Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics - Archive ouverte HAL Access content directly
Journal Articles Inverse Problems Year : 2009

Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics

Abstract

We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population. We propose a new regularization technique based on a filtering approach. We prove convergence of the algorithm and validate the theoretical results by implementing numerical simulations, based on classical techniques. We compare the results for direct and inverse problems, for the filtering method and for the quasi-reversibility method proposed in [Perthame-Zubelli].
Fichier principal
Vignette du fichier
paper_dpz_june24.pdf (3.12 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00327151 , version 1 (07-10-2008)

Identifiers

Cite

Marie Doumic-Jauffret, Benoît Perthame, Jorge Zubelli. Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics. Inverse Problems, 2009, 25 (4), pp.045008. ⟨10.1088/0266-5611/25/4/045008⟩. ⟨hal-00327151⟩
309 View
223 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More