Glioblastoma extensively infiltrates the brain; despite surgery and aggressive therapies, the
prognosis is poor. A multidisciplinary approach combining mathematical, clinical and …

Although mathematical modeling is a mainstay for industrial and many scientific studies,
such approaches have found little application in neurosurgery. However, the fusion of …

We report a mathematical model which depicts the spatiotemporal dynamics of glioma cells,
macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno …

Tumors in humans are believed to be caused by a sequence of genetic abnormality.
Understanding these sequences is important for improving cancer treatments. Biologists …

The proposed mathematical model describes how glioma cells evolve and survive the brief
encounter with the immune system mediated by macrophages and the tumor specific CD8+ …

The parallel space-time adaptivity techniques for solving a cancer invasion model are
investigated in the present work. Mathematically, the model comprises three coupled …

The PD‐1 immune checkpoint‐based therapy has emerged as a promising therapy strategy
for treating the malignant brain tumor glioblastoma (GBM). However, patient response varies …

Three-dimensional finite element computations of a cancer invasion model with nonlinear
density-dependent diffusion and haptotactic sensitivity function are presented. The nonlinear …

The integrated in silico–in vitro–in vivo approaches have fostered the development of new
treatment strategies for glioblastoma patients and improved diagnosis, establishing the …

Background A new transcranial focused ultrasound device has been developed that can
induce hyperthermia in a large tissue volume. The purpose of this work is to investigate …