Analysing bone regeneration using topological optimisation

Abstract

The present article's object is to present the mathematical foundations of topological optimisation aimed at carrying out a study of bone regeneration. Bone structure can be economically adopted to different mechanical demands responding to topological optimisation models (having "minimum" mass and "high" resistance). Such analysis is essential for formulating physical therapy in patients needing partial or total strengthening of a particular bone's tissue structure. A mathematical model is formulated, as are the methods for resolving it.

Keywords

• bony regeneration
• topological optimisation
• mathematical theory