Bright Solitary Waves in Malignant Gliomas

Details Bright Solitary Waves in Malignant Gliomas Bright Solitary Waves in Malignant Gliomas

2011-03-08

arxiv.org/abs/1103.1461v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We put forward a nonlinear wave model describing the fundamental physio-pathologic features of an aggressive type of brain tumors: glioblastomas. 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.

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