Global 3D parameter of the spine: application of Călugăreanu-White-Fuller theorem in classification of pediatric spinal deformity.
Global 3D parameter of the spine: application of Călugăreanu-White-Fuller theorem in classification of pediatric spinal deformity.
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DOI：
10.1007/s11517-020-02259-w
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发表时间：
2020-12
影响因子：
3.2
通讯作者：
Pasha S
中科院分区：
文献类型：
--
作者：
Arginteanu T;DeTurck D;Pasha S
青少年特发性脊柱侧凸（AIS）的脊柱弯曲的几种分类系统已经被开发出来，以指导手术决策。目前的分类系统是基于一个或两个解剖平面的脊柱畸形模式或畸形程度。考虑到AIS中脊柱畸形的3D性质，这些分类未能完整地捕获脊柱的曲线。我们提出了一种基于轴向平面的分类，并表明使用微分几何对3D脊柱曲线进行的数学分析支持该分类系统中亚型之间的差异。我们计算了30例右胸AIS患者的整个脊柱中心线的扭动和扭曲，这是Cupellugreanu-White-Fuller定理的重要元素。我们还根据胸椎曲线尾侧椎体旋转方向发生变化的椎体水平手动对该队列进行分类：I组为腰椎（V形轴向投影）或II组为胸腰椎（S形轴向投影）。脊柱弯曲的扭动和扭曲在这些手动分类亚组之间有显著差异。我们的手动分类区分了右胸AIS的轴向亚组，并得到了三维整个曲线的数学规范的支持。微分几何学被用来计算脊柱侧弯的脊柱中心线的扭曲，作为一种描述脊柱整体畸形的方法。使用C.L. luglugreanu-White-Fuller定理，将3D脊柱曲线投影到包含脊柱长度的球体上，用于评价脊柱的总体3D畸形。
Several classification systems of the spinal curves in adolescent idiopathic scoliosis (AIS) have been developed to guide surgical decision-making. The current classification systems are based on the spinal deformity patterns or deformity magnitudes in one or two anatomical planes. Considering the 3D nature of the spinal deformity in AIS, these classifications fail to capture the spine’s curve in its entirety. We proposed a classification based on the axial plane and showed that mathematical analysis of the 3D spinal curve, using differential geometry, supports the differences between the subtypes in this classification system. We calculated the writhe and twist of the entire spinal centerline, important elements of the Călugăreanu–White–Fuller theorem, in a cohort of 30 right thoracic AIS patients. We also classified this cohort manually based on the vertebral level at which the direction of vertebral rotation caudal to the thoracic curve changes: Lumbar in Group I (V shaped axial projection) or thoracolumbar in Group II (S shaped axial projection). The writhe and twists of the spinal curve were significantly different between these manual classification subgroups. Our manual classification distinguished the axial subgroups of right thoracic AIS supported by mathematical specifications of the entire curve in three dimensions. Differential geometry was used to calculate the writhe of the spinal centerline in a scoliotic spine as a method that describes the global spinal deformity. Using the Călugăreanu-White-Fuller Theorem, the projection of the 3D spinal curve on a sphere encompassing the length of the spine was used to evaluate the overall 3D deformity of the spine.
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影响因子：
--
作者：
Duong, Luc;Mac-Thiong, Jean-Marc;Labelle, Hubert
通讯作者：
Labelle, Hubert
影响因子：
3.2
作者：
Kadoury, Samuel;Shen, Jesse;Parent, Stefan
通讯作者：
Parent, Stefan
影响因子：
2.8
作者：
Illes, Tamas;Somoskeoey, Szabolcs
通讯作者：
Somoskeoey, Szabolcs
影响因子：
3
作者：
Stokes, Ian A. F.;Sangole, Archana P.;Aubin, Carl-Eric
通讯作者：
Aubin, Carl-Eric
DOI：
10.1098/rspa.2005.1527
发表时间：
2005-10-08
影响因子：
3.5
作者：
Dennis, MR;Hannay, JH
通讯作者：
Hannay, JH