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arXiv · 1103.1461

Bright Solitary Waves in Malignant Gliomas

Víctor M. Pérez-García·Gabriel F. Calvo·Juan Belmonte-Beitia·D. Diego·Luis Pérez-Romasanta
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Abstract

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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Víctor M. Pérez-García, Gabriel F. Calvo, Juan Belmonte-Beitia, D. Diego, Luis Pérez-Romasanta. 2011-03-08. Bright Solitary Waves in Malignant Gliomas. https://doi.org/10.1103/physreve.84.021921

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