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Felix-Klein-Kolloquium | Antrittsvortrag »Modelling cell migration problems: from microscale to multiscale«
30. Oktober 2012, 17:15 - 18:30
Two essential abilities of biological organisms are the interaction with their environment and the movement in their available space. These features are often interdependent and influenced by phenomena taking place at different scales, from the subcellular level up to the behavior of an entire population. The aim of mathematical modeling in this context is to interconnect the various levels in order to make reliable (qualitative and/or quantitative) predictions about the evolution of a population of interest and to verify experimentally based assertions. We present some modeling approaches for cell dispersal, thereby considering a setting based an kinetic equations and an alternative one, which relies on stochastic processes accounting for the underlying motion phenotype and uses a technique allowing to directly assess the macroscopic cell population density from data (if available) or from numerical simulations of the cell trajectories. Same more complex, however related problems for the migration of tumor cells through a tissue network will be adressed as well.