Identification of the periodontal ligament material parameters using response surface method

Yang Song; Jinglan Gao; Chenxi Qi; Dehai Liu; Hongbiao Xiang; Mian Zhang; Xiuping Yang; Chunqiu Zhang

doi:10.1016/j.medengphy.2023.103974

Identification of the periodontal ligament material parameters using response surface method

Med Eng Phys. 2023 Apr:114:103974. doi: 10.1016/j.medengphy.2023.103974. Epub 2023 Mar 29.

Authors

Yang Song¹, Jinglan Gao², Chenxi Qi², Dehai Liu², Hongbiao Xiang², Mian Zhang², Xiuping Yang², Chunqiu Zhang³

Affiliations

¹ Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China; National Demonstration Center for Experimental Mechanical and Electrical Engineering Education, Tianjin University of Technology, China. Electronic address: songyang2661@sina.com.
² Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China; National Demonstration Center for Experimental Mechanical and Electrical Engineering Education, Tianjin University of Technology, China.
³ Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China; National Demonstration Center for Experimental Mechanical and Electrical Engineering Education, Tianjin University of Technology, China. Electronic address: zhang_chunqiu@126.com.

PMID: 37030897
DOI: 10.1016/j.medengphy.2023.103974

Abstract

The orthodontic treatment can be guided by the finite element (FE) simulation of periodontal ligament (PDL) mechanical properties, and the biomimetic degree of FE simulation can be primarily affected by the material properties of the PDL. According to the principle of parameter inverse, a method: response surface (RS) method and FE inverse method were proposed to identify the material parameters of PDL. The Prony series viscoelastic FE model was established based on the relaxation experiment. With root mean square error of simulation results and experimental results as the objective function, the optimal parameter combination was obtained by RS method, and the FE simulation result were compared with the experimental result. The result showed that the optimal parameters of the PDL were elastic modulus: 3.791 MPa, Poisson's ratio: 0.42, temperature: 29.294°C separately, and the simulation result of optimal combination maintained consistency with experiment with the correlation coefficient of 0.97258, indicating that the method proposed in this paper could well identify of PDL material parameters. The parameter identification method used in this paper can significantly improve the calculation efficiency, and reduce the parameter identification error compared with the simple FE inverse method, which has scientific significance and theoretical value.

Keywords: Biomechanics; Materials parameters; Periodontal ligament; Response surface method; Reverse parameters.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Biomechanical Phenomena
Computer Simulation
Finite Element Analysis
Models, Biological*
Periodontal Ligament* / physiology
Stress, Mechanical