Glioblastoma is known to be among one of the deadliest brain tumors in the world today.
There have been major improvements in the detection of cancerous cells in the twenty-first …

Reaction-diffusion based tumor growth models have been widely used in the literature for
modeling the growth of brain gliomas. Lately, recent models have started integrating medical …

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

Gliomas, the most common of primary brain tumors, are known for their widespread invasion
of tissue near the gross tumor mass. My research was based on my mentor's focus on …

A practical mathematical model for glioblastomas (brain tumours), which incorporates the
two key parameters of tumour growth, namely the cancer cell diffusion and the cell …

This paper is a natural three-dimensional extension of a simple two-dimensional
mathematical model of glioma growth and diffusion. The model was originally constructed to …

Inter-individual heterogeneity of tumors leads to non-effectiveness of unique therapy plans.
This issue has caused a growing interest in the field of personalized medicine and its …

This paper presents a content based modified reaction diffusion (RD) equation for modeling
glioma growth. The reaction diffusion equation is modified by a weighted parameter that …

Objectives: Glioblastomas are aggressive primary brain cancers that are characterized by
extensive infiltration into the brain and are highly resistant to treatment. Through …

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 …