The main object of this thesis is the rigorous derivation of continuum models in mechanobiology via multiscale analysis. On the microscopic level, models in terms of energy functionals defined on networks / lattices are considered. Using concepts of Γ-convergence rigorous convergence results as well as explicit homogenisation formulae can be derived. Based on a characterisation via energy funct...

iv computing individual routes in a multi-level building, whereby the developed application is ubiquitously accessible in common browsers via a web-based 3D application. The second applications discussed the utilization of crowdsourced indoor geodata for complex multiagent indoor evacuation simulations. For static aspects of the building and the geometry, IndoorOSM is perfectly suitable, wherea...

This work presents a difference geometric approach to the strongly normal Galois theory of difference equations. In this approach, a system of ordinary difference equations is encoded in a difference extension, and the Galois groups are group schemes of finite type over the constants. The Galois groups need neither be linear nor reduced. The main result is a characterization of the extensions t...