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Geometric Variations in Load-Bearing Joints Open Access


Other title
patellofemoral pain, cartilage, contact stress, talus, implants, finite element analysis
Type of item
Degree grantor
University of Alberta
Author or creator
Islam, Kamrul
Supervisor and department
Duke, Kajsa (Department of Mechanical Engineering)
Adeeb, Samer (Department of Civil and Environmental Engineering)
Examining committee member and department
Belhamadia, Youssef (Mathematics)
El-Rich, Marwan (Department of Civil and Environmental Engineering)
Department of Civil and Environmental Engineering
Structural Engineering
Date accepted
Graduation date
Master of Science
Degree level
The purpose of the current study was to investigate the geometric variations in the load-bearing joints among individuals. Two existing concepts in mathematics were introduced and their application in computational biomechanics was completely novel: 1) computing the depth of penetration between contact objects as an indirect measure of stress; and 2) computing the geometric similarity using the cubic root of volumetric ratio as a scaling law. Furthermore, an alternative geometric method to finite element analysis was proposed, which should be considered as a “proof of concept”. This study demonstrated three novel results: 1) contrary to the current literature, the lateral aspect of the patellofemoral joint is not the sole indicator of PFPS; 2) the talus bones of the ankle joints are geometrically similar within a certain range of deviation; and 3) A standardized sizing for the talus bone implants which can fit all patients associated with traumatic talus bone injury.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication
Islam, K., Adeeb, S.M., El-Rich, M. and Ronsky, J.L. (2011), “On Estimating Penetration Depth of the Patellofemoral Joint”, Proceedings of the 12th Alberta BME Conference, October 22-24, 2011, The Banff Centre, Banff, Canada.Islam, K., Dobbe, A., Adeeb, S.M., El-Rich, M., Duke, K., Jomha, N.M. (2012), “Computer Methods for Designing Artificial Talus Bone in Ankle Joint”, the 36th Annual Meeting of the American Society of Biomechanics (ASB2012), August 15-18, 2012, Florida, USA.

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