Skip to main content

Advertisement

Log in

Computational framework for population-based evaluation of TKR-implanted patellofemoral joint mechanics

  • Original Paper
  • Published:
Biomechanics and Modeling in Mechanobiology Aims and scope Submit manuscript

Abstract

Differences in patient anatomy are known to influence joint mechanics. Accordingly, intersubject anatomical variation is an important consideration when assessing the design of joint replacement implants. The objective of this study was to develop a computational workflow to perform population-based evaluations of total knee replacement implant mechanics considering variation in patient anatomy and to assess the potential for an efficient sampling strategy to support design phase screening analyses. The approach generated virtual subject anatomies using a statistical shape model of the knee and performed virtual implantation to size and align the implants. A finite-element analysis simulated a deep knee bend activity and predicted patellofemoral (PF) mechanics. The study predicted bounds of performance for kinematics and contact mechanics and investigated relationships between patient factors and outputs. For example, the patella was less flexed throughout the deep knee bend activity for patients with an alta patellar alignment. The results also showed the PF range of motions in AP and ML were generally larger with increasing femoral component size. Comparison of the 10–90% bounds between sampling strategies agreed reasonably, suggesting that Latin Hypercube sampling can be used for initial screening evaluations and followed up by more intensive Monte Carlo simulation for refined designs. The platform demonstrated a functional workflow to consider variation in joint anatomy to support robust implant design.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Al-Dirini RMA, O’Rourke D, Huff D, Martelli S, Taylor M (2018) Biomechanical robustness of a contemporary cementless stem to surgical variation in stem size and position. J Biomech Eng 140(9):091007

    Article  Google Scholar 

  • Al-Dirini RMA, Martelli S, O’Rourke D, Huff D, Zhang J, Clement JG, Besier T, Taylor M (2019) Virtual trial to evaluate the robustness of cementless femoral stems to patient and surgical variation. J Biomech 82:346–356

    Article  Google Scholar 

  • Ali AA, Shalhoub AA, Cyr AJ, Fitzpatrick CK, Maletsky LP, Rullkoetter PJ, Shelburne KB (2016) Validation of predicted patellofemoral mechanics in a finite element model of the healthy and cruciate-deficient knee. J Biomech 49(2):302–309

    Article  Google Scholar 

  • Ali AA, Harris MD, Shalhoub S, Maletsky LP, Rullkoetter PJ, Shelburne KB (2017) Combined measurement and modeling of specimen-specific knee mechanics for healthy and ACL-deficient Conditions. J Biomech 57:117–124. https://doi.org/10.1016/j.jbiomech.2017.04.008

    Article  Google Scholar 

  • Amis AA, Senavongse W, Bull AM (2006) Patellofemoral kinematics during knee flexion-extension: an in vitro study. J Orthop Res 24(12):2201–2211

    Article  Google Scholar 

  • Bah MT, Shi JF, Heller MO, Suchier Y, Lefebvre F, Young P, King L, Dunlop DG, Boettcher M, Draper E, Browne M (2015a) Inter-subject variability effects on the primary stability of a short cementless femoral stem. J Biomech 48:1032–1042

    Article  Google Scholar 

  • Bah MT, Shi JF, Browne M, Suchier Y, Lefebvre F, Young P, King L, Dunlop DG, Heller MO (2015b) Exploring inter-subject anatomic variability using a population of patient-specific femurs and a statistical shape and intensity model. Med Eng Phys 37:995–1007

    Article  Google Scholar 

  • Baldwin MA, Clary C, Maletsky LP, Rullkoetter PJ (2009a) Verification of predicted specimen-specific natural and implanted patellofemoral kinematics during simulated deep knee bend. J Biomech 42(14):2341–2348

    Article  Google Scholar 

  • Baldwin MA, Laz PJ, Stowe JQ, Rullkoetter PJ (2009b) Efficient probabilistic representation of tibiofemoral soft tissue constraint. Comput Meth Biomech Biomed Eng 12(6):651–659

    Article  Google Scholar 

  • Baldwin MA, Clary C, Fitzpatrick CK, Deacy JS, Maletsky LP, Rullkoetter PJ (2012) Dynamic finite element knee simulation for evaluation of knee replacement mechanics. J Biomech 45(3):474–483

    Article  Google Scholar 

  • Bryan R, Mohan PS, Hopkins A, Galloway F, Taylor M, Nair PB (2010) Statistical modeling of the whole human femur incorporating geometric and material properties. Med Eng Phys 32:57–65

    Article  Google Scholar 

  • Bull AM, Kessler O, Alam M, Amis AA (2008) Changes in knee kinematics reflect the articular geometry after arthroplasty. Clin Orthop Relat Res 466(10):2491–2499

    Article  Google Scholar 

  • Clary C, Aram L, Deffenbaugh D, Heldreth M (2014) Tibial base design and patient morphology affecting tibial coverage and rotational alignment after total knee arthroplasty. Knee Surg Sports Traumatol Arthrosc 22(12):3012–3018. https://doi.org/10.1007/s00167-014-3402-x

    Article  Google Scholar 

  • Dai Y, Bischoff JE (2013) Comprehensive assessment of tibial plateau morphology in total knee arthroplasty: influence of shape and size on anthropometric variability. J Orthop Res 31:1643–1652

    Article  Google Scholar 

  • Dennis DA, Kim RH, Johnson DR, Springer BD, Fehring TK, Sharma A (2011) Control matched evaluation of painful patellar crepitus after total knee arthroplasty. Clin Orthop Relat Res 439:10–17

    Article  Google Scholar 

  • Fitzpatrick C, FitzPatrick D, Lee J, Auger D (2007) Statistical design of unicompartmental tibial implants and comparison with current devices. Knee 14(2):138–144

    Article  Google Scholar 

  • Fitzpatrick CK, Baldwin MA, Laz PJ, FitzPatrick DP, Lerner A, Rullkoetter PJ (2011) Development of a statistical shape model of the patellofemoral joint for investigating relationships between shape and function. J Biomech 44:2446–2452

    Article  Google Scholar 

  • Fitzpatrick CK, Clary CW, Laz PJ, Rullkoetter PJ (2012a) Relative contributions of design, alignment, and loading variability in knee replacement mechanics. J Orthop Res 30(12):2015–2024

    Article  Google Scholar 

  • Fitzpatrick CK, Baldwin MA, Clary CW, Wright A, Laz PJ, Rullkoetter PJ (2012b) Identifying alignment parameters affecting implanted patellofemoral mechanics. J Orthop Res 30(7):1167–1175

    Article  Google Scholar 

  • Galloway F, Worsley P, Stokes M, Nair P, Taylor M (2012) Development of a statistical model of knee kinetics for applications in pre-clinical testing. J Biomech 45(1):191–195. https://doi.org/10.1016/j.jbiomech.2011.09.009

    Article  Google Scholar 

  • Galloway F, Kahnt M, Ramm H, Worsley P, Zachow S, Nair P, Taylor M (2013) A large scale finite element study of a cementless osseointegrated tibial tray. J Biomech 46(11):1900–1906

    Article  Google Scholar 

  • Halloran JP, Clary CW, Maletsky LP, Taylor M, Petrella AJ, Rullkoetter PJ (2010) Verification of predicted knee replacement kinematics during simulated gait in the Kansas knee simulator. J Biomech Eng 132(8):081010

    Article  Google Scholar 

  • Insall J, Salvati E (1971) Patella position in the normal knee joint. Radiology 101:101–104

    Article  Google Scholar 

  • Kurtz S, Ong K, Lau E, Mowat F, Halpern M (2007) Projections of primary and revision hip and knee arthroplasty in the United States from 2005 to 2030. J Bone Joint Surg Am 89(4):780–785

    Article  Google Scholar 

  • Kutzner I, Heinlein B, Graichen F, Bender A, Rohlmann A, Halder A, Beier A, Bergmann G (2010) Loading of the knee joint during activities of daily living measured in vivo in five subjects. J Biomech 43:2164–2173

    Article  Google Scholar 

  • Lawrence RC, Felson DT, Helmick CG, Arnold LM, Choi H, Deyo RA, Gabriel S, Hirsch R, Hochberg MC, Hunder GG, Jordan JM, Katz JN, Kremers HM, Wolfe F, Workgroup National Arthritis Data (2008) Estimates of the prevalence of arthritis and other rheumatic conditions in the United States, Part II. Arthritis Rheum 8(1):26–35

    Article  Google Scholar 

  • Mahfouz M, Abdel Fatah EE, Bowers LS, Scuderi G (2012) Three-dimensional morphology of the knee reveals ethnic differences. Clin Orthop Relat Res 470(1):172–185. https://doi.org/10.1007/s11999-011-2089-2

    Article  Google Scholar 

  • Murphy L, Schwartz TA, Helmick CG, Renner JB, Tudor G, Koch G, Dragomir A, Kalsbeek WD, Luta G, Jordan JM (2008) Lifetime risk of symptomatic knee osteoarthritis. Arthritis Rheum 59(9):1207–1213

    Article  Google Scholar 

  • O’Rourke D, Bottema M, Taylor M (2019) Sampling strategies for approximating patient variability in population-based finite element studies of total hip replacement. Int J Numer Meth Biomed Eng 35:e3168

    Article  Google Scholar 

  • Osteoarthritis Initiative. www.oai.ucsf.edu

  • Putman S, Boureau F, Girard J, Migaud H, Pasquier G (2019) Patellar complications after total knee arthroplasty. Orthop Traumatol Surg Res 105:S43–S51

    Article  Google Scholar 

  • Rao C, Fitzpatrick CK, Rullkoetter PJ, Kim R, Maletsky LP, Laz PJ (2013) A statistical finite element modeling approach accounting for intersubject shape and alignment variability in the knee. Med Eng Phys 35:1450–1456

    Article  Google Scholar 

  • Shalhoub, S, Fitzwater F, Maletsky L (2013) Cadaveric evaluation of knee joint kinematics using the kansas knee simulator. In: ASME 2013 conference on frontiers in medical devices: applications of computer modeling and simulation. American Society of Mechanical Engineers

  • Smoger LM, Fitzpatrick CK, Clary CW, Cyr AJ, Maletsky LP, Rullkoetter PJ, Laz PJ (2015) Statistical modeling to characterize relationships between knee anatomy and kinematics. J Orthop Res 33(11):1620–1630

    Article  Google Scholar 

  • Taylor M, Bryan R, Galloway F (2013) Accounting for patient variability in finite element analysis of the intact and implanted hip and knee: a review. Int J Numer Meth Biomed Eng 29:273–292

    Article  Google Scholar 

  • Yang YM, Rueckert D, Bull AM (2008) Predicting the shapes of bones at a joint: application to the shoulder. Comput Meth Biomech Biomed Eng 11(1):19–30

    Article  Google Scholar 

  • Yang CC, Dennis DA, Davenport PG, Kim RH, Miner TM, Johnson DR, Laz PJ (2017) Patellar component design influences size selection and coverage. Knee 24(2):460–467

    Article  Google Scholar 

  • Zhang J, Fernandez J, Hislop-Jambrich J, Besier TF (2016) Lower limb estimation from sparse landmarks using an articulated shape model. J Biomech 49(16):3875–3881

    Article  Google Scholar 

Download references

Acknowledgement

This research was supported in part by the National Science Foundation (CBET-1034251), National Institutes of Health (Grant Number: 1R01EB015497-01) and DePuy Synthes, a Johnson & Johnson Company.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peter J. Laz.

Ethics declarations

Ethical approval

For the population model, the study used cadaveric data, publically available data from the Osteoarthritis Initiative and de-identified data, and was categorized as exempt by the University of Denver Institutional Review Board. With regard to the implant size data for the clinical subjects, the study (ID: 1480194-1) was reviewed and approved by the Catholic Health Initiatives Institute for Research and Innovation Institutional Review Board (CHIRB). The implant size data were deidentified, and no patient information was transferred.

Conflict of interest

Disclosures for the authors are as follows: A.A. Ali, L.M. Smoger and C.K. Fitzpatrick have no conflicts of interest to report. P.J. Laz, C.W. Clary and P.J. Rullkoetter have received institutional support from DePuy Synthes. C.W. Clary and P.J. Rullkoetter have served as consultants for DePuy Synthes. D.A. Dennis has received royalties from DePuy Synthes and Innomed, and received honorariums and served as a consultant for DePuy Synthes and Corin. He reports owning stock or stock options in Joint Vue and receiving research or institutional support from DePuy Synthes and Porter Adventist Hospital.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ali, A.A., Clary, C.W., Smoger, L.M. et al. Computational framework for population-based evaluation of TKR-implanted patellofemoral joint mechanics. Biomech Model Mechanobiol 19, 1309–1317 (2020). https://doi.org/10.1007/s10237-020-01295-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10237-020-01295-7

Keywords

Navigation