Surface Stress: A Factor Influencing Ultra High Molecular Weight Polyethylene Durability in Mobile-bearing Knee Design
Click Here to Manage Email Alerts
Abstract
The continuing global interest in the use of total and unicompartmental mobile-bearing knee designs is manifest by an appreciation of their clinical performance. Like their fixed plateau counterparts, mobile-bearing knees are influenced by patient and surgical variables as well as design, material, and manufacturing choices. This article is a focused description of tibiofemoral surface stress distributions, as a predictor of in vivo material durability for three contemporary designs at positions encountered during daily activity.
The increased use of mobile-bearing knee designs throughout Europe and the Pacific Rim is an indication of their clinical utility despite limited use in the United States (Table 1). Issues of regulatory restriction, the clinical success of fixed plateau designs, suspected technical difficulty, a relatively small number of seminal reports from major teaching centers, and cost are factors that have impeded use in the United States.
Mobile-bearing Knee Design
Mobile-bearing knees represent an optimization of the two extremes of fixed plateau knee design; they offer significant increases in the articulation conformity, distributing the contact stresses that develop, decreasing the prospect of ultra high molecular weight polyethylene (UHMWPE) material damage while through insert mobility, minimizing constraint forces transferred to fixation interfaces (Figure 1).1
However, the construct of dual surface motion, which encourages distal sliding, seems almost intuitive of greater wear volumes. Simulator studies conducted almost 30 years ago demonstrated that the UHMWPE wear loss volume for the low contact stress meniscal-bearing knee design corresponded favorably with contemporary, fixed plateau wear volumes.2 Resolution of this seeming conundrum lies in the fact that determinants of abrasive wear may be characterized by both sliding distance and surface stress distribution, which is described by Rose and Goldfarb3 (Figure 2). A nonlinear relationship is described between increasing surface stress and resulting UHMWPE wear volume.
Contemporary use of finite element analyses enables a visualization of contact areas and surface stress distributions. This article presents these data for two total and one unicompartmental mobile bearing knee designs: the Dual Bearing Knee (Finsbury Orthopaedics Ltd, Leatherhead, United Kingdom), the e.motion (Aesculap, AG & Co KG, Tuttlingen, Germany), and the Oxford unicompartmental Phase 3 (Biomet Ltd, South Wales, UK). The first two systems are not currently available for clinical use in the United States.
Materials and Methods
Finite element analyses. A three-dimensional, finite element model was created for each total knee design by measuring the articular surfaces of implantable quality parts using a laser profilometer. Maximum joint loads and the angle of knee flexion at which they occur were determined through a meta-analysis of the literature for three activities of daily living: heel strike during walking gait (0°),4-9 stair ascent (60°),4,10-12 and rising from a chair (90°).13 For the Oxford unicompartmental Phase 3 design, the positions were simulated with the medial compartment receiving 60% of these stresses (Table 2).14
The loads were applied, and the virtual components were allowed to settle into their preferred alignments without friction or consideration of soft-tissue constraints. To aid in comparison, all polymer inserts were characterized by the same gamma irradiated, nonlinear material of 10-mm thickness maintained at 37° C.15 Contact areas and stresses on the polymer inserts were calculated, and their magnitudes and locations were then photorealistically imaged.
Results
Figures 3 through 5 present the surface stresses from a superior posterior view of the left knee for three contemporary, mobile-bearing knee designs.16-18 These images give an indication of the areas where surface abrasion caused by contact with the femoral component can occur, illustrating that the higher the surface stresses, the greater the propensity for material damage.
Discussion
When comparing the surface stress distributions in Figures 3A, 4A, and 5A to those of a fixed plateau knee design at the heel strike position of walking gait (Figure 6), it is apparent that the tibiofemoral articulating interfaces have been optimized, decreasing the potential for abrasive UHMWPE material damage, a result attributed to the mobility of the tibial insert.
A concern about designs is the potential loss of conformity as the knee flexes beyond heel strike, which is substantially influenced by the J curve of the femoral component. For these three designs, significant conformity is appreciated at 0° during the stance phase of walking gait, a frequently encountered, high-cycle loading activity. With further flexion (Figures 3B and C; 4B and C), the Dual Bearing Knee and e-motion contact areas decrease with concomitant increases in surface stresses, increasing their potential for abrasive damage.
By contrast, this does not occurr in the Oxford unicompartmental Phase 3 design where the J curve gives way to a constant radius of curvature (Figure 5B and C). This also describes differences in design philosophy between contemporary unicompartmental and total mobile-bearing knee systems.
Conclusion
This commentary describes the role of articulation conformity in modulating surface stress distributions across mobile-bearing knee plateaus, contributing to the durability of the UHMWPE component. In 2004, the US Food and Drug Administration (FDA) approved the Oxford meniscal unicompartmental knee Phase 3 system for distribution in the United States where it is realizing clinical utility in situations of medial compartment degenerative arthritis, concomitant with functioning and retained cruciate ligaments. Parenthetically, in June 2004 the USFDA Orthopedic Advisory Panel recommended the reclassification of total mobile-bearing knee systems for general use. This reclassification petition is currently under review at the USFDA.
References
- Greenwald AS, Heim CS. Mobile-bearing knee systems: ultra-high molecular weight polyethylene wear and design issues. Instr Course Lect. 2005; 54:195-205.
- New Jersey Integrated Knee Replacement Systems: IDE (G800037) submitted by DePuy, Inc to the Food and Drug Administration, 1980.
- Rose RM, Goldfarb HV. On the pressure dependence of the wear of ultrahigh molecular weight polyethylene. Wear. 1983; 92:99-111.
- Morrison JB. The mechanics of the knee joint in relation to normal walking. J Biomechanics. 1970; 3:51-61.
- Morrison JB. Function of the knee joint in various activities. Biomed Eng. 1969; 4:573-580.
- Paul JP. Forces transmitted by joints in the human body. Proc Inst Mech Engs. 1967; 181:3-15.
- Murray MP, Drought AB, Kory RC. Walking patterns in normal men. J Bone Joint Surg Am. 1964; 46:335-360.
- LaFortune MA, Cavanaugh PR, Sommer HJ 3rd, Kalenak A. Three-dimensional kinematics of the human knee during walking. J Biomechanics. 1992;25:347-357.
- Apkarian J, Naumann S, Cairns B. A three-dimensional kinematic and dynamic model of the lower limb. J Biomechanics. 1989; 22:143-155.
- Taylor WR, Heller MO, Bergmann G, Duda GN. Tibio-femoral loading during human gait and stair climbing. J Orthop Res. 2004; 22:625-632.
- Costigan PA, Deluzio KJ, Wyss UP. Knee and hip kinetics during normal stair climbing. Gait Posture. 2002; 16:31-37.
- Nagura T, Andriacchi T, Alexander E, Matsumoto H. Muscle co-contraction increases the load on the posterior cruciate ligament during deep knee flexion. In: Transactions of the 49th Annual Meeting of the Orthopaedic Research Society; February 2-5, 2003; New Orleans, La. 28:843.
- Ellis MI, Seedhom BB, Wright V. Forces in the knee joint whilst rising from a seated position. J Biomed Eng. 1984; 6:113-120..
- Daley RE. Measurement of the Distribution of Forces at the Human Knee Joint. [PhD thesis] Columbus, Ohio: Ohio State University; 1975.
- Waldman SD, Bryant JT. Compressive stress relaxation behavior of irradiated ultra-high molecular weight polyethylene at 37 degrees C. J Appl Biomater. 1994; 5:333-338.
- Morra EA, Postak PD, Greenwald AS. Tibial plateau abrasion in mobile bearing knee systems during walking gait: a finite element study. In: Proceedings of the American Academy of Orthopaedic Surgeons Annual Meeting; March 10-14; San Francisco, Calif. 2004; 5:462.
- Morra EA, Greenwald AS. Effects of walking gait on ultra-high molecular weight polyethylene damage in unicompartmental knee systems: a finite element study. J Bone Joint Surg Am. 2003; 85(suppl 4):111-114.
- Morra EA, Greenwald AS. Polymer insert stress in total knee designs during high-flexion activities: a finite element study. J Bone Joint Surg Am. 2005; 87(Suppl 2):120-124.
Authors
Mr Morra, Ms Heim, and Dr Greenwald are from Orthopedic Research Laboratories, Lutheran Hospital, a Cleveland Clinic hospital, Cleveland, Ohio.
Mr Morra, Ms Heim, and Dr Greenwald have no financial interests in the materials mentioned herein.