A structured population model for stem cell maturation.
Philipp Getto,
(BCAM)
Miercoles 28 de abril 2010
We are developing new models to describe maturation processes of stem cell
populations and in particular the mechanisms that regulate these
processes. We formulate such models as population models with maturity
structure. Due to regulation mechanisms such models are quasi-linear and
thus mathematically challenging. We analyze these models in a recently
developed framework of Delay Equations, meaning integral equations with a
continuous history dependence involved. The aim is to detect, via
linearization, mechanisms that can explain the stability of
population-dynamical equilibria.