Abstract :A recent study on implantology reported a statistical linear correlation between two measures at the bone-implant interface: Periotest evaluation of the damping effect at the interface and resonance frequency analysis. The publication formulated a linear function of the dependent variable, the Periotest value (PTV), to the independent variable, the implant stability quotient value, by homogenizing the density of bone blocks and thoroughly controlling the engaged depth of implants inserted into these blocks. A correlation such as this can be mathematically explained using a second-order differential equation to describe a mechanical vibration model in physics; free vibration with damping. Although several clinical studies have found no significant correlation between the two values, it is important to investigate the reasons for the discrepancy between theory and experimental results in order to understand the nature of the bone around an implant.