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 …

Previous studies to simulate brain tumor progression, often investigate either temporal
changes in cancer cell density or the overall tissue-level growth of the tumor mass. Here, we …

Biomechanical forces are central in tumor progression and response to treatment. This
becomes more important in brain cancers where tumors are surrounded by tissues with …

Pennes' bioheat equation is considered one of the most prevalent mathematical equations
used to estimate the temperature profile of a tumor in a human body when subjected to …

Abstract Background and Objective: Modeling of glioma growth and evolution is of key
importance for cancer diagnosis, predicting clinical progression and improving treatment …

Intensive glioma tumor infiltration into the surrounding normal brain tissues is one of the
most critical causes of glioma treatment failure. To quantitatively understand and …

Background Gliomas are the most common types of brain cancer, well known for their
aggressive proliferation and the invasive behavior leading to a high mortality rate. Several …

Biomechanical abnormalities of solid tumours involve stiffening of the tissue and
accumulation of mechanical stresses. Both abnormalities affect cancer cell proliferation and …

Simple Summary Biomechanical forces aggravate brain tumor progression. In this study,
magnetic resonance elastography (MRE) is employed to extract tissue biomechanical …

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 …