Title: Reaction-Diffusion Models for Glioma Tumor Growth,
Abstract: Mathematical modelling of tumor growth is one of the most useful and
inexpensive approaches to determine and predict the stage, size and progression
of tumors in realistic geometries. Moreover, these models has been used to get
an insight into cancer growth and invasion and in the analysis of tumor size
and geometry for applications in cancer treatment and surgical planning. The
present revision attempts to present a general perspective of the use of models
based on reaction-diffusion equations not only for the description of tumor
growth in gliomas, addressing for processes such as tumor heterogeneity,
hypoxia, dormancy and necrosis, but also its potential use as a tool in
designing optimized and patient specific therapies.