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 …

During the past several years mathematical models have been applied to various aspects of
cancer dynamics, in particular avascular and vascular tumour growth, invasion …

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 propose a coupled mathematical modelling system to investigate glioblastoma growth in
response to dynamic changes in chemical and haemodynamic microenvironments caused …

Objectives: Gliomas are an important form of brain cancer, with high mortality rate.
Mathematical models are often used to understand and predict their behaviour. However …

Gliomas are the most common primary brain tumors and yet almost incurable due mainly to
their great invasion capability. This represents a challenge to present clinical oncology …

Glioma is a broad class of brain and spinal cord tumors arising from glia cells, which are the
main brain cells that can develop into neoplasms. They are highly invasive and lead to …

We consider the multiscale model for glioma growth introduced in (Math. Biosci. Eng. 71:
443–460, 2016) to accommodate tumor heterogeneity by relying on the go-or-grow …

Background and objectives: Glioblastoma multiforme (GBM) is one of the most aggressive
cancers of the central nervous system. It is characterized by a high mitotic activity and an …

Gliomas, the most aggressive form of brain cancer, are known for their widespread invasion
into the tissue near the tumor lesion. Exponential models, which have been widely used in …