A three-dimensional geometric model of the knee for the study of joint forces in gait

Abstract A geometric model has been developed to predict the kinematics of the knee from the geometry of its anatomical structures. This model has two important applications in gait analysis. First, it predicts the lines of action of the forces through the anterior cruciate ligament, posterior cruciate ligament, medial collateral ligament and at articular contact in the medial and lateral compartments. Second, it predicts the changing position and orientation of the axis of rotation of the knee. In an illustration of its potential, a preliminary version of the model successfully predicted the patterns of tibial rotation and axis orientation that have been observed in experimental studies of normal gait. Once it has been quantitatively validated and refined, the model will be a useful tool in gait analysis, with particular applications in the estimation of forces through the muscles, ligaments and at articular contact in the knee and in the calculation of joint powers.

[1]  Seth Earl Elliott,et al.  The theory of screws , 2022 .

[2]  P S Walker,et al.  Geometry and motion of the knee for implant and orthotic design. , 1985, Journal of biomechanics.

[3]  R Shiavi,et al.  Helical motion analysis of the knee--II. Kinematics of uninjured and injured knees during walking and pivoting. , 1987, Journal of biomechanics.

[4]  P. Walker,et al.  The effects of flexion and rotation on the length patterns of the ligaments of the knee. , 1973, Journal of biomechanics.

[5]  G K Cole,et al.  Application of the joint coordinate system to three-dimensional joint attitude and movement representation: a standardization proposal. , 1993, Journal of biomechanical engineering.

[6]  J. Collins,et al.  Muscle-Ligament Interactions at the Knee during Walking , 1991, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[7]  L Blankevoort,et al.  Recruitment of knee joint ligaments. , 1991, Journal of biomechanical engineering.

[8]  T P Andriacchi,et al.  Model analysis of factors influencing the prediction of muscle forces at the knee , 1988, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[9]  F. Fuss.  Anatomy of the cruciate ligaments and their function in extension and flexion of the human knee joint. , 1989, The American journal of anatomy.

[10]  A B Zavatsky,et al.  A Model of Human Knee Ligaments in the Sagittal Plane: Part 1: Response to Passive Flexion , 1992, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[11]  A. Huson,et al.  The collateral ligaments of the knee joint in the cat and man. Morphological and functional study of the internal arrangement of fibers. , 1988, Acta anatomica.

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

[13]  A B Zavatsky,et al.  A Model of Human Knee Ligaments in the Sagittal Plane: Part 2: Fibre Recruitment under Load , 1992, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[14]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[15]  P R Cavanagh,et al.  Three-dimensional kinematics of the human knee during walking. , 1992, Journal of biomechanics.

[16]  G L Kinzel,et al.  Measurement of the total motion between two body segments. II. Description of application. , 1972, Journal of biomechanics.

[17]  Jb Morrison.  Bioengineering analysis of force actions transmitted by the knee joint , 1970 .

[18]  R Shiavi,et al.  Helical motion analysis of the knee--I. Methodology for studying kinematics during locomotion. , 1987, Journal of biomechanics.

[19]  A Seireg,et al.  The prediction of muscular lad sharing and joint forces in the lower extremities during walking. , 1975, Journal of biomechanics.

[20]  J A Sidles,et al.  Ligament length relationships in the moving knee , 1988, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[21]  L. Blankevoort,et al.  The envelope of passive knee joint motion. , 1988, Journal of biomechanics.

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

[23]  F. Veldpaus,et al.  Finite centroid and helical axis estimation from noisy landmark measurements in the study of human joint kinematics. , 1985, Journal of biomechanics.

[24]  J B Morrison,et al.  The mechanics of the knee joint in relation to normal walking. , 1970, Journal of biomechanics.

[25]  J. S. Rovick,et al.  Relation between knee motion and ligament length patterns. , 1991, Clinical biomechanics.

[26]  G L Kinzel,et al.  Measurement of the total motion between two body segments. I. Analytical development. , 1972, Journal of biomechanics.