Pawan Kumar
Büro: 31-360
Tel.: +49 (0)631 205 5319
E-Mail: kumar(at)mathematik.uni-kl.de
My research is concerned with mathematical modeling of glioblastoma patterning. I use a bottom-up multiscale modeling approach involvig systems of ODEs & PDEs, with the goal of deducing a PDE of reaction-diffusion-taxis type for the characterization of macroscopic tumor growth and spread under the influence of the underlying microenvironment. The obtained models are then investigated from the analytical and numerical viewpoints.
Shimi Mohanan
Büro: 31-455
Tel.: +49 (0)631 205 5324
E-Mail:mohanan(at)mathematik.uni-kl.de
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.
Nishith Mohan
Büro: 31-459
Tel.: +49 (0)631 205 5328
E-Mail: mohan(at)mathematik.uni-kl.de
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.
