A simple and effective 1D-element discrete-based method for computational bone remodeling.

Area of Science:

• Computational biomechanics
• Orthopedic research
• Materials science

Background:

• In-silico models are crucial for studying bone mechanics, diseases, and treatments.
• Existing methods for bone remodeling can be computationally intensive.
• Efficient discretization of complex trabecular structures remains a challenge.

Purpose of the Study:

• To propose a new, efficient methodology for solving bone remodeling problems.
• To utilize one-dimensional (1D) elements for improved discretization of trabecular bone.
• To reduce computational costs associated with in-silico bone remodeling simulations.

Main Methods:

• Developed a novel methodology using 1D elements for trabecular structure discretization.
• Coupled an Euler integration scheme with momentum equations to track material density evolution.
• Employed the finite element method (FEM) to solve the governing equations.
• Validated the approach using benchmark tests and analyzing proximal femur and calcaneus bone structures.

Main Results:

• The proposed methodology efficiently optimizes lattice structure topologies.
• It accurately predicts the formation patterns of major trabecular groups in femur and calcaneus.
• Benchmark tests demonstrated characteristics similar to topological optimization algorithms.
• Significant reduction in computational cost was achieved compared to traditional methods.

Conclusions:

• The presented approach is efficient and suitable for bone remodeling simulations.
• It offers a valuable tool for understanding trabecular bone formation.
• The methodology shows potential for applications in bio-inspired design and topological optimization.