创新的脊柱数学模型:利用椎体测量法测量的棘突三维位置预测 Cobb 角和椎间角

IF 1.8 Q3 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Algorithms Pub Date : 2024-03-25 DOI:10.3390/a17040134
A. Gabriel, Cláudia Quaresma, P. Vieira
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引用次数: 0

摘要

背痛通常与脊柱的生物力学变化有关。评估脊柱生物力学的传统方法使用电离辐射。Vertebral Metrics(VM)是作者在以前的研究中开发的一种非侵入式仪器,可以评估棘突的位置。然而,VM 使用的脊柱模型并不准确。为了克服这一问题,本文通过 VM 收集到的数据,提出了一个开创性的、简单的脊柱关节模型。该模型基于弹簧-质量系统,使用 Levenberg-Marquardt 算法来寻找椎体的排列。当四肢椎体静止时,它将脊柱表示为从一个椎体到另一个椎体的刚性几何变换。验证过程中使用了布兰德-阿尔特曼方法,将模型计算出的 Cobb 角和椎体间角度与 8 名被诊断为强直性脊柱炎患者的影像学检查结果进行比较。结果表明,该模型是有效的;但是,由于研究显示 C6 的旋转会对计算角度产生轻微影响,因此先前的临床信息可以通过定制上下椎体的位置来改善结果。利用新模型应用虚拟医学可以在预防、监测和早期诊断脊柱疾病方面发挥重要作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An Innovative Mathematical Model of the Spine: Predicting Cobb and Intervertebral Angles Using the 3D Position of the Spinous Processes Measured by Vertebral Metrics
Back pain is regularly associated with biomechanical changes in the spine. The traditional methods to assess spine biomechanics use ionising radiation. Vertebral Metrics (VM) is a non-invasive instrument developed by the authors in previous research that assesses the spinous processes’ position. However, the spine model used by VM is not accurate. To overcome it, the present paper proposes a pioneering and simple articulated model of the spine built through the data collected by VM. The model is based on the spring–mass system and uses the Levenberg–Marquardt algorithm to find the arrangement of vertebral bodies. It represents the spine as rigid geometric transformations from one vertebra to the other when the extremity vertebrae are stationary. The validation process used the Bland–Altman method to compare the Cobb and the intervertebral angles computed by the model with the radiographic exams of eight patients diagnosed with Ankylosing Spondylitis. The results suggest that the model is valid; however, previous clinical information would improve outcomes by customising the lower and upper vertebrae positions, since the study revealed that the C6 rotation slightly influences the computed angles. Applying VM with the new model could make a difference in preventing, monitoring, and early diagnosing spinal disorders.
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来源期刊
Algorithms
Algorithms Mathematics-Numerical Analysis
CiteScore
4.10
自引率
4.30%
发文量
394
审稿时长
11 weeks
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