She moved to Wadham College, Oxford for her graduate studies, where she earned a master's degree in Mathematical Modelling and Numerical Analysis.
[5] The biomedical questions she worked on included fitting mathematical models to positron emission tomography scans to evaluate oxygen and glucose transport and consumption within solid tumours.
[8] She has explored how oxygen levels impact biological function, developing complex models that can describe disease progression.
[10] Byrne was appointed Director of Equality and Diversity in the Mathematical, Physical and Life Sciences (MPLS) Division from 2016 to 2020.
[14] Whilst a graduate student at Oxford, she competed for OUWLRC in the Henley Boat Races in 1990 and 1991, earning a half blue each time.