Arithmetic hip-knee-ankle angle (aHKA): An algorithm for estimating constitutional lower limb alignment in the arthritic patient population
Open accessAbstract
Aims: Once knee arthritis and deformity have occurred, it is currently not known how to determine a patient’s constitutional (pre-arthritic) limb alignment. The purpose of this study was to describe and validate the arithmetic hip-knee-ankle (aHKA) algorithm as a straightforward method for preoperative planning and intraoperative restoration of the constitutional limb alignment in total knee arthroplasty (TKA). Methods: A comparative cross-sectional, radiological study was undertaken of 500 normal knees and 500 arthritic knees undergoing TKA. By definition, the aHKA algorithm subtracts the lateral distal femoral angle (LDFA) from the medial proximal tibial angle (MPTA). The mechanical HKA (mHKA) of the normal group was compared to the mHKA of the arthritic group to examine the difference, specifically related to deformity in the latter. The mHKA and aHKA were then compared in the normal group to assess for differences related to joint line convergence. Lastly, the aHKA of both the normal and arthritic groups were compared to test the hypothesis that the aHKA can estimate the constitutional alignment of the limb by sharing a similar centrality and distribution with the normal population. Results: There was a significant difference in means and distributions of the mHKA of the normal group compared to the arthritic group (mean -1.33° (SD 2.34°) vs mean -2.88° (SD 7.39°) respectively; p < 0.001). However, there was no significant difference between normal and arthritic groups using the aHKA (mean -0.87° (SD 2.54°) vs mean -0.77° (SD 2.84°) respectively; p = 0.550). There was no significant difference in the MPTA and LDFA between the normal and arthritic groups. Conclusion: The arithmetic HKA effectively estimated the constitutional alignment of the lower limb after the onset of arthritis in this cross-sectional population-based analysis. This finding is of significant importance to surgeons aiming to restore the constitutional alignment of the lower limb during TKA. Cite this article: Bone Jt Open 2021;2(5):351–358.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The arithmetic hip-knee-ankle angle (aHKA) provides information on the constitutional alignment of the lower limb irrespective of cartilage loss.
“The arithmetic hip-knee-ankle angle (aHKA) [10], providing information on the constitutional alignment of the lower limb irrespective of cartilage loss, and the joint line obliquity (JLO) together comprise the coronal plane alignment of the knee (CPAK) classification [11].”
From Imageless robotic total knee arthroplasty determines similar coronal plane alignment of the knee (CPAK) parameters to long leg radiographs (2024) · cites this paper as [10]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
No references could be resolved yet.
Research works printed but not linked: 22
- [1]Bellemans J, Colyn W, Vandenneucker H, Victor J. The Chitranjan Ranawat Award: is neutral mechanical alignment normal for all patients?: the concept of constitutional varus. Clin Orthop Relat Res. 2012; 470(1): 45– 53. 21656315 PMC3237976
- [2]Hirschmann MT, Hess S, Behrend H, Amsler F, Leclercq V, Moser LB. Phenotyping of hip–knee–ankle angle in young non-osteoarthritic knees provides better understanding of native alignment variability. Knee Surg Sports Traumatol Arthrosc. 2019; 27(5): 1378– 1384. 30968238
- [3]Lin YH, Chang FS, Chen KH, Huang KC, Su K-C. Mismatch between femur and tibia coronal alignment in the knee joint: classification of five lower limb types according to femoral and tibial mechanical alignment. BMC Musculoskelet Disord. 2018; 19(1): 411. 30474544 PMC6260902
- [4]Shetty GM, Mullaji A, Bhayde S, Nha KW, Oh HK. Factors contributing to inherent varus alignment of lower limb in normal Asian adults: role of tibial plateau inclination. Knee. 2014; 21(2): 544– 548. 24139813
- [5]Song MH, Yoo SH, Kang SW, Kim YJ, Park GT, Pyeun YS. Coronal alignment of the lower limb and the incidence of constitutional varus knee in Korean females. Knee Surg Relat Res. 2015; 27(1): 49– 55. 25750894 PMC4349645
- [6]Cerejo R, Dunlop DD, Cahue S, Channin D, Song J, Sharma L. The influence of alignment on risk of knee osteoarthritis progression according to baseline stage of disease. Arthritis & Rheumatism. 2002; 46(10): 2632– 2636. 12384921
- [7]Almaawi AM, Hutt JRB, Masse V, Lavigne M, Vendittoli PA. The impact of mechanical and restricted kinematic alignment on knee anatomy in total knee arthroplasty. J Arthroplasty. 2017; 32(7): 2133– 2140. 28302462
- [8]Calliess T, Bauer K, Stukenborg-Colsman C, Windhagen H, Budde S, Ettinger M. PSI kinematic versus non-PSI mechanical alignment in total knee arthroplasty: a prospective, randomized study. Knee Surg Sports Traumatol Arthrosc. 2017; 25(6): 1743– 1748. 27120192
- [9]Dossett HG, Swartz GJ, Estrada NA, LeFevre GW, Kwasman BG. Kinematically versus mechanically aligned total knee arthroplasty. Orthopedics. 2012; 35(2): e160– 169. 22310400
- [10]Howell SM, Howell SJ, Kuznik KT, Cohen J, Hull ML. Does a kinematically aligned total knee arthroplasty restore function without failure regardless of alignment category? Clin Orthop Relat Res. 2013; 471(3): 1000– 1007. 22996362 PMC3563808
- [11]Howell SM, Papadopoulos S, Kuznik KT, Hull ML. Accurate alignment and high function after kinematically aligned TKA performed with generic instruments. Knee Surg Sports Traumatol Arthrosc. 2013; 21(10): 2271– 2280. 23948721
- [12]Hutt JR, LeBlanc MA, Masse V, Lavigne M, Vendittoli PA. Kinematic TKA using navigation: surgical technique and initial results. Orthopaedics & Traumatology: Surgery & Research. 2016; 102(1): 99– 104. 26776100
- [13]Hutt J, Masse V, Lavigne M, Vendittoli PA. Functional joint line obliquity after kinematic total knee arthroplasty. Int Orthop. 2016; 40(1): 29– 34. 25795248
- [14]McEwen P, Balendra G, Doma K. Medial and lateral gap laxity differential in computer-assisted kinematic total knee arthroplasty. Bone Joint J. 2019; 101-B(3): 331– 339. 30813796
- [15]Waterson HB, Clement ND, Eyres KS, Mandalia VI, Toms AD. The early outcome of kinematic versus mechanical alignment in total knee arthroplasty: a prospective randomised control trial. Bone Joint J. 2016; 98-B(10): 1360– 1368. 27694590
- [16]Young SW, Walker ML, Bayan A, Briant-Evans T, Pavlou P, Farrington B. The Chitranjan S. Ranawat Award: No difference in 2-year functional outcomes using kinematic versus mechanical alignment in TKA: a randomized controlled clinical trial. Clin Orthop Relat Res. 2017; 475(1): 9– 20. 27113595 PMC5174030
- [17]Hirschmann MT, Behrend H. Functional knee phenotypes: a call for a more personalised and individualised approach to total knee arthroplasty? Knee Surg Sports Traumatol Arthrosc. 2018; 26(10): 2873– 2874. 29744530
- [18]MacDessi SJ, Griffiths-Jones W, Harris IA, Bellemans J, Chen DB. The arithmetic HKA predicts the constitutional alignment of the arthritic knee when compared to the normal contralateral knee: a matched-pairs radiographic study. Bone Jt Open. 2020; 1(7): 339– 345. 33215122 PMC7659698
- [19]Paley D, Pfeil J. Principles of deformity correction around the knee. Der Orthopäde. 2000; 29(1): 0018– 0038. 10663243
- [20]Colebatch AN, Hart DJ, Zhai G, Williams FM, Spector TD, Arden NK. Effective measurement of knee alignment using AP knee radiographs. Knee. 2009; 16(1): 42– 45. 18790641
- [21]Cooke TD, Scudamore RA, Li J, Wyss U, Bryant T, Costigan P. Axial lower-limb alignment: comparison of knee geometry in normal volunteers and osteoarthritis patients. Osteoarthritis Cartilage. 1997; 5(1): 39– 47. 9010877
- [22]Cooke TD, Sled EA, Scudamore RA. Frontal plane knee alignment: a call for standardized measurement [Editorial]. J Rheumatol. 2007; 34(9): 1796– 1801. 17787049
Cited by
Sorted by citations
Edelstein, A. I., Orsi, A. D., Plaskos, C., Coffey, S., & Suleiman, L. I. (2024) · Arthroplasty · doi:10.1186/s42836-024-00231-9 · Cited by 11 · see citing works
“In fact, prior study has shown this to be the case within mean 0.5° and standard deviation 1° [10].”
BackgroundInfluential
- Authors
- Griffiths-Jones, W., Chen, D. B., Harris, I. A., Bellemans, J., & MacDessi, S. J.
- Affiliations
- North Devon District Hospital (GB)
- St George Hospital (AU)
- UNSW Sydney (AU)
- Ziekenhuis Oost-Limburg (BE)
- Corresponding author
- MacDessi, Samuel J.
- Venue
- Bone & Joint Open
- Published
- 2021-05-01
- Volume
- 2
- Issue
- 5
- Pages
- 351-358
- ISSN
- 2633-1462 (ISSN-L)
- PMC
- PMC8168548
- OpenAlex
- W3164911748
- Cited by
- 103
- References
- 0
- Citations by year
- 2026: 23 · 2025: 31 · 2024: 27 · 2023: 16 · 2022: 5 · 2020: 1
- FWCI
- 11.28
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Bone & Joint Open (publishedVersion, cc-by-nc-nd)
- PubMed Central (publishedVersion, cc-by-nc-nd)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Topics
- Health Sciences › Medicine › Surgery › Total Knee Arthroplasty Outcomes
- Health Sciences › Medicine › Surgery › Knee injuries and reconstruction techniques
- Physical Sciences › Engineering › Biomedical Engineering › Lower Extremity Biomechanics and Pathologies
- Keywords
- knee osteoarthritis, total knee arthroplasty, distal femoral angle, proximal tibial angle, limb deformity
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review