Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy

TL;DR

This paper develops a multiscale mathematical model for glioma invasion that incorporates tumor cell behavior, vasculature, acidity, and tissue anisotropy, providing insights into tumor progression and grading through numerical simulations.

Contribution

It introduces a novel multiscale model based on kinetic transport equations that integrates multiple biological factors influencing glioma invasion.

Findings

Model captures tumor invasion dynamics under various taxis scenarios.

Simulation results demonstrate the impact of tissue anisotropy and acidity.

Extension enables tumor grading based on tissue evolution.

Abstract

Starting from kinetic transport equations and subcellular dynamics we deduce a multiscale model for glioma invasion relying on the go-or-grow dichotomy and the influence of vasculature, acidity, and brain tissue anisotropy. Numerical simulations are performed for this model with multiple taxis, in order to assess the solution behavior under several scenarios of taxis and growth for tumor and endothelial cells. An extension of the model to incorporate the macroscopic evolution of normal tissue and necrotic matter allows us to perform tumor grading.