A new model to predict in vivo human knee kinematics under physiological-like muscle activation.

Although a number of approaches have attempted to model knee kinematics, rarely have they been validated against in vivo data in a larger subject cohort. Here, we assess the feasibility of four-bar linkage mechanisms in addressing knee kinematics and propose a new approach that is capable of accounting for lengthening characteristics of the ligaments, including possible laxity, as well as the internal/external rotation of the joint. MR scans of the knee joints of 12 healthy volunteers were taken at flexion angles of 0 degrees , 30 degrees and 90 degrees under both passive and active muscle conditions. By reconstructing the surfaces at each position, the accuracy of the four-bar linkage mechanism was assessed for every possible combination of points within each cruciate ligament attachment area. The specific set of parameters that minimized the deviation between the predictions and the in vivo pose was derived, producing a mean error of 1.8 and 2.5 on the medial and 1.7 and 2.4mm on the lateral side at 30 degrees and 90 degrees flexion, respectively, for passive motion, significantly improving on the models that did not consider internal/external rotation. For active flexion, mean medial errors were 3.3 and 4.7 mm and lateral errors 3.4 and 4.8 mm. Using this best parameter set, a generic predictive model was created and assessed against the known in vivo positions, producing a maximum average error of 4.9 mm at 90 degrees flexion. The accuracy achieved shows that kinematics may be accurately reconstructed for subject specific musculoskeletal models to allow a better understanding of the load distribution within the knee.

[1]  A Menschik [Mechanics of the knee-joint. 1 (author's transl)]. , 1974, Zeitschrift fur Orthopadie und ihre Grenzgebiete.

[2]  Eugene Ozhinsky,et al.  A three‐dimensional MRI analysis of knee kinematics , 2004, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[3]  M. S. Hefzy,et al.  3-D anatomically based dynamic modeling of the human knee to include tibio-femoral and patello-femoral joints. , 2004, Journal of biomechanical engineering.

[4]  A Leardini,et al.  Position and orientation in space of bones during movement: experimental artefacts. , 1996, Clinical biomechanics.

[5]  William R Taylor,et al.  Tibio‐femoral loading during human gait and stair climbing , 2004, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[6]  Andrew A. Amis,et al.  Femoral attachment of the anterior cruciate ligament , 2006, Knee Surgery, Sports Traumatology, Arthroscopy.

[7]  E R Valstar,et al.  Model-based Roentgen stereophotogrammetry of orthopaedic implants. , 2001, Journal of biomechanics.

[8]  C. Servant,et al.  The accuracy of magnetic resonance imaging in diagnosing chronic posterior cruciate ligament injury. , 2004, The Knee.

[9]  L. Blankevoort,et al.  Validation of a three-dimensional model of the knee. , 1996, Journal of biomechanics.

[10]  J. P. Paul Approaches to design - Force actions transmitted by joints in the human body , 1976, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[11]  A B Zavatsky,et al.  Parameter sensitivity of a mathematical model of the anterior cruciate ligament , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[12]  F. Noyes,et al.  Ligamentous restraints to anterior-posterior drawer in the human knee. A biomechanical study. , 1980, The Journal of bone and joint surgery. American volume.

[13]  Hanna Schell,et al.  On the influence of soft tissue coverage in the determination of bone kinematics using skin markers , 2005, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[14]  N F Friederich,et al.  [Clinical application of biomechanic and functional anatomical findings of the knee joint]. , 1992, Der Orthopade.

[15]  T P Andriacchi,et al.  A point cluster method for in vivo motion analysis: applied to a study of knee kinematics. , 1998, Journal of biomechanical engineering.

[16]  F Eckstein,et al.  Femoro‐tibial and menisco‐tibial translation patterns in patients with unilateral anterior cruciate ligament deficiency—a potential cause of secondary meniscal tears , 2004, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[17]  S.A. Banks,et al.  Accurate measurement of three-dimensional knee replacement kinematics using single-plane fluoroscopy , 1996, IEEE Transactions on Biomedical Engineering.

[18]  M. H. Pope,et al.  The measurement of anterior cruciate ligament strain in vivo , 2004, International Orthopaedics.

[19]  M Muller The relationship between the rotation possibilities between femur and tibia and the lengths of the cruciate ligaments. , 1993, Journal of theoretical biology.

[20]  Tony Unsworth,et al.  Proceedings of the Institution of Mechanical Engineers Part H. , 2008, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[21]  H. Strasser Lehrbuch der Muskel- und Gelenkmechanik , 1908 .

[22]  T L Shercliff,et al.  The Geometry of the Knee in the Sagittal Plane , 1989, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[23]  A. Amis,et al.  Anatomy of the posterior cruciate ligament and the meniscofemoral ligaments , 2006, Knee Surgery, Sports Traumatology, Arthroscopy.

[24]  B. Beynnon,et al.  The Transepicondylar Axis Approximates the Optimal Flexion Axis of the Knee , 1998, Clinical orthopaedics and related research.

[25]  Michael D Ross,et al.  The relationship between participation restrictions and selected clinical measures following anterior cruciate ligament reconstruction , 2001, Knee Surgery, Sports Traumatology, Arthroscopy.

[26]  Lu Tw,et al.  Fibre Recruitment and Shape Changes of Knee Ligaments during Motion: As Revealed by a Computer Graphics-Based Model , 1996 .

[27]  Paul J. Besl,et al.  A Method for Registration of 3-D Shapes , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[28]  HighWire Press,et al.  The journal of bone and joint surgery - British volume , 1948 .

[29]  J. O'Connor,et al.  Three-Dimensional Geometrical Models of Human Knee Ligaments , 1994 .

[30]  Jennifer M Scarvell,et al.  Development of the concepts of knee kinematics. , 2003, Archives of physical medicine and rehabilitation.

[31]  Edgar Brunner,et al.  Nonparametric analysis of longitudinal data in factorial experiments , 2012 .

[32]  Ashutosh Kumar Singh,et al.  The Axes of Rotation of the Knee , 1993, Clinical orthopaedics and related research.

[33]  D G Murray,et al.  The longitudinal axis of the knee and the role of the cruciate ligaments in controlling transverse rotation. , 1974, The Journal of bone and joint surgery. American volume.

[34]  B B Seedhom,et al.  Axis Location of Tibial Rotation and Its Change With Flexion Angle , 2000, Clinical orthopaedics and related research.

[35]  H Graichen,et al.  A new in vivo technique for determination of 3D kinematics and contact areas of the patello-femoral and tibio-femoral joint. , 2004, Journal of biomechanics.

[36]  James R. Robinson,et al.  Biomechanics of the PCL and related structures: posterolateral, posteromedial and meniscofemoral ligaments , 2003, Knee Surgery, Sports Traumatology, Arthroscopy.

[37]  Andrew A. Amis,et al.  Isometricity and graft placement during anterior cruciate ligament reconstruction , 1995 .

[38]  Angelo Cappello,et al.  Quantification of soft tissue artefact in motion analysis by combining 3D fluoroscopy and stereophotogrammetry: a study on two subjects. , 2005, Clinical biomechanics.

[39]  V. Pinskerova,et al.  The posterior cruciate ligament during flexion of the normal knee. , 2004, The Journal of bone and joint surgery. British volume.

[40]  T. Gill,et al.  In Vivo Elongation of the Anterior Cruciate Ligament and Posterior Cruciate Ligament during Knee Flexion , 2004, The American journal of sports medicine.

[41]  Hartmut Witte,et al.  ISB recommendation on definitions of joint coordinate system of various joints for the reporting of human joint motion--part I: ankle, hip, and spine. International Society of Biomechanics. , 2002, Journal of biomechanics.

[42]  L Blankevoort,et al.  Helical axes of passive knee joint motions. , 1990, Journal of biomechanics.

[43]  Michael J. Ackerman,et al.  Technical Milestone: The visible Human Male: A Technical Report , 1996, J. Am. Medical Informatics Assoc..

[44]  G. Bergmann,et al.  Musculo-skeletal loading conditions at the hip during walking and stair climbing. , 2001, Journal of biomechanics.

[45]  V. Mow,et al.  Codominance of the Individual Posterior Cruciate Ligament Bundles: An Analysis of Bundle Lengths and Orientation , 2003, The American journal of sports medicine.

[46]  A. J. van den Bogert,et al.  Effect of skin movement on the analysis of skeletal knee joint motion during running. , 1997, Journal of biomechanics.

[47]  V Pinskerova,et al.  The movement of the knee studied by magnetic resonance imaging. , 2003, Clinical orthopaedics and related research.

[48]  A. Georgoulis,et al.  Posterior cruciate ligament architecture: evaluation under microsurgical dissection. , 2000, Arthroscopy : the journal of arthroscopic & related surgery : official publication of the Arthroscopy Association of North America and the International Arthroscopy Association.

[49]  J. O'Connor,et al.  The variation in the orientations and moment arms of the knee extensor and flexor muscle tendons with increasing muscle force: A mathematical analysis , 2000, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.