Biomaterials play an important role in many medical applications. To know how they evolve once inserted in the human body is essential to improve them and to create new ones. For this purpose, we have elaborated a two dimensional model for the transformation of biomaterial into bone. For this model, we have used the percolation theory. This general theory accounts for the transmision of information across an environment in wich a huge number of sites relay localy this piece of information. We present a double site-bond percolation model to account, on the one hand, for the vascularization (and/or resorption) of biomaterial implant in bones and, on the other hand, for its mechanical continuity. We identify the relevant parameters to describe the implant and its evolution, and separate their biological or chimical origin from their physical one. We classify the various phenomena in two regimes, percolating or non-percolating, which concern the two stages before and after the vascularization of the implant. We have tested our simulation by comparing them with experimental results obtained withcoral implants. We have studied how the various parameters of our model can influence each stage of the process. This simulation can also be applied to different types of implants. We show that a three dimensional model is possible by transposing the static part of our simulation.
