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Applied Physics A: Materials Science & Processing 106 (2012) 635-644
Double site-bond percolation model for biomaterial implants
Hubert Mély1, J.F. Mathiot1

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 the implant into osseous material, and the dynamical formation/destruction of this osseous material is accounted for by creation and destruction of links and sites in two, entangled, networks. We identify the relevant parameters to describe the implant and its evolution, and separate their biological or chemical origin from their physical one. We classify the various phenomena in the two regimes, percolating or nonpercolating, of the networks. We present first numerical results in two dimensions.
1 :  LPC - Laboratoire de Physique Corpusculaire [Clermont-Ferrand]
Laboratoire de Physique Corpusculaire
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