{"title":"通过量化形态和密度分布评估退行性脊椎骨的骨强度和骨折行为","authors":"Meng Zhang \n (, ), He Gong \n (, ), Ming Zhang \n (, )","doi":"10.1007/s10409-024-24016-x","DOIUrl":null,"url":null,"abstract":"<div><p>Lumbar degeneration leads to changes in geometry and density distribution of vertebrae, which could further influence the mechanical property and behavior. This study aimed to quantitatively describe the variations in shape and density distribution for degenerated vertebrae by statistical models, and utilized the specific statistical shape model (SSM)/statistical appearance model (SAM) modes to assess compressive strength and fracture behavior. Highly detailed SSM and SAM were developed based on the 75 L1 vertebrae of elderly men, and their variations in shape and density distribution were quantified with principal component (PC) modes. All vertebrae were classified into mild (<i>n</i> = 22), moderate (<i>n</i> = 29), and severe (<i>n</i> = 24) groups according to the overall degree of degeneration. Quantitative computed tomography-based finite element analysis was used to calculate compressive strength for each L1 vertebra, and the associations between compressive strength and PC modes were evaluated by multivariable linear regression (MLR). Moreover, the distributions of equivalent plastic strain (PEEQ) for the vertebrae assigned with the first modes of SSM and SAM at mean ± 3SD were investigated. The Leave-One-Out analysis showed that our SSM and SAM had good performance, with mean absolute errors of 0.335±0.084 mm and 64.610±26.620 mg/cm<sup>3</sup>, respectively. A reasonable accuracy of bone strength prediction was achieved by using four PC modes (SSM 1, SAM 1, SAM 4, and SAM 5) to construct the MLR model. Furthermore, the PEEQ values were more sensitive to degeneration-related variations of density distribution than those of morphology. The density variations may change the deformity type (compression deformity or wedge deformity), which further affects the fracture pattern. Statistical models can identify the morphology and density variations in degenerative vertebrae, and the SSM/SAM modes could be used to assess compressive strength and fracture behavior. The above findings have implications for assisting clinicians in pathological diagnosis, fracture risk assessment, implant design, and preoperative planning.\n</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":null,"pages":null},"PeriodicalIF":3.8000,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Assessment of bone strength and fracture behavior of degenerative vertebrae through quantifying morphology and density distribution\",\"authors\":\"Meng Zhang \\n (, ), He Gong \\n (, ), Ming Zhang \\n (, )\",\"doi\":\"10.1007/s10409-024-24016-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Lumbar degeneration leads to changes in geometry and density distribution of vertebrae, which could further influence the mechanical property and behavior. This study aimed to quantitatively describe the variations in shape and density distribution for degenerated vertebrae by statistical models, and utilized the specific statistical shape model (SSM)/statistical appearance model (SAM) modes to assess compressive strength and fracture behavior. Highly detailed SSM and SAM were developed based on the 75 L1 vertebrae of elderly men, and their variations in shape and density distribution were quantified with principal component (PC) modes. All vertebrae were classified into mild (<i>n</i> = 22), moderate (<i>n</i> = 29), and severe (<i>n</i> = 24) groups according to the overall degree of degeneration. Quantitative computed tomography-based finite element analysis was used to calculate compressive strength for each L1 vertebra, and the associations between compressive strength and PC modes were evaluated by multivariable linear regression (MLR). Moreover, the distributions of equivalent plastic strain (PEEQ) for the vertebrae assigned with the first modes of SSM and SAM at mean ± 3SD were investigated. The Leave-One-Out analysis showed that our SSM and SAM had good performance, with mean absolute errors of 0.335±0.084 mm and 64.610±26.620 mg/cm<sup>3</sup>, respectively. A reasonable accuracy of bone strength prediction was achieved by using four PC modes (SSM 1, SAM 1, SAM 4, and SAM 5) to construct the MLR model. Furthermore, the PEEQ values were more sensitive to degeneration-related variations of density distribution than those of morphology. The density variations may change the deformity type (compression deformity or wedge deformity), which further affects the fracture pattern. Statistical models can identify the morphology and density variations in degenerative vertebrae, and the SSM/SAM modes could be used to assess compressive strength and fracture behavior. 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引用次数: 0
摘要
腰椎退变导致椎体的几何形状和密度分布发生变化,从而进一步影响其力学性能和行为。本研究旨在通过统计模型定量描述退化椎体的形状和密度分布变化,并利用特定的统计形状模型(SSM)/统计外观模型(SAM)模式评估抗压强度和断裂行为。以 75 个老年男性 L1 椎骨为基础,建立了高度详细的 SSM 和 SAM,并利用主成分(PC)模式量化了其形状和密度分布的变化。根据总体退化程度,将所有椎骨分为轻度组(22 个)、中度组(29 个)和重度组(24 个)。采用基于计算机断层扫描的有限元定量分析计算每个 L1 椎体的抗压强度,并通过多变量线性回归(MLR)评估抗压强度与 PC 模式之间的关联。此外,还研究了SSM和SAM第一模式椎体的等效塑性应变(PEEQ)分布(平均值±3SD)。留空分析表明,我们的 SSM 和 SAM 性能良好,平均绝对误差分别为 0.335±0.084 mm 和 64.610±26.620 mg/cm3。通过使用四种 PC 模式(SSM 1、SAM 1、SAM 4 和 SAM 5)构建 MLR 模型,骨强度预测达到了合理的准确度。此外,与形态相比,PEEQ 值对与退化相关的密度分布变化更为敏感。密度变化可能会改变畸形类型(压缩畸形或楔形畸形),从而进一步影响骨折模式。统计模型可识别退行性脊椎的形态和密度变化,SSM/SAM 模式可用于评估抗压强度和骨折行为。上述发现对帮助临床医生进行病理诊断、骨折风险评估、植入物设计和术前规划具有重要意义。
Assessment of bone strength and fracture behavior of degenerative vertebrae through quantifying morphology and density distribution
Lumbar degeneration leads to changes in geometry and density distribution of vertebrae, which could further influence the mechanical property and behavior. This study aimed to quantitatively describe the variations in shape and density distribution for degenerated vertebrae by statistical models, and utilized the specific statistical shape model (SSM)/statistical appearance model (SAM) modes to assess compressive strength and fracture behavior. Highly detailed SSM and SAM were developed based on the 75 L1 vertebrae of elderly men, and their variations in shape and density distribution were quantified with principal component (PC) modes. All vertebrae were classified into mild (n = 22), moderate (n = 29), and severe (n = 24) groups according to the overall degree of degeneration. Quantitative computed tomography-based finite element analysis was used to calculate compressive strength for each L1 vertebra, and the associations between compressive strength and PC modes were evaluated by multivariable linear regression (MLR). Moreover, the distributions of equivalent plastic strain (PEEQ) for the vertebrae assigned with the first modes of SSM and SAM at mean ± 3SD were investigated. The Leave-One-Out analysis showed that our SSM and SAM had good performance, with mean absolute errors of 0.335±0.084 mm and 64.610±26.620 mg/cm3, respectively. A reasonable accuracy of bone strength prediction was achieved by using four PC modes (SSM 1, SAM 1, SAM 4, and SAM 5) to construct the MLR model. Furthermore, the PEEQ values were more sensitive to degeneration-related variations of density distribution than those of morphology. The density variations may change the deformity type (compression deformity or wedge deformity), which further affects the fracture pattern. Statistical models can identify the morphology and density variations in degenerative vertebrae, and the SSM/SAM modes could be used to assess compressive strength and fracture behavior. The above findings have implications for assisting clinicians in pathological diagnosis, fracture risk assessment, implant design, and preoperative planning.
期刊介绍:
Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences.
Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences.
In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest.
Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics