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Double site-bond percolation model for biomaterial implants

Abstract : 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.
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Submitted on : Thursday, February 23, 2012 - 4:06:35 PM
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Hubert Mély, Jean-Francois Mathiot. Double site-bond percolation model for biomaterial implants. Applied physics. A, Materials science & processing, Springer Verlag, 2012, 106, pp.635-644. ⟨10.1007/s00339-011-6637-0⟩. ⟨in2p3-00673479⟩

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