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. The transformation of theimplant into osseous material, and the dynamical formation/destruction of thisosseous material is accounted for by creation and destruction of links andsites in two, entangled, networks. We identify the relevant parameters todescribe the implant and its evolution, and separate their biological orchemical origin from their physical one. We classify the various phenomena inthe two regimes, percolating or non-percolating, of the networks. We presentfirst numerical results in two dimensions.
展开▼
