Skip to main content
Article thumbnail
Location of Repository

Bright Solitary Waves in Malignant Gliomas

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

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

Topics: Nonlinear Sciences - Pattern Formation and Solitons, Quantitative Biology - Cell Behavior, 92C50, 37N25
Year: 2011
DOI identifier: 10.1103/PhysRevE.84.021921
OAI identifier: oai:arXiv.org:1103.1461
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1103.1461 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.