We raise the issue of estimating the division rate for a growing and dividing population
modelled by a piecewise deterministic Markov branching tree. Such models have broad …

Cells grown in culture act as a model system for analyzing the effects of anticancer
compounds, which may affect cell behavior in a cell cycle position-dependent manner. Cell …

We consider a particle system in continuous time, a discrete population, with spatial motion,
and nonlocal branching. The offspring's positions and their number may depend on the …

We are interested in the dynamic of a structured branching population where the trait of each
individual moves according to a Markov process. The rate of division of each individual is a …

Protein polymerization consists in the aggregation of single monomers into polymers that
may fragment. Fibrils assembly is a key process in amyloid diseases. Up to now, protein …

In most biological studies and processes, cell proliferation and population dynamics play an
essential role. Due to this ubiquity, a multitude of mathematical models has been developed …

Cancer is primarily a disease of the physiological control on cell population proliferation.
Tissue proliferation relies on the cell division cycle: one cell becomes two after a sequence …

We consider the linear growth and fragmentation equation: with general coefficients τ, β and
κ. Under suitable conditions (see Doumic Jauffret and Gabriel, 2010 [1]), the first eigenvalue …

We consider the growth-fragmentation equation and we address the problem of estimating
the division rate from the stable size distribution of the population, which is easily measured …

We are interested in the long-time asymptotic behavior of growth-fragmentation equations
with a nonlinear growth term. We present examples for which we can prove either the …