| My research interests are: |
| Mathematical modelling in biology, especially different aspects of developmental and molecular biology, such as morphogenesis. |
| Mathematical modelling of pattern formation including informations on processes on micro-scale level. |
| Partial differential equations, in particular reaction-diffusion systems. |
| Mechanisms of pattern formation such as travelling waves, bistability, hysteresis and diffusion-driven instabilities. |
| Analysis and numerics of degenerate reaction-diffusion systems, i.e. reaction-diffusion equations coupled with ordinary differential equations (receptor-based models). |
| Modelling of tumour growth, spread and heterogeneity. |
| Multiscale analysis (homogenisation). |
| Spatial and stochastic effects of signaling systems in immunology (TNFa signaling system, RSV/VSV spread, role of interferon). |
| Structured models in biology. |
| My current research work is devoted to the following biological applications: |
| Self-organisation and regeneration in developmental biology systems (with Thomas Holstein). |
| Early carcinigenesis, role of growth factors and mutualism (with Marek Kimmel). |
| Stem cells differentiation, in partcular influence of the aging processes on the dynamics of stem cells and hematopoietic reconstitution after chemotherapy and transplantation of stem cells (with Wolfgang Wagner and Anthony Ho). |
| Influence of Heat Shock Proteins (HSPs) on neoplastic cell transformations (with Zuzanna Szymanska and Maciej Zylicz). |
| Dynamics of Tumour Necrosis Factor (TNF alpha) in macrophages (with Alexei Gratchev). |
| Innate immunity response and its influence on viral replication and spread in laboratory systems (with Marek Kimmel and Philipp Getto). |
