Ein kontinuierlicher Ansatz zur nährstoffbasierten Modellierung von Tumorwachstum und Angiogenese

In the present work an extension of a continuous approach modelling the progression of primary brain tumours is described. The fundamental contribution of this paper is the combination of three different models. The resulting formalism describes the spatiotemporal dynamics of the tumour on the basis of two mechanisms, namely (i) proliferation of new tumour cells and (ii) anisotropic, passive diffusion of cancerous cells into surrounding healthy tissue. The implementation additionally integrates the effect of a lack of nutrients on the mitosis and necrosis as well as a formation of new capillaries.
Careful visual inspection of the results demonstrates that the integration of nutrient based and angiogenic processes into an accepted, continuous formulation is sensible. A (qualitative) comparison to an animal model is subject to future work.