Moments approaches for asymptotic inverse problems of depolymerisation and fragmentation systems
Analysis of PDEs
2024-07-08 v1
Abstract
Shrinkage of large particles, either through depolymerisation (i.e. progressive shortening) or through fragmentation (breakage into smaller pieces) may be modelled by discrete equations, of Becker-D\''oring type, or by continuous ones. In this note, we review two kinds of inverse problems: the first is the estimation of the initial size-distribution from moments measurements in a depolymerising system, in collaboration with Philippe Moireau and inspired by experiments carried out by Human Rezaei's team; the second is the inference of fragmentation characteristics from size distribution samples, in collaboration with Miguel Escobedo and Magali Tournus, based on biological questions and experiments of Wei-Feng Xue's team.
Keywords
Cite
@article{arxiv.2407.04312,
title = {Moments approaches for asymptotic inverse problems of depolymerisation and fragmentation systems},
author = {Marie Doumic},
journal= {arXiv preprint arXiv:2407.04312},
year = {2024}
}