Arithmetic hip-knee-ankle angle and stressed hip-knee-ankle angle: equivalent methods for estimating constitutional lower limb alignment in kinematically aligned total knee arthroplasty
Knee Surgery, Sports Traumatology, Arthroscopy
https://doi.org/10.1007/s00167-022-07038-8
KNEE
Arithmetic hip‑knee‑ankle angle and stressed hip‑knee‑ankle
angle: equivalent methods for estimating constitutional lower limb
alignment in kinematically aligned total knee arthroplasty
Payam Tarassoli2 · Jil A. Wood2 · Darren B. Chen1,2 · Will Griffiths‑Jones1,3 · Johan Bellemans1,4,5 ·
Samuel J. MacDessi1,2,6
Received: 30 January 2022 / Accepted: 1 June 2022
© The Author(s) 2022
Abstract
Purpose Kinematically aligned total knee arthroplasty (KA TKA) relies on precise determination of constitutional alignment
to set resection targets. The arithmetic hip-knee-ankle angle (aHKA) is a radiographic method to estimate constitutional
alignment following onset of arthritis. Intraoperatively, constitutional alignment may also be approximated using navigationbased angular measurements of deformity correction, termed the stressed HKA (sHKA). This study aimed to investigate
the relationship between these methods of estimating constitutional alignment to better understand their utility in KA TKA.
Methods A radiological and intraoperative computer-assisted navigation study was undertaken comparing measurements
of the aHKA using radiographs and computed tomography (CT-aHKA) to the sHKA in 88 TKAs meeting the inclusion
criteria. The primary outcome was the difference in the paired means between the three methods to determine constitutional
alignment (aHKA, CT-aHKA, sHKA). Secondary outcomes included testing agreement across measurements using BlandAltman plots and analysis of subgroup differences based on different patterns of compartmental arthritis.
Results There were no statistically significant differences between any paired comparison or across groups (aHKA vs. sHKA:
0.1°, p = 0.817; aHKA vs. CT-aHKA: 0.3°, p = 0.643; CT-aHKA vs. sHKA: 0.2°, p = 0.722; ANOVA, p = 0.845). BlandAltman plots were consistent with good agreement for all comparisons, with approximately 95% of values within limits of
agreement. There was no difference in the three paired comparisons (aHKA, CT-aHKA, and sHKA) for knees with medial
compartment arthritis. However, these findings were not replicated in knees with lateral compartment arthritis.
Conclusions There was no significant difference between the arithmetic HKA (whether obtained using CT or radiographs)
and the stressed HKA in this analysis. These findings further validate the preoperative arithmetic method and support use of
the intraoperative stressed HKA as techniques to restore constitutional lower limb alignment in KA TKA.
Level of evidence III.
Keywords Constitutional alignment · Arithmetic HKA · Stressed HKA · Kinematic alignment · Total knee arthroplasty
Introduction
* Samuel J. MacDessi
1
CPAK Research Group, Sydney, Australia
2
Sydney Knee Specialists, Suite 201, Level 2, 131 Princes
Hwy, Kogarah, NSW 2217, Australia
3
North Devon District Hospital, Raleigh Heights, Barnstaple,
UK
4
ZOL Hospitals, Genk, Belgium
5
ArthroClinic, Leuven, Belgium
6
St George and Sutherland Clinical School, University of New
South Wales, Sydney, NSW, Australia
Recent strategies in the pursuit of more favourable outcomes
following total knee arthroplasty (TKA) have focused on restoration of constitutional lower limb alignment and joint line
obliquity. Termed kinematic alignment (KA), this method
has been shown to more reliably restore soft tissue laxities
and native joint kinematics [6, 28–30, 43, 54]. However,
with the progressive deformity that follows loss of articular
cartilage, determination of constitutional lower limb alignment is challenging [10].
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Knee Surgery, Sports Traumatology, Arthroscopy
The recently described arithmetic hip–knee–ankle angle
(aHKA) uses preoperative radiographs to estimate constitutional alignment following the onset of arthritis by measurement of angles unaffected by joint space narrowing, validated
to apply to both arthritic and non-arthritic populations [18] and
in comparison with contralateral normal limbs [33]. Investigating an arthritic population, McEwen et al. demonstrated that
constitutional alignment can also be approximated intraoperatively during computer-assisted TKA by stressing the collateral ligaments to reverse the direction of arthritic deformity,
thereby producing a “stressed” HKA (sHKA) [38].
This technique can then be used to set distal femoral and
proximal tibial resections to restore each patient’s unique limb
alignment [31, 38, 39]. Although preoperative stress radiographs
have demonstrated utility in defining the constitutional alignment
and need for soft tissue releases intraoperatively [20, 27, 46], it
is unknown whether the intraoperative sHKA method correlates
with the aHKA. Further, it is unknown if the sHKA is similarly
predictive of the constitutional alignment based on whether the
deformity has resulted from medial or lateral compartment OA.
As both the aHKA and sHKA are methods that negate the contribution of joint space narrowing in osteoarthritis, it follows that
they would yield equivalent values in direct comparison. Furthermore, although reasonable correlation has been shown between
radiographs and computed tomography (CT) in coronal plane
assessment of knee alignment [3, 16, 23, 50, 52], the derivation
of the aHKA has yet to be applied to CT imaging.
The purpose of this study was to determine if the preoperative aHKA and the intraoperative sHKA are related, thereby
validating the reliability of the sHKA to act as a surrogate
target for constitutional alignment, and whether this comparison is dependent on the compartmental pattern of OA. Additionally, we wanted to investigate whether CT-derived aHKA
(CT-aHKA), measured in preoperative planning for robotic
TKA [11], would be equivalent to the aHKA calculated from
radiographs and then to consider if the same relationship exists
between the CT-aHKA and sHKA. The primary hypothesis was
that in patients undergoing primary TKA for osteoarthritis (OA),
the aHKA, sHKA, and CT-aHKA would not be significantly different in the same knee. The secondary hypothesis was that in
the same cohort of patients, there would be statistical agreement
between measurements of aHKA, sHKA and CT-aHKA in the
same knee. Identifying a direct relationship between the sHKA
and aHKA would further confirm reliability and lend support
to routine use in restoring constitutional alignment in KA TKA.
Methods
Study design
A retrospective study was undertaken to compare measurements of the arithmetic HKA, using weight-bearing
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long-leg radiographs for the aHKA, computed tomography for CT-aHKA, and intraoperative measurements for
the stressed HKA (sHKA). Ethics approval was granted
from the Hunter New England Local Health District
Human Research Ethics Committee, #EX201905-02.
All investigations and procedures undertaken were in
accordance with the ethical standards of the institutional
research committee and with the 1964 Declaration of
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