Three Dimensional Optimization of Scaffold Porosities for Bone Tissue Engineering

TL;DR

This paper addresses the optimization of scaffold porosities in 3D for bone tissue engineering, proving the existence of optimal designs and demonstrating their effectiveness in reducing stress shielding through numerical simulations.

Contribution

It introduces a mathematical framework for optimizing scaffold porosities in 3D bone regeneration models and provides numerical evidence of improved stress distribution.

Findings

Existence of optimal scaffold designs proven mathematically.

Optimized scaffolds reduce stress shielding effects.

Numerical simulations support the effectiveness of the designs.

Abstract

We consider the scaffold design optimization problem associated to the three dimensional, time dependent model for scaffold mediated bone regeneration considered in Dondl et al. (2021). We prove existence of optimal scaffold designs and present numerical evidence that optimized scaffolds mitigate stress shielding effects from exterior fixation of the scaffold at the defect site.