Student
Charlie Cameron

Charlie graduated with a Masters in Mathematical Modelling from the University of Exeter in 2022

Charlie graduated with a Masters in Mathematical Modelling from the University of Exeter in 2022, specialising in areas of Biology and Medicine. His Masters project involved studying the phenomena of self-organised vegetative patterns seen in semi-arid environments. He studied the reaction-diffusion partial differential model involving numerical analysis, bifurcation theory and extensive coding. Charlie has a keen interest in areas of numerical modelling, PDE’s, numerical analysis and applying this to areas in mathematical biology. Outside of Maths he enjoys camping, scuba diving and rugby. 

Project title:
Development of spatial hybrid modelling frameworks in biological systems

Supervisor(s):
Kit Yates and Cameron Smith (University of Oxford)

Project description:
My research focuses on developing spatial hybrid models for biological systems, specifically combining mesoscopic stochastic compartmental methods with macroscopic PDE-based approaches. The goal is to create an adaptive modelling framework capable of dynamically balancing accuracy and computational efficiency, depending on particle concentration. This approach is particularly useful for studying reaction-diffusion systems and phenomena such as wound healing, excitable media, and Turing patterns. The hybrid model aims to capture stochastic fluctuations in regions with low particle numbers while maintaining efficiency in other areas of the system.