Speaker
Van Ha Hoang
(Laboratory Paul Painleve)
Description
(Joint work with Viet Chi Tran, Vincent Rivoirard and Thanh Mai Pham Ngoc)
We consider a size-structured population which represents the cell division. We describe the population by an empirical measure and study the asymptotic behaviour of the measure. Then, we obtain a weak solution of a growth-fragmentation equation in the large popula- tion limit. Finally, we address the problem of estimating the division kernel (or fragmentation kernel) in both case of complete data and case of the stationary distribution approximation.
Keywords: size-structured population, growth-fragmentation equation, division kernel.
Primary author
Van Ha Hoang
(Laboratory Paul Painleve)