The identification of a cell population balance model for the fermentation of the lactic acid bacterium Streptococcus thermophilus based on experimental data is addressed. As a starting point, a mass balance model is parameterized and then cell division rates identified exploring data from cell size distribution measurements as well as microscope images. The particular problem lies in the fact that Streptococcus th. grows in chains build up during cell division in dependence on physico-chemical parameters like lactic acid concentration, while cell size distribution (CSD) measurements do not clearly distinguish between cell and chain size. It is shown that, by using a factorized function for the cell division rate that reflects these different effects and can be identified using experimental data, it is possible to obtain an adequately parameterized model that is able to predict the time evolution of the CSD, opening the path for different process monitoring and control schemes.