In a very recent theoretical study, we showed that simple mitochondrial kinetics, originally proposed by Marhl et al., could be easily used as a plug-in element in other models describing intracellular Ca2+ dynamics. We analysed several previously published models and showed that mitochondria could indeed maintain the constant amplitude of intracellular Ca2+ oscillations very effectively. We also pointed out the importance of amplitude regulation for the frequency encoding of intracellular Ca2+ signals. This paper focuses on giving a more exhaustive demonstration of this phenomenon of frequency encoding for the model of Dupont et al.