Mathematical Theory of Radiation Transport: Nuclear Technology Frontiers (MaThRad)

Nuclear technology is, by definition, based on the principle of subatomic physics and the interaction of radiation particles with materials. Whilst the microscopic behaviour of such systems is well understood, the degree of inhomogeneity involved means that the ability to predict the flux of particles through complex physical environments on the macroscopic (human) scale is a significant challenge. This lies at the heart of how some of the most important technologies for the twenty-first century are designed, regulated and operated.

This five-year interdisciplinary programme of research will combine modern mathematical methods from probability theory, advanced Monte Carlo methods and inverse problems to develop novel approaches to the theory and application of radiation transport. The program aims to advance foundational research while translating these discoveries into practical, predictive models and software prototypes with measurable accuracy, ready for deployment in the energy, healthcare, and space nuclear industries. By bringing together complementary research groups from mathematics, engineering, and medical physics, the grant will foster a sustained accumulation of academic knowledge and expertise. With a diverse team of researchers, the project is poised to drive transformative advancements in radiation modelling, positioning the UK at the forefront of the 21st-century nuclear industry.