Mathematical Modelling of Tumour Growth and Anti-cancer Therapy

My work is in the area of Mathematical biology and I currently work in the StAMBio group at the University of St Andrews, supervised by Prof Mark Chaplain and Dr Tommaso Lorenzi. I am funded by the School of Mathematics and Statistics. I am looking into mathematical modelling of tumour growth and anti-cancer therapy and my PhD project will focus on mechanochemical models of pattern formation and tumour invasion, studied both analytically and numerically.

Mathematical Modelling of Phenotypic Selection of Tumour Cells

I have previous research experience from a summer internship in the School of Mathematics and Statistics in the University of St Andrews, supervised by Dr Tommaso Lorenzi. I have considered a deterministic model involving a system of non-local partial differential equations (PDEs) used to describe and study adaptive dynamics of tumour cells, leading to the selection of phenotypic variants due to environmental factors. Phenotypic heterogeneity is often responsible for failure of cancer treatment and relapse. The use of mathematical models to describe the phenotypic landscape of a solid tumour may complement experimental research and eventually be of help for better treatment design. I have explored both analytical and numerical solutions to the model. A paper is almost ready!

Mathematical Modelling of Tumour-Induced Angiogenesis

During my undergraduate studies, I have explored the early models formulated to study tumour-induced angiogenesis. Angiogenesis is the formation of a new vascular network from pre-existing blood vessels and is a key step in cancer progression as it allows the tumour to metastasise. I was supervised by Prof Mark Chaplain during my final year project.

Document currently beign reviewed