Philipp Getto: Delay differential equations describing the maturation of cell populations

Tid: To 2018-11-08 kl 14.00 - 14.45

Föreläsare: Philipp Getto, TU - Technische Universität Dresden

Plats: Seminar Hall Kuskvillan, Institut Mittag-Leffler

The talk will be on certain differential equations that describe maturation processes of cell populations. The basic model can be formulated as a PDE of transport type that has analogies with well-known size structured population models. In the present case integration along the characteristics can be performed and the dynamics can be described by a differential equation with state-dependent delay, the latter due to the regulation of the maturation process by the mature cell population. Results on well-posedness and stability with respect to initial conditions will be presented.