Marie Doumic

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

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).

Statistical estimation of a growth-fragmentation model observed on a genealogical tree

We model the growth of a cell population by a piecewise deterministic Markov branching tree. Each cell splits into two offsprings at a division rate

Analysis of a Population Model Structured by the Cells Molecular Content

B(x)

A NEW MODEL FOR THE ESTIMATION OF CELL PROLIFERATION DYNAMICS USING CFSE DATA

that depends on its size

Nonparametric Estimation of the Division Rate of a Size-Structured Population

x

An Efficient Kinetic Model for Assemblies of Amyloid Fibrils and Its Application to Polyglutamine Aggregation

. The size of each cell grows exponentially in time, at a rate that varies for each individual. We show that the mean empirical measure of the model satisfies a growth-fragmentation type equation if structured in both size and growth rate as state variables. We construct a nonparametric estimator of the division rate

A Structured Population Model of Cell Differentiation

B(x)

Prion dynamics with size dependency–strain phenomena

based on the observation of the population over different sampling schemes of size

Self-similarity in a general aggregation–fragmentation problem. Application to fitness analysis

n

Estimating the division rate for the growth-fragmentation equation

on the genealogical tree. Our estimator nearly achieves the rate