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Arithmetic hip-knee-ankle angle (aHKA): An algorithm for estimating constitutional lower limb alignment in the
William Griffiths-Jones1,2, Darren B Chen1,3,4, Ian A Harris5
1CPAK Research Group, Kogarah, New South Wales, Australia.
Bone & Joint Open
|May 27, 2021
Summary
The arithmetic hip-knee-ankle (aHKA) algorithm accurately estimates pre-arthritic limb alignment in total knee arthroplasty (TKA) patients. This method aids surgeons in restoring natural leg alignment during knee replacement surgery.
Area of Science:
- Orthopedic surgery
- Biomechanical analysis
- Radiological assessment
Background:
- Determining pre-arthritic limb alignment is challenging once knee arthritis and deformity are present.
- Accurate restoration of constitutional alignment is crucial for successful total knee arthroplasty (TKA) outcomes.
- Existing methods may not reliably assess pre-arthritic alignment in deformed knees.
Purpose of the Study:
- To describe and validate the arithmetic hip-knee-ankle (aHKA) algorithm.
- To establish aHKA as a straightforward method for preoperative planning in TKA.
- To enable intraoperative restoration of constitutional limb alignment during TKA.
Main Methods:
- Comparative cross-sectional radiological study involving 500 normal knees and 500 arthritic knees undergoing TKA.
- The arithmetic hip-knee-ankle (aHKA) algorithm was defined as the lateral distal femoral angle (LDFA) subtracted from the medial proximal tibial angle (MPTA).
- Comparison of mechanical HKA (mHKA) and aHKA between normal and arthritic groups to assess alignment estimation and joint line convergence.
Main Results:
- Significant differences in mHKA were observed between normal and arthritic knees (p < 0.001).
- No significant difference was found between normal and arthritic groups when using the aHKA (p = 0.550).
- The medial proximal tibial angle (MPTA) and lateral distal femoral angle (LDFA) showed no significant difference between the groups.
Conclusions:
- The arithmetic hip-knee-ankle (aHKA) algorithm effectively estimates constitutional lower limb alignment post-arthritis onset.
- This validated algorithm is significant for surgeons aiming to restore constitutional alignment in TKA.
- The aHKA provides a reliable method for preoperative planning and intraoperative guidance in total knee arthroplasty.

