Accelerating numerical simulations of strain-adaptive bone remodeling predictions

Bone modeling and remodeling have been extensively studied in many fields of research. The process of adaptive bone remodeling can be described mathematically and simulated in a computer model, integrated with the finite element method (FEM). The FEM can determine the long-term behavior of bone and the impact on bone biomechanics produced by prosthetic models. As whole bone remodeling simulations are time consuming, the aim of this paper is to combine FE analyses with numerical extrapolation techniques to accelerate bone remodeling simulations. Two vector extrapolation methods, reduce ranked extrapolation (RRE) and minimal polynomial extrapolation (MPE), are used to reduce the simulation time. These extrapolation techniques are illustrated by numerical examples of 2D and 3D models based on a strain-adaptive bone remodeling theory.