Abstract
Background
Scoliosis causes abnormal spinal curvature and torsional rotation of the vertebrae and has implications for human suffering and societal cost. In differential geometry, Writhe describes three-dimensional curvature. Differential geometric quantities can inform better diagnostic metrics of scoliotic deformity. This evaluation could help physicians and researchers study scoliosis and determine treatments.
Methods
Eight adult lumbar spine CT scans were analyzed in custom MATLAB programs to estimate Writhe and Cobb angle. Five patients exhibited scoliotic curvature, and three controls were asymptomatic. Vertebral centroids in three-dimensional space were determined, and Writhe was approximated. A T-test determined whether the affected spines had greater Writhe than the controls. Cohen’s D test was used to determine effect size.
Results
Writhe of scoliotic spines (5.4E-4 ± 2.7E-4) was significantly higher than non-scoliotic spines (8.2E-5 ± 1.1E-4; p = 0.008).
Conclusion
Writhe, a measure of curvature derived from 3D imaging, is significantly greater in scoliotic than in non-scoliotic spines. Future directions must include more subjects and examine writhe as a marker of scoliosis severity, progression, and response to treatment.
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Data availability
The data and custom MATLAB scripts used to segment vertebrae, determine the spine centerline, and evaluate Writheare available upon reasonable request to the corresponding author.
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Acknowledgements
The National Institutes of Health, the Catherine D. Sharpe Foundation, the Kevin and Bernadette McKenna Family Research Fund, and the EpiLog Project.
Funding
Funding for this work was received from the National Institutes of Health (R01AR071975), the Catherine D. Sharpe Foundation, and the Kevin and Bernadette McKenna Family Research Fund.
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TA: Design, conception, data collection, analysis, figure and table creation, writing-original draft preparation, writing-critical revision, approval of final version, and accountable for work. RSG: Data analysis, figure and table creation, writing-original draft preparation, writing-critical revision, approval of final version, and accountable for work. AJB: Data analysis, figure and table creation, writing-original draft preparation, writing-critical revision, approval of final version, and accountable for work. GG: Data analysis, figure and table creation, writing-original draft preparation, writing-critical revision, approval of final version and accountable for work. LS: Data collection and analysis, writing- critical revision, approval of final version, and accountable for work. SP: Conception, data analysis, writing—critical revision, approval of final version, and accountable for work. DT: Design, conception, writing-critical revision, approval of final version, and accountable for work. NRM: Design, conception, data collection and analysis, writing–original draft preparation, writing – critical revision, approval of final version, and accountable for work.
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This study was approved by the IRB at the Hospital of the University of Pennsylvania. IRB number for this study is: 830260. A waiver of informed consent was granted by the University of Pennsylvania IRB as this study was considered to be minimal risk to patients. All ethical guidelines and rules were followed to protect patient privacy.
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Arginteanu, T., Gallagher, R.S., Borja, A.J. et al. Quantifying a novel three-dimensional marker of scoliosis. Spine Deform 12, 231–237 (2024). https://doi.org/10.1007/s43390-023-00752-4
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DOI: https://doi.org/10.1007/s43390-023-00752-4