AccScience Publishing / IJB / Online First / DOI: 10.36922/IJB025380381
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RESEARCH ARTICLE
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Optimal structural characteristics of bone tissue engineering scaffolds from bionics and PSO-BP-NSGA III integrated algorithm

Yuxi Liu1,2†* Aihua Li3† Hong Sun1 Shuge Li1 Song Chen4
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1 School of Smart Health, Chongqing Polytechnic University of Electronic Technology, Chongqing 401331, China
2 College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400030, China
3 Department of Gastroenterology, Chongqing University Cancer Hospital, School of Medicine, Chongqing University, Chongqing 400030, China
4 College of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, China
†These authors contributed equally to this work.
Received: 15 September 2025 | Accepted: 25 October 2025 | Published online: 27 October 2025
© 2025 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
Abstract

The repair of large segmental bone defects has always been a great challenge in clinical practice, and the stress-shielding is one of its core challenges. Here, based on the morphological similarity between natural trees and bone trabeculae, tree-like fractal biomimetic scaffolds were created. To optimize the synergy between high yield strength and low elastic modulus of the scaffold, the PSO-BP-NSGA Ⅲ integrated algorithm was employed. SLM 3D printing using Ti6Al4V and testing were conducted, and the test values were compared with those of the integrated algorithm. The tree-like fractal scaffold has the characteristic of radial gradient distribution of porosity similar to natural bone. The scaffolds can achieve effective synergy between yield strength and effective Young's modulus, such as the 2nd-order fractal scaffold, which has significant characteristics of high yield strength and low Young's modulus. The 2nd-order fractal scaffold exhibits favorable fluid flow gradient and permeability, with a comprehensive permeability of 3.13 × 10⁻⁸ m². The relative errors between the test and predicted values of yield strength and Young's modulus are 0.83% and 7.93% respectively, indicating that the PSO-BP-NSGA Ⅲ integrated algorithm has good predictive ability. This study proposes a novel design framework by combining bionics with the integrated algorithm.

Keywords
Multi-objective optimization
Tree-like fractal scaffold
Young’s modulus
Integrated algorithm
Stress-shielding
Funding
This work was supported by the Natural Science Foundation of Chongqing Municipality (Grant No.: CSTB2023NSCQ-MSX0255), Key Project of Science and Technology Research Program of Chongqing Education Commission (Grant No.: KJZD-K202203104), and Project of Science and Technology Research Program of Chongqing Education Commission (Grant No.: KJQN202403112).
Conflict of interest
The authors declare that there is no conflict of interest.
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International Journal of Bioprinting, Electronic ISSN: 2424-8002 Print ISSN: 2424-7723, Published by AccScience Publishing