Bright Solitary Waves in Malignant Gliomas

TL;DR

This paper introduces a nonlinear wave model for glioblastomas, demonstrating through simulations and analysis that bright solitary tumor waves can form, providing insights into tumor invasion dynamics.

Contribution

The study presents a novel nonlinear wave model capturing glioblastoma growth and shows the emergence of bright solitary waves in tumor progression.

Findings

Bright solitary tumor waves develop in the model.

Numerical simulations confirm wave formation.

Exact solutions support the wave development.

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.