Lang (University of Cambridge)
Carola-Bibiane Schönlieb (University of Cambridge)
Nilankur Dutta (LIPHY, Université Grenoble Alpes)
Jocelyn Étienne (LIPHY, Université Grenoble Alpes)
inverse problems, motion estimation, regularization