We consider a linear integro-differential equation which arises to describe both aggregationfragmentation processes and cell division. We prove the existence of a solution (Î»,U , Ï†) to the relatedâ€¦ (More)

We analyze the asymptotic behavior of a partial differential equation (PDE) model for hematopoiesis. This PDE model is derived from the original agent-based model formulated by Roeder (Nat. Med.â€¦ (More)

We consider the linear growth and fragmentation equation âˆ‚ âˆ‚t u(x, t) + âˆ‚ âˆ‚x ( Ï„(x)u ) + Î²(x)u = 2 âˆ« âˆž x Î²(y)Îº(x, y)u(y, t) dy, with general coefficients Ï„, Î² and Îº. Under suitable conditions (seeâ€¦ (More)

We study the mathematical properties of a general model of cell division structured with several internal variables. We begin with a simpler and specific model with two variables, we solve theâ€¦ (More)