Mariya Ptashnyk

Intercellular signalling processes play crucial role in the interactions and communication between cells in a biological tissue and are involved in all physiological activities of the cells, e.g. division, movement, immune response, tissue development. In the multiscale modelling of intercellular signalling pathways, we consider the dynamics of signalling molecules and cell membrane receptors on the level of a single cell. Using multiscale analysis techniques, we derive macroscopic tissue level description of the intercellular signalling processes. The two-scale bulk-surface finite element method is used for the approximation and numerical simulation of the macroscopic models. To analyse the interplay between the signalling pathways and mechanics, we consider a two-way coupling between the chemical processes and elastic deformations of cells.