Measurement of the total motion between two body segments, I:​ analytical development

Kinzel, G. L.; Hall, Jr, A. S.; Hillberry, B. M.

Affiliations

¹School of Mechanical Engineering, Purdue University Lafayette, Indiana, U.S.A.

Abstract

All joints of human and animal bodies permit six degrees of freedom to varying extents. Thus to accurately measure the motion permitted by any anatomical joint, all six degrees of freedom must be taken into account. The objective of Part I of this paper is to present the analytical basis for a measurement system which incorporates an instrumented spatial linkage capable of doing this.

The system permits both the study of the overall relative motion between two adjacent body segments (e.g. bones) as well as the detailed study of the relative motion between the two complementary articular surfaces of the intervening joint. The mathematical development is carried out in matrix algebra to facilitate data reduction using the digital computer.

Links

DOI: 10.1016/0021-9290(72)90022-X

PubMed: 4666098

WoS: A1972L352900008

History

Received: 1971-06-08

Cited By (45)

Year	Entry
2005	Andriacchi TP, Johnson TS, Hurwitz DE, Natarajan RN. Musculoskeletal dynamics, locomotion, and clinical applications. In: Mow VC, Huiskes R, eds. Basic Orthopaedic Biomechanics & Mechano-Biology. 3rd ed. Philadelphia, PA: Lippincott Williams & Wilkins; 2005:91-122.
1990	Winters JM, Peles JD. Neck muscle activity and 3-D head kinematics during quasi-static and dynamic tracking movements. In: Winters JM, Woo SL-Y, eds. Multiple Muscle Systems: Biomechanics and Movement Organization. New York, NY: Springer-Verlag; 1990:461-480.
2010	Lopez-Valdes FJ, Lau A, Lamp J, Riley P, Lessley DJ, Damon A, Kindig M, Kent R, Balasubramanian S, Seacrist T, Maltese MR, Arbogast KB, Higuchi K, Tanji H. Analysis of spinal motion and loads during frontal impacts: comparison between PMHS and ATD. In: 54th Annual Proceedings, Association for the Advancement of Automotive Medicine (AAAM). October 17-20, 2010; Las Vegas, NV.61-77.
2011	Lopez-Valdes FJ, Lau S, Riley P, Lamp J, Kent R. The biomechanics of the pediatric and adult human thoracic spine. In: 55th Annual Proceedings, Association for the Advancement of Automotive Medicine (AAAM). October 3-5, 2011; Paris, France.193-206.
1977	Dimnet J, Brossard JP, Fischer LP, Gonon G, Carret J-P. The influence of discontinuous lateral displacements on the behaviour of in vivo lumbar column. In: Proceedings of the 1977 International IRCOBI Conference on the Biomechanics of Impact. September 7-9, 1977; Berlin, Germany.128-137.
2011	Lopez‐Valdes FJ, Seacrist T, Balasubramanian S, Maltese MR, Arbogast KB, Tanji H, Higuchi K, Kent R. Comparing the kinematics of the head and spine between volunteers and PMHS: a methodology to estimate the kinematics of pediatric occupants in a frontal impact. In: Proceedings of the 2011 International IRCOBI Conference on the Biomechanics of Injury. September 14-16, 2011; Krakow, Poland.287-300.
2014	Lopez‐Valdes FJ, Lau SH, Riley P, Kent RW. Characterization of the in‐vitro dynamic behavior of the human thoracic spine in flexion. In: Proceedings of the 2014 International IRCOBI Conference on the Biomechanics of Injury. September 10-12, 2014; Berlin, Germany.145-165.
2010	Lopez-Valdes FJ, Seacrist T, Balasubramanian S, Maltese MR, Arbogast KB, Tanji H, Higuchi K, Kent R. A methodology to obtain kinematic corridors for pediatric occupants in frontal impacts. In: Lim CT, Goh JCH, eds. 6th World Congress of Biomechanics (WCB 2010). August 1-6, 2010; Singapore. Heidelberg, Germany: Springer:529-532. IFMBE Proceedings; vol 31.
1989	Ouzounian TJ, Shereff MJ. In vitro determination of midfoot motion. Foot Ankle. December 1989;10(3):140-146.
1997	Ahn T-K, Kitaoka HB, Luo Z-P, An K-N. Kinematics and contact characteristics of the first metatarsophalangel joint. Foot Ankle Int. 1997;18(3):170-174.
1973	Chao EY-S, Rim K. Application of optimization principles in determining the applied moments in human leg joints during gait. J Biomech. September 1973;6(5):497-510.
1977	Townsend MA, Izak M, Jackson RW. Total motion knee goniometry. J Biomech. 1977;10(3):183-193.
1978	Chao EY, Morrey BF. Three-dimensional rotation of the elbow. J Biomech. 1978;11(1-2):57-73.
1979	Scherrer PK, Hillberry BM. Piecewise mathematical representation of articular surfaces. J Biomech. 1979;12(4):301-311.
1980	Spoor CW, Veldpaus FE. Rigid body motion calculated from spatial co-ordinates of markers. J Biomech. 1980;13(4):391-393.
1981	Panjabi MM, Krag MH, Goel VK. A technique for measurement and description of three-dimensional six degree-of-freedom motion of a body joint with an application to the human spine. J Biomech. 1981;14(7):447-460.
1985	Kurosawa H, Walker P., Abe S, Garg A, Hunter T. Geometry and motion of the knee for implant and orthotic design. J Biomech. 1985;18(7):487-499.
1988	Blankevoort L, Huiskes R, de Lange A. The envelope of passive knee joint motion. J Biomech. 1988;21(9):705-720.
1989	Apkarian J, Naumann S, Cairns B. A three-dimensional kinematic and dynamic model of the lower limb. J Biomech. 1989;22(2):143-155.
1990	Pennock GR, Clark KJ. An anatomy-based coordinate system for the description of the kinematic displacements in the human knee. J Biomech. 1990;23(12):1209-1218.
2011	Hu Y, Ledoux WR, Fassbind M, Rohr ES, Sangeorzan BJ, Haynor D. Multi-rigid image segmentation and registration for the analysis of joint motion from three-dimensional magnetic resonance imaging. J Biomech Eng. October 2011;133(10):101005.
1990	Kadaba MP, Ramakrishnan HK, Wootten ME. Measurement of lower extremity kinematics during level walking. J Orthop Res. May 1990;8(3):383-392.
1999	Bull AMJ. Measurement and Computer Simulation of Knee Kinematics [PhD thesis]. Imperial College London; 1999.
1977	Wells RP. Kinematic and Dynamic Aspects of Normal Gait and Swing-Through Crutch Gait [PhD thesis]. Victoria University of Manchester; July 1977.
1988	Verstraete MC. A Method for Computing the Three-Dimensional Forces and Moments in the Lower Limb During Locomotion [PhD thesis]. East Lansing, MI: Michigan State University; 1988.
2003	Alderink GJ. Three-Dimensional Kinematic Analysis of the Thorax in Standing and Sitting [PhD thesis]. East Lansing, MI: Michigan State University; 2003.
1984	Lafortune MA. The Use of Intra-Cortical Pins to Measure the Motion of the Knee Joint During Walking [PhD thesis]. State College, PA: Pennsylvania State University; August 1984.
1990	Buczek FL Jr. Three-Dimensional Kinematics and Kinetics of the Ankle and Knee Joints During Uphill, Level, and Downhill Walking [PhD thesis]. State College, PA: Pennsylvania State University; May 1990.
1990	McClay IS. A Comparison of Tibiofemoral and Patellofemoral Joint Motion in Runners With and Without Patellofemoral Pain [PhD thesis]. State College, PA: Pennsylvania State University; December 1990.
1992	Li J. An Integrated Gait Analysis System (QGAIT) for Evaluation of Individual Loading Patterns At Knee Joint During Gait [PhD thesis]. Queen's University; November 1992.
1999	Cripton PA. Load-Sharing in the Human Cervical Spine [PhD thesis]. Queen's University; November 1999.
2003	Malone JR. A Comparison of Optoelectronic and Electromagnetic Motion Tracking Systems [Master's thesis]. Queen's University; October 2003.
1997	Sheehan FT. A Non-Invasive, in Vivo Study of the Patella Using Cine Phase Contrast Magnetic Resonance Imaging: 3D Kinematics and Tendon Strain [PhD thesis]. Stanford University; August 1997.
1980	Wismans JSHM. A Three-Dimensional Mathematical Model of the Human Knee Joint [PhD thesis]. Eindhoven University of Technology; 1980.
2021	Romani S. The Development of an Upper Cervical Spine Model for Use in an Omnidirectional Surrogate Neck [Master's thesis]. Vancouver, BC: University of British Columbia; July 2021.
2012	Graf ES. Torsion of the Foot [PhD thesis]. Calgary, AB: University of Calgary; May 2012.
2013	Bonny DP. Design, Calibration, and Validation of an Instrumented Spatial Linkage That Accurately Measures Changes in the Rotational Axes of the Tibiofemoral Joint [Master's thesis]. Davis, University of California; 2013.
2009	Metzger MF. Evaluation of Spinal Reconstructive Surgeries Using Multi-Body System Dynamics [PhD thesis]. San Francisco, University of California; 2009.
1998	Bottlang M. Analysis of Constraints and Requirements for the Applicability of Articulated External Fixation [PhD thesis]. University of Iowa; December 1998.
2013	Lopez-Valdes FJ. Mechanics of the Pediatric Thoracic Spine and Its Role in the Kinematics of the Head in Automotive Frontal Impacts [PhD thesis]. Charlottesville, VA: University of Virginia; May 2013.
1990	Cholewicki J. The Contribution of the Lumbar Disc and Posterior Ligaments in Generating Trunk Extensor Moment During Extremely Heavy Lifts Using Fluoroscopy [Master's thesis]. University of Waterloo; 1990.
1997	Rath DA. Design and Development of an Elbow Loading Apparatus and the Determination of Elbow Kinematics [Master's thesis]. University of Western Ontario; May 1997.
2001	Dunning CE. Development of a Motion-Controlled Testing Apparatus and Kinematic Techniques to Simulate and Describe Elbow Motion (development of Tools to Simulate and Describe Elbow Motion) [PhD thesis]. London, ON: University of Western Ontario; 2001.
2013	McLachlin SD. An Investigation of Subaxial Cervical Spine Trauma and Surgical Treatment Through Biomechanical Simulation and Kinematic Analysis [PhD thesis]. University of Western Ontario; 2013.
1999	Cheng BC. Three-Dimensional Kinematics of the Spine: An Algorithm to Analyze Biomechanical Testing [PhD thesis]. University of Wisconsin – Madison; 1999.