Abstract: Objective To investigate the influence of hyperbolic paraboloid spatial structure on the mechanical properties of personalized titanium mesh. Methods Virtual bone augmentations were performed using 3-Matic 15 software on 3D models of the mandibles of patients with alveolar ridge resorption. The bone augmentations were performed with hyperbolic paraboloid structure and approximate alveolar ridge structure, respectively. Personalized titanium meshes with pore shapes of circular, triangular, quadrilateral, and hexagonal, and thicknesses of 0.2 mm, 0.3 mm, and 0.4 mm were fabricated. Finite element analysis models were constructed, applying the forces and constraints. The stress and displacement of titanium mesh in each group were analyzed. Results Under the same thickness, the stresses and displacements of the hyperbolic paraboloid titanium mesh with different pore structures were significantly lower than those of the approximate alveolar ridge titanium mesh; as the thickness decreased, the stress and displacement of titanium mesh in each group significantly increased. Conclusion This spatial structure of hyperbolic paraboloid can distribute the stress uniformly, reduce the stress concentration of the personalized titanium mesh, decrease displacement of the titanium mesh after loading, allowing the titanium mesh to combine good mechanical properties and thinner thickness, reducing irritation to soft tissues and the risk of titanium mesh exposure.

Key words: Hyperbolic paraboloid, Personalized titanium mesh, Guided bone regeneration, 3D finite element analysis, Bone augmentation