We propose a study of Mu dynamics and the low temperature Mu$^0$-like states in TiO$_{2}$ under near-IR illumination to investigate the resulting excitonic states and behaviour. This proposed work will shed light on the role and effects that the hydrogen impurity plays in the significant conductivity enhancement under IR illumination as well as changes to the shallow donor state detected below 10K. These proposed measurements also provide a test of MuSR?s ability to function as an experimentally accessible analogue to the early time history of hydrogen impurities in an excited state.