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Starting from kinetic transport equations and subcellular dynamics we deducea multiscale model for glioma invasion relying on the go-or-grow dichotomy andthe influence of vasculature, acidity, and brain tissue anisotropy. Numericalsimulations are performed for this model with multiple taxis, in order toassess the solution behavior under several scenarios of taxis and growth fortumor and endothelial cells. An extension of the model to incorporate themacroscopic evolution of normal tissue and necrotic matter allows us to performtumor grading.

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