We put forward a nonlinear wave model describing the fundamental dynamical features of an aggressive type of brain tumors. Our model accounts for the invasion of normal tissue by a proliferating and propagating rim of active glioma cancer cells in the tumor boundary and the subsequent formation of a necrotic core. By resorting to numerical simulations, phase space analysis, and exact solutions we prove that bright solitary tumor waves develop in such systems. Possible implications of our model as a tool to extract relevant patient specific tumor parameters in combination with standard preoperative clinical imaging are also discussed.
Physical Review E
- Pub Date:
- August 2011
- Spatiotemporal pattern formation in cellular populations;
- General theory and mathematical aspects;
- Nonlinear Sciences - Pattern Formation and Solitons;
- Quantitative Biology - Cell Behavior;