Numerical solution of an inverse problem in size-structured population dynamics

Marie Doumic, Benoît Perthame, Jorge P. Zubelli

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


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 and Zubelli (2007 Inverse Problems 23 1037).

Original languageBritish English
Article number045008
JournalInverse Problems
Issue number4
StatePublished - 2009


Dive into the research topics of 'Numerical solution of an inverse problem in size-structured population dynamics'. Together they form a unique fingerprint.

Cite this