Micelles are formed during the phase transition. Usually the phase transition is not abrupt. It is stretched according to the concentration of the surfactant or polyelectrolyte. Therefore, the rate of dilution or concentration is not particularly problematic. Sometimes it is necessary to construct a curve of the change in the heat effect during micelle formation. Here they are trying to determine the beginning of the rise in temperature and its completion. Therefore, they try to get more points for the curve.
Dear all, this is a huge area of computational and theoritical analysis, simply you are dealing with 'kinetics of micelle formation', so all factors included are of importance. Many investigations are based on the thermodynamique of diffusion with respect to concentration. Google search using the keyword 'kinetics of micelles formation' resulted in the following documents. My Regards