During the fermentation of Bacillus Subtilis it is unperceivable to observe the formation of spores since, following the evolution of spores is time consuming due to various sampling and analytical procedures. Dielectric spectroscopy has shown promising results, where the measured permittivity is correlated with the cell concentration. Most of the existing works focus on determining cell concentration and not on the determination of spores. In this work, we develop a permittivity model for cells in the fermentation solution based on the Cole-Cole equations that can be used to detect the sporulation phase in future work. Utilizing the data from several fermentation runs of Bacillus Subtilis, a superposition hypothesis is proposed. In this hypothesis, the model equations from Cole and Cole (1941) are used and the theoretical permittivity response of the cells is calculated. As a first step, the Cole-Cole model is developed, and the modeled permittivity values are fitted to the measured data and the results are analyzed.