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Bright Solitary Waves in Malignant Gliomas

By Víctor M. Pérez-García, Gabriel F. Calvo, Juan Belmonte-Beitia, D. Diego and Luis Pérez-Romasanta


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

Topics: Nonlinear Sciences - Pattern Formation and Solitons, Quantitative Biology - Cell Behavior, 92C50, 37N25
Year: 2011
DOI identifier: 10.1103/PhysRevE.84.021921
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