Tel.: +49 (0)631 205 5324
My research is on mathematical modelling and analysis of wound healing and scar formation. A multiscale model class is developed, in oder to describe the evolution of the involved cell population densities and the influence of soluble and insoluble environmental cues. The models are to be investigated mathematically, with a focus on well-posedness and qualitative properties of solutions.
Tel.: +49 (0)631 205 5328
My research primarily focuses on the mathematical analysis of reaction-diffusion systems which are a class of parabolic partial differential equations. The reaction-diffusion mechanism has been widely used to mathematically model a large variety of spatiotemporal physical phenomena such as ecological systems, tissue regeneration, and the growth of carcinogenic cells. A mathematical analysis of such models provides a qualitative description of the behaviour of the phenomenon and can also be used to provide estimates of various events that can have an effect on its functioning.
Tel.: +49 631 205 5321