Tumor growth models based on the FisherKolmogorov reaction-diffusion equation (FK) have
shown convincing results in reproducing and predicting the invasion patterns of gliomas …

In radiotherapy of gliomas, a precise definition of the treatment volume is problematic,
because current imaging modalities reveal only the central part of the tumor with a high …

Glioma, especially glioblastoma, is a leading cause of brain cancer fatality involving highly
invasive and neoplastic growth. Diffusive models of glioma growth use variations of the …

Gliomas are highly invasive primary brain tumors, notorious for their recurrence after
treatment, and are considered uniformly fatal. Confounding progress is the fact that there is a …

Gliomas are primary brain tumours arising from the glial cells of the nervous system. The
diffuse nature of spread, coupled with proximity to critical brain structures, makes treatment a …

Tumor growth models have the potential to model and predict the spatiotemporal evolution
of glioma in individual patients. Infiltration of glioma cells is known to be faster along the …

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 …

Gliomas are a class of rarely curable tumors arising from abnormal glia cells in the human
brain. The understanding of glioma spreading patterns is essential for both radiological …

Glioblastoma (GBM) is both the most common and the most aggressive intra-axial brain
tumor, with a notoriously poor prognosis. To improve this prognosis, it is necessary to …

Studying tumor growth using mathematical models from magnetic resonance (MR) images is
an important application that is believed to play a major role in cancer treatment by …