title: Modelling by percolation theory of the behaviour of natural coral used as bone substitute.
abstract: We investigate the relevance of site-bond percolation theory to model the resorption and ossification of natural coral implanted in bones. The first step of the process is the vascularization of the implant seen here as a percolation threshold. The resorption and ossification can thus take place by activation of unoccupied sites. We compare our results with previously obtained experimental data on implants in porcine cortical bones. Very encouraging results are obtained.
authors.affiliation: Department of Quantum Science and Energy Engineering, Graduate School of Engineering, Tohoku University, Aoba-ku, Aramaki, Aza-Aoba 01, Sendai 980-8579, Japan. yves.barbotteau@qse.tohoku.ac.jp
authors.forename: Y
authors.initials: Y
authors.lastname: Barbotteau
authors.forename: J L
authors.initials: JL
authors.lastname: Irigaray
authors.forename: J F
authors.initials: JF
authors.lastname: Mathiot
mesh_terms: D000042:Absorption; D000818:Animals; D037421:Anthozoa / Q000737:chemistry*; D018786:Bone Substitutes / Q000737:chemistry / Q000378:metabolism* / Q000627:therapeutic use; D001842:Bone and Bones / Q000098:blood supply / Q000737:chemistry / Q000166:cytology* / Q000502:physiology*; D004058:Diffusion; D006801:Humans; D008954:Models, Biological; D008956:Models, Chemical; D015233:Models, Statistical; D018919:Neovascularization, Physiologic / Q000502:physiology; D016348:Osseointegration / Q000502:physiology*; D010539:Permeability; D016062:Porosity
chemical_list: D018786:Bone Substitutes