The Influence of Mathematical Definitions on Patellar Kinematics Representations
A correlation between patellar kinematics and anterior knee pain is widely accepted. However, there is no consensus on how they are connected or what profile of patellar kinematics would minimize anterior knee pain. Nevertheless, answering this question by merging existing studies is further complic...
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MDPI AG
2021-12-01
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| Online Access: | https://www.mdpi.com/1996-1944/14/24/7644 |
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| author | Adrian Sauer Maeruan Kebbach Allan Maas William M. Mihalko Thomas M. Grupp |
| author_facet | Adrian Sauer Maeruan Kebbach Allan Maas William M. Mihalko Thomas M. Grupp |
| author_sort | Adrian Sauer |
| collection | DOAJ |
| description | A correlation between patellar kinematics and anterior knee pain is widely accepted. However, there is no consensus on how they are connected or what profile of patellar kinematics would minimize anterior knee pain. Nevertheless, answering this question by merging existing studies is further complicated by the variety of ways to describe patellar kinematics. Therefore, this study describes the most frequently used conventions for defining patellar kinematics, focusing on the rotations. The similarities and differences between the Cardan sequences and angles calculated by projecting axes are analyzed. Additionally, a tool is provided to enable the conversion of kinematic data between definitions in different studies. The choice of convention has a considerable impact on the absolute values and the clinical characteristics of the patello-femoral angles. In fact, the angles that result from using different mathematical conventions to describe a given patello-femoral rotation from our analyses differ up to a Root Mean Squared Error of 111.49° for patellar flexion, 55.72° for patellar spin and 35.39° for patellar tilt. To compare clinical kinematic patello-femoral results, every dataset must follow the same convention. Furthermore, researchers should be aware of the used convention’s implications to ensure reproducibility when interpreting and comparing such data. |
| first_indexed | 2024-03-10T03:40:29Z |
| format | Article |
| id | doaj.art-d64ad4d5e2864c6a822761a83a4e903a |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T03:40:29Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-d64ad4d5e2864c6a822761a83a4e903a2023-11-23T09:20:54ZengMDPI AGMaterials1996-19442021-12-011424764410.3390/ma14247644The Influence of Mathematical Definitions on Patellar Kinematics RepresentationsAdrian Sauer0Maeruan Kebbach1Allan Maas2William M. Mihalko3Thomas M. Grupp4Research and Development, Aesculap AG, 78532 Tuttlingen, GermanyDepartment of Orthopaedics, Rostock University Medical Center, 18057 Rostock, GermanyResearch and Development, Aesculap AG, 78532 Tuttlingen, GermanyCampbell Clinic Department of Orthopaedic Surgery and Biomedical Engineering, University of Tennessee Health Science Center, Memphis, TN 38163, USAResearch and Development, Aesculap AG, 78532 Tuttlingen, GermanyA correlation between patellar kinematics and anterior knee pain is widely accepted. However, there is no consensus on how they are connected or what profile of patellar kinematics would minimize anterior knee pain. Nevertheless, answering this question by merging existing studies is further complicated by the variety of ways to describe patellar kinematics. Therefore, this study describes the most frequently used conventions for defining patellar kinematics, focusing on the rotations. The similarities and differences between the Cardan sequences and angles calculated by projecting axes are analyzed. Additionally, a tool is provided to enable the conversion of kinematic data between definitions in different studies. The choice of convention has a considerable impact on the absolute values and the clinical characteristics of the patello-femoral angles. In fact, the angles that result from using different mathematical conventions to describe a given patello-femoral rotation from our analyses differ up to a Root Mean Squared Error of 111.49° for patellar flexion, 55.72° for patellar spin and 35.39° for patellar tilt. To compare clinical kinematic patello-femoral results, every dataset must follow the same convention. Furthermore, researchers should be aware of the used convention’s implications to ensure reproducibility when interpreting and comparing such data.https://www.mdpi.com/1996-1944/14/24/7644knee jointpatello-femoral jointkinematicscardan sequenceeuler anglesconversion |
| spellingShingle | Adrian Sauer Maeruan Kebbach Allan Maas William M. Mihalko Thomas M. Grupp The Influence of Mathematical Definitions on Patellar Kinematics Representations Materials knee joint patello-femoral joint kinematics cardan sequence euler angles conversion |
| title | The Influence of Mathematical Definitions on Patellar Kinematics Representations |
| title_full | The Influence of Mathematical Definitions on Patellar Kinematics Representations |
| title_fullStr | The Influence of Mathematical Definitions on Patellar Kinematics Representations |
| title_full_unstemmed | The Influence of Mathematical Definitions on Patellar Kinematics Representations |
| title_short | The Influence of Mathematical Definitions on Patellar Kinematics Representations |
| title_sort | influence of mathematical definitions on patellar kinematics representations |
| topic | knee joint patello-femoral joint kinematics cardan sequence euler angles conversion |
| url | https://www.mdpi.com/1996-1944/14/24/7644 |
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