Abdi Reza, Shahpari Omid, Bagheri Farshid, Zargarbashi Ramin
Orthopedic Research Center, Ghaem Hospital, Mashhad University of Medical Sciences, Mashhad, Iran.
Tehran University of Medical Sciences, Tehran, Iran.
Arch Bone Jt Surg. 2023;11(12):765-769. doi: 10.22038/abjs.2023.67521.3205.
The most critical step in the calculation of final limb length discrepancy (LLD) is estimating the length of the short limb after skeletal maturity(Sm). Paley's multiplier method is a fast, convenient method for calculating Sm and LLD after skeletal maturity; nonetheless, the calculation of the process of Sm and LLD in acquired type cases is complex in contrast to congenital type in this method. Notwithstanding, the multiplier method uses a variable called "growth inhibition" for the calculation process in acquired type LLD; however, its mathematical proof has not been published yet. The present study aims to find out whether there is an alternative way to estimate the length of Sm and LLD in skeletal maturity without using growth inhibition (GI) and its complex calculation process in acquired type LLD.
We used trigonometric equations to prove the GI concept and conducted proportionality analysis to calculate the length of short limbs and LLD in skeletal maturity without using GI.
Based on the results, the following proportionality can estimate the length of the short limb in skeletal maturity. (ΔLm/ΔL = ΔSm/ΔS).
The GI concept can be proved trigonometrically; nonetheless, its numerical value is not necessary for estimating the length of the short limb in skeletal maturity. Instead, a simple proportionality analysis serves the purpose of calculation.
计算最终肢体长度差异(LLD)最关键的步骤是估计骨骼成熟(Sm)后短肢的长度。佩利乘数法是一种计算骨骼成熟后Sm和LLD的快速、简便方法;然而,与先天性类型相比,该方法在后天性类型病例中Sm和LLD的计算过程较为复杂。尽管如此,乘数法在后天性类型LLD的计算过程中使用了一个名为“生长抑制”的变量;然而,其数学证明尚未发表。本研究旨在找出是否存在一种替代方法,在不使用生长抑制(GI)及其在后天性类型LLD中复杂计算过程的情况下估计骨骼成熟时Sm和LLD的长度。
我们使用三角方程来证明GI概念,并进行比例分析以计算骨骼成熟时不使用GI的短肢长度和LLD。
基于结果,以下比例关系可估计骨骼成熟时短肢的长度。(ΔLm/ΔL = ΔSm/ΔS)。
GI概念可以用三角学方法证明;然而,其数值对于估计骨骼成熟时短肢的长度并非必要。相反,简单的比例分析即可达到计算目的。