Research objectives and content
Conventional mathematical models of tumor growth exist in the framework of continuum mechanics. In this framework the system is modeled with diffusion convection equations, considering an accidental and/or directed spread of tumor cells depending on the state of the disease. The interaction between the tumor cells, the host environment and the immune cells occurs at a cellular level. Models considering these interactions at a microscopic level with the goal to derive macroscopic observables, such as tumor size, are currently under development. This method is derived from kinetic theory. We propose to further develop the kinetic model type in order to create simulation tools for the optimization of treatment plans in cancer therapy.
Training content (objective, benefit and expected impact)
The entire model is a hybrid of a kinetic model and a population dynamic model (the latter due to evolution equations describing the interacting cell populations). A scientific exchange of knowledge between researchers being specialized in one | of the two model types is desirable. Sabine Stvcker will apply her experience in population dynamics to the field of cellular biology, and thereby gain new experience in kinetic theory. Links with industry / industrial relevance (22)
Simulation software for tumor treatment is relevant for hospitals and for the pharmaceutical industry for optimizing treatment plans.