Fiedler, Christoph and Gezzi, Riccardo and Frosch, Karl-Heinz and Wachowski, Martin Michael and Kubein-Meesenburg, Dietmar and Doerner, Jochen and Fanghaenel, Jochen and Naegerl, Hans (2011) Mathematical study on the guidance of the tibiofemoral joint as theoretical background for total knee replacements. ACTA OF BIOENGINEERING AND BIOMECHANICS, 13 (4). pp. 37-49. ISSN 1509-409X,
Full text not available from this repository. (Request a copy)Abstract
The mathematical approach presented allows main features of kinematics and force transfer in the loaded natural tibiofemoral joint (TFJ) or in loaded knee endoprostheses with asymmetric condyles to be deduced from the spatial curvature morphology of the articulating surfaces. The mathematical considerations provide the theoretical background for the development of total knee replacements (TKR) which closely reproduce biomechanical features of the natural TFJ. The model demonstrates that in flexion/extension such kinematic features as centrodes or slip ratios can be implemented in distinct curvature designs of the contact trajectories in such a way that they conform to the kinematics of the natural TFJ in close approximation. Especially the natural roll back in the stance phase during gait can be reproduced. Any external compressive force system, applied to the TFJ or the TKR, produces two joint reaction forces which - when applying screw theory - represent a force wrench. It consists of a force featuring a distinct spatial location of its line and a torque parallel to it. The dependence of the geometrical configuration of the force wrench on flexion angle, lateral/medial distribution of the joint forces, and design of the slopes of the tuberculum intercondylare is calculated. The mathematical considerations give strong hints about TKR design and show how main biomechanical features of the natural TFJ can be reproduced.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BIOMECHANICAL PRINCIPLES; MECHANICS; FEMUR; DIARTHROSIS; SHAPES; tibiofemoral joint; design of TKR; instantaneous rotational axis; slip ratio; joint force distribution; force wrench; four-bar linkage |
| Subjects: | 600 Technology > 610 Medical sciences Medicine |
| Divisions: | Medicine > Lehrstuhl für Kieferorthopädie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jun 2020 08:17 |
| Last Modified: | 29 Jun 2020 08:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21414 |
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