Document Type : RESEARCH PAPER
Orthopedic Research Center, Ghaem Hospital, Mashhad University of Medical Sciences, Mashhad, Iran
Objectives: 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 com plex calculation process in acquired
Methods: 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.
Results: Based on the results, the following proportionality can estimate the length of the short limb in skeletal
maturity. (ΔLm/ΔL = ΔSm/ΔS)
Conclusion: 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.
Level of evidence: II