Ca2+ is an ubiquitous intracellular messenger that mediates vital physiological functions in most cell types. Specificity is ensured by the high level of spatio-temporal organisation of the stimulus-triggered Ca2+ increases in the form of oscillations and waves. Modelling can be used to help understanding the molecular mechanisms responsible for these Ca2+ signals, as well as to back-up experimental investigations. In pathological situations, disruptions in Ca2+ homeostasis are often observed. In particular, it has been suggested that during the onset of Alzheimer’s disease, there is a positive feedback loop between intraneuronal Ca2+ and beta amyloids (Ab). By formalizing this loop in a minimal two variable model, we assessed the possible physiological consequences of this hypothesis and showed that it can account for a variety of in vivo observations related to this disease.