Glioblastoma (GBM) is an aggressive form of brain cancer that standard treatments do not cure. Life expectancy after diagnosis is not improving for GBMs and there is an urgent need for new treatments and drug delivery methods. One such novel drug delivery system is a paste under development at the Children’s Brain Tumour Research Centre (CBTRC) in Nottingham. In collaboration with the CBTRC, I am creating sophisticated mathematical models to analyse the behaviour of this delivery system with different setups and in different environments, each of which could make use of different mathematical theory.
Currently, I am using a finite element approach to simulate a system of partial differential equations that describe diffusion of chemotherapy drugs through the brain and this novel paste. I am also modelling the drug release dynamics from the paste. This work is being calibrated through in vitro experiments in collaboration with the CBTRC.
The long-term goal of this project is to predict chemotherapy drug efficacy on realistic patient-specific brain geometries against tumour growth and invasion. These simulations can then be used to guide clinicians on optimal application properties for maximum impact on the tumour