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Ca2+plays an important role in cell signal transduction.Its intracellular propagation is the most basic process of Ca2+signaling,such as calcium wave and double messenger system.In this work,with both numerical simulation and mean field ansatz,the three-dimensional probability distribution of Ca2+,which is read out by phosphorylation,is studied in two scenarios with boundaries.The coverage of distribution of Ca2+is found at an order of magnitude of μm,which is consistent with experimental observed calcium spike and wave.Our results suggest that the double messenger system may occur in the ER-PM junction to acquire great efficiency.The buffer effect of kinase is also discussed by calculating the average position of phosphorylations and free Ca2+.The results are helpful to understand the mechanism of Ca2+signaling.