Improvement of Anselmeʹs adhesion model for evaluating human osteoblast response to peptide-grafted titanium surfaces

Investigations on the relationships between the properties of biomaterial surfaces and cell adhesion/proliferation processes have recently gained increasing interest. To describe the behaviour of cells adhering and proliferating over different types of (and/or differently treated) substrates, some mathematical models have been also suggested in literature; these models consider both the dependence of cell adhesion/proliferation over time, and the influence of substrate morphology in allowing (or even hampering) cell attachment. Major developments in the biochemical functionalization of the materials used for the production of endosseous devices have been achieved; the ability of the so-called “biomimetic” surfaces to promote cell adhesion, thus favoring the osseointegration process, is already well acknowledged. The aim of this study was to formulate a mathematical model for osteoblast adhesion, mediated by an adhesion peptide (sequence 351–359 mapped on the Human Vitronectin Protein) covalently grafted to a titanium-based surface. To assure a highly homogenous orientation of the peptide to cells, the “specific functionalization” strategy was properly designed. Enzymatic detachment assays allowed comparing osteoblast behaviour over three differently treated titanium substrates (i.e., oxidized, silanized, and peptide-grafted), thus determining how and how much the bioactive peptide can improve the strength of cell adhesion. The results confirmed the capacity of the peptide to increase cell adhesion and adhesion strength; moreover, the role of the peptide was described by a mathematical equation characterizing cells behaviour.