  This study concerns the phase transformation kinetics and pertains to the
processes of crystallisation of amorphous polymers, ceramics, and bulk metallic
glasses (BMG), as well as solid state transformations by the nucleation and
growth mechanism. It is also likely to be relevant to the description of
dissolution and precipitation processes, and more generally chemical reaction
kinetics, as well as biochemical processes such as ligand binding, haemoglobin
oxygenation, etc. The mathematical framework is examined of the of the 'knee'
function, or K-function, and its implications are explored.
