This work presents a framework for modeling three-dimensional scaffold-mediated bone regeneration and the associated optimization problem. By incorporating microstructure into the model through periodic homogenization, we capture the effects of microscale fluctuations on the bone growth process. Numerical results and optimized scaffold designs that explicitly account for the microstructure are presented, demonstrating the potential of this approach for improving scaffold performance.

翻译：本研究提出了一个用于模拟三维支架介导骨再生及相关优化问题的框架。通过周期性均匀化方法将微观结构纳入模型，我们捕捉了微观尺度波动对骨生长过程的影响。本文展示了明确考虑微观结构的数值结果与优化支架设计，证明了该方法在提升支架性能方面的潜力。