Mathematical models have been ubiquitously employed in various applications. One of
these applications that arose in the past few decades is cerebral tumor growth modeling …

In this article, we numerically solve an equation modeling the evolution of the density of
glioma in the brain—the most malignant form of brain tumor quantified in terms of net rates of …

Glioblastoma is the most aggressive and infiltrative glioma, classified as Grade IV, with the
poorest survival rate among patients. Accurate and rigorously tested mechanistic in silico …

Applying diffusive models for simulating the spatiotemporal change of concentration of
tumour cells is a modern application of predictive oncology. Diffusive models are used for …

Objective. Current radiotherapy guidelines for glioma target volume definition recommend a
uniform margin expansion from the gross tumor volume (GTV) to the clinical target volume …

Significant Virtual Physiological Human efforts and projects have been concerned with
cancer modeling, especially in the European Commission Seventh Framework research …

Tumor is characterized by extensive heterogeneity with respect to its microenvironment and
its genetic composition. We extend a previously developed monoclonal continuous spatial …

This article proposes a novel and efficient methodology for the detection of Glioblastoma
tumor in brain MRI images. The proposed method consists of the following stages as …

Glioblastoma multiforme is the most aggressive type of glioma and the most common
malignant primary intra-axial brain tumor. In an effort to predict the evolution of the disease …

Glioma brain tumors exhibit considerably aggressive behavior leading to high mortality
rates. Mathematical modeling of tumor growth aims to explore the interactions between …