Background: Understanding spinal biomechanics is essential for exploring the functions of the spine and the pathogenesis of related diseases. Traditional numerical methods for biomechanical analysis are computationally expensive, while Physics-Informed Neural Network (PINN) struggles with complex solid geometries. This study develops an Enhanced Physics-Informed Neural Network that integrates Geometric Features (EPINN-GF) to address these limitations in predicting stress distribution for the complex spinal geometries. Study objectives: The primary objective of this study is to improve both the accuracy and efficiency of predicting stress distributions in the complex spinal geometries using the proposed EPINN-GF framework. The secondary objective is to facilitate the clinical translation to support the diagnosis, surgical planning, and personalized treatment for the spinal disorders, particularly Adolescent Idiopathic Scoliosis (AIS). Methods: This study proposes EPINN-GF, which innovatively integrates geometric features and dual loss constraints. Specifically, the eigenvectors of the Laplacian operator, derived from spinal geometry coordinates, are utilized to capture both global and local structural characteristics of the spine. These eigenvectors, along with their corresponding normalized coordinates, serve as inputs to EPINN-GF. Furthermore, the equilibrium equations, which describe the balance between internal and external forces acting on the material, are embedded in the network's loss function. Results: Experimental results demonstrate the superiority of EPINN-GF in spinal stress prediction, with a mean squared error (MSE) of 227.59 MPa compared to 398.41 MPa, 271.43 MPa, and 343.61 MPa for Collocationbased PINN (C-PINN), Graph Neural Network (GNN), and Deep Energy Method (DEM), respectively. Despite the training time of 1917.71 s for the EPINN-GF, which is slightly longer than those of 1713.03 s and 1883.68 s for C-PINN and GNN, respectively, it achieves higher stress prediction accuracy, making it a promising tool for spinal disease diagnosis and modeling complex physical systems. Conclusions: EPINN-GF accurately predicts stress in the geometrically complex spinal regions and multi-physical environments, offering the potential clinical value for the spinal disorders by enabling personalized treatment planning, optimizing surgical strategies, and supporting early AIS progression prediction.
基金:
National Natural Science Foundation of China [62063034, 62463031]
语种:
外文
WOS:
中科院(CAS)分区:
出版当年[2025]版:
无
最新[2025]版:
大类|2 区医学
小类|2 区计算机:跨学科应用2 区计算机:理论方法2 区工程:生物医学3 区医学:信息
JCR分区:
出版当年[2024]版:
Q1COMPUTER SCIENCE, THEORY & METHODSQ1MEDICAL INFORMATICSQ2COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONSQ2ENGINEERING, BIOMEDICAL
最新[2024]版:
Q1COMPUTER SCIENCE, THEORY & METHODSQ1MEDICAL INFORMATICSQ2COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONSQ2ENGINEERING, BIOMEDICAL
第一作者机构:[1]Yunnan Univ, Dept Elect Engn, Kunming, Peoples R China
通讯作者:
推荐引用方式(GB/T 7714):
Zhang Yue,Zhang Junhua,Li Hongjian,et al.EPINN-GF: An enhanced physics-informed neural network integrating geometric features for stress prediction in complex spinal geometries[J].COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE.2025,271:doi:10.1016/j.cmpb.2025.109044.
APA:
Zhang, Yue,Zhang, Junhua,Li, Hongjian&Wang, Qiyang.(2025).EPINN-GF: An enhanced physics-informed neural network integrating geometric features for stress prediction in complex spinal geometries.COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE,271,
MLA:
Zhang, Yue,et al."EPINN-GF: An enhanced physics-informed neural network integrating geometric features for stress prediction in complex spinal geometries".COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 271.(2025)