Oberseminar Numerik

Detecting the boundary of the braintumor glioblastoma multiforme is a challenging task due to its diffusive nature. To estimate the tumor extent at the current timepoint, we derive a traveling wave formulation of a forward-in-time multiphase tumor model in 1D. Arising challenges are the nonlinearity and the degeneracy of the resulting PDE as well as numerically taking the steep gradient into account. Further unknowns in this formulation are the velocity of the traveling wave as well as the corresponding interval length, which will be tackled by different fixed-point formulations. Numerical experiments will be presented to determine the validity of the method.