RESEARCH PAPER
Mathematical models in the evaluation of weight distribution asymmetry in lower limbs: Implication for practice
 
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1
School of Rehabilitation, Faculty of Health Sciences, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia
 
2
Faculty of Health Sciences, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia
 
3
Department of Orthopedic and Traumatology, Faculty of Medicine, University Kebangsaan Malaysia Medical Centre, Kuala Lumpur, Malaysia
 
 
Submission date: 2016-04-27
 
 
Acceptance date: 2016-08-16
 
 
Online publication date: 2016-11-10
 
 
Publication date: 2019-12-19
 
 
Corresponding author
Baharudin Omar   

Faculty of Health Sciences, Universiti Kebangsaan Malaysia, Jalan Raja Muda Abdul Aziz, 50300 Kuala Lumpur, Malaysia. Tel.: +60 176996429.
 
 
Pol. Ann. Med. 2017;24(2):148-152
 
KEYWORDS
ABSTRACT
Introduction:
Mathematical models quantify asymmetry in weight distribution on bilateral lower limbs using indexes or ratios.

Aim:
This study investigates the efficacy of mathematical models to evaluate weight distribution asymmetry in healthy and different clinical populations.

Material and methods:
This cross-sectional study recruited 188 participants (149 healthy, 27 stroke and 12 unilateral total knee replacement) through convenience sampling for this study. Two digital weighing scales were used to capture the loading on bilateral lower limbs. The data is further computed with different mathematical models.

Results and discussion:
The symmetry index model has problems of inflation with increasing asymmetry values. Symmetry ratio model exhibits low sensitivity to differences in weight distribution, and did not provide the magnitude and direction of absolute weight distribution asymmetry. The direction of the asymmetry is not meaningful from the symmetry angle model, and it fails to predict factual asymmetry values.

Conclusions:
Modified symmetry index has better sensitivity to differences in bilateral lower limb weight distribution and is able to quantify the extent of asymmetries and identifies the side of asymmetry. Based on the study results, we suggest the application of the mathematical models to quantify limb loading in the following order: modified symmetry index, symmetry index, symmetry angle, and symmetry ratio for clinical or research practice.

ACKNOWLEDGEMENTS
We thank Dr. Leonard Henry Joseph for his guidance and assistance with study administration. Ministry of higher education fund supported this study – ERGS grant (ERGS/1/ 2013/SKK10/UKM/02/2[70TD$DIF]). The grant funding had no role in the study design, data collection, analysis, or writing of this manuscript.
CONFLICT OF INTEREST
None of the authors have a potential conflict of interest related to the manuscript or the work it describes.
 
REFERENCES (13)
1.
Talis VL, Grishin AA, Solopova IA, Oskanyan TL, Belenky VE, Ivanenko YP. Asymmetric leg loading during sit-to-stand, walking and quiet standing in patients after unilateral total hip replacement surgery. Clin Biomech. 2008;23(4):424–433.
 
2.
Cheng PT, Wu SH, Liaw MY, Wong AM, Tang FT. Symmetrical body-weight distribution training in stroke patients and its effect on fall prevention. Arch Phys Med Rehabil. 2001;82(12):1650–1654.
 
3.
Harato K, Nagura T, Matsumoto H, Otani T, Toyama Y, Suda Y. Extension limitation in standing affects weight-bearing asymmetry after unilateral total knee arthroplasty. J Arthroplasty. 2010;25(2):225–229.
 
4.
Schmid M, Beltrami G, Zambarbieri D, Verni G. Centre of pressure displacements in trans-femoral amputees during gait. Gait Posture. 2005;21(3):255–262.
 
5.
Hurkmans HL, Bussmann JB, Benda E, Verhaar JA, Stam HJ. Techniques for measuring weight bearing during standing and walking. Clin Biomech (Bristol Avon). 2003;18(7):576–589.
 
6.
Kumar NS, Omar B, Joseph LH, et al. Accuracy of a digital weight scale relative to the Nintendo Wii in measuring limb load asymmetry. J Phys Ther Sci. 2014;26(8):1205.
 
7.
Kumar SN, Omar B, Joseph LH. Evaluation of limb load asymmetry using two new mathematical models. Glob J Health Sci. 2014;7(2):1.
 
8.
Robinson RO, Herzog W, Nigg BM. Use of force platform variables to quantify the effects of chiropractic manipulation on gait symmetry. J Manipulative Physiol Ther. 1987;10(4):172–176.
 
9.
Pereira LC, Botelho AC, Martins EF. Relationships between body symmetry during weight-bearing and functional reach among chronic hemiparetic patients. Braz J Phys Ther. 2010;14(3):259–266.
 
10.
Zifchock RA, Davis I, Higginson J, Royer T. The symmetry angle: a novel, robust method of quantifying asymmetry. Gait Posture. 2008;27(4):622–627.
 
11.
Kumar SN, Omar B, Htwe O, et al. Reliability, agreement, and validity of digital weighing scale with MatScan in limb load measurement. J Rehabil Res Dev. 2014;51(4):591–598.
 
12.
Herzog W, Nigg BM, Read LJ, Olsson E. Asymmetries in ground reaction force patterns in normal human gait. Med Sci Sports Exerc. 1989;21(1):110–114.
 
13.
Wall JC, Turnbull GI. Gait asymmetries in residual hemiplegia. Arch Phys Med Rehabil. 1986;67(8):550–553.
 
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