2011/03/08 by Víctor M. Pérez‐García, Víctor M. Pérez-García, Gabriel F. Calvo +5 · 49 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Advanced Fiber Laser Technologies #Cancer research #Glioma #Mathematical Biology Tumor Growth #Medicine #Microtubule and mitosis dynamics #msc:37N25 #msc:92C50 #nlin.PS #q-bio.CB
paper · pdf · doi:10.1103/physreve.84.021921
published in Physical Review E 84(2), 021921 (American Physical Society)
arxiv created 2011/03/08 · openalex publication_date 2011/08/19 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.