PTPRF and glioblastoma: In this paper, we develop and analyze a mathematical model that explores simultaneously the interlinked action of: (1) the miR-451-AMPK-mTOR-cell cycle signaling network, (2) LAR-CSGAG receptor dynamics of cell-ECM adhesion, and (3) a complex biomechanical hybrid processes involving microglia and astrocytes in GBM.