Analysis of Anterior Cruciate Ligament of the Human Knee Using a Mathematical Model

Author(s):  
Ahmed Imran



Author(s):  
D E Toutoungi ◽  
A B Zavatsky ◽  
J J O'Connor

This paper presents the results of an investigation into parameter sensitivity of a mathematical model of the human anterior cruciate ligament (ACL). The model ACL comprised a continuous array of fibres mapped between part-elliptical attachment areas on the femur and tibia. Relative motion of the two bones was controlled by a planar four-bar linkage. Parameter modifications were: (a) an alternative set of values for the coordinates of the four-bar linkage joints; (b) rotation of the attachment areas of the ligament by ±30°; and (c) variation of some mechanical properties. The alternative four-bar linkage parameter set produced extremely large changes in ACL force values, up to 130 per cent. Rotating the tibial attachment changed forces by less than 20 per cent, whereas rotating the femoral attachment changed forces by up to 100 per cent. Altering the mechanical parameters produced the smallest differences in force, under 15 per cent. These results highlight the importance, when using a theoretical model, of establishing the values of the parameters defining the model as accurately as possible and of carrying out a parameter sensitivity study. From a clinical viewpoint, they also suggest that, when reconstructing a ruptured ACL, one of the most important considerations must be to position the femoral attachment of the graft as accurately as is feasible.



2012 ◽  
Vol 64 (3) ◽  
pp. 696-704 ◽  
Author(s):  
Akihiko Hasegawa ◽  
Shuhei Otsuki ◽  
Chantal Pauli ◽  
Shigeru Miyaki ◽  
Shantanu Patil ◽  
...  


Author(s):  
Ariful I. Bhuiyan ◽  
Nabila Shamim ◽  
Stephen Ekwaro-Osire

Abstract A three-dimensional (3D) finite element (FE) human knee joint model developed from magnetic resonance images (MRIs) has been validated with the sets of experimental results in a normalized scale. The performance of the 3D FE knee joint model has been tested, simulating a physical experiment. The experiment provided the direct measurement of anterior cruciate ligament (ACL) strains due to the forces of quadriceps muscle force (QMF) followed by ground reaction force (GRF) at low knee flexion. Accurate and precise anatomy has been obtained from segmented MRI images. The ACL strain subject to the loading was calculated and analyzed compared with the measured data from the experimental tests. The study shows that the pre-activated ACL strain, which is measured before the application of GRF, increased nonlinearly with increasing QMF before landing. However, the total ACL strain, which is measured after both QMF and GRF applied, reaches out to the limited constant value (6%) instead of crossing the ACL failure value. These results suggest that the forces generated from QMF and GRF at low flexion may not bring ACL to a failure level as presented in the experimental tests. The results of the FE model fall into the standard deviations of the 22 cadaveric knees testing results, which represents the successful mechanical modeling of ACL and the surrounding structures of the human knee joint. The model may further be used to investigate the risks of the ACL injury.



The Knee ◽  
2021 ◽  
Vol 29 ◽  
pp. 381-389
Author(s):  
F. Blanke ◽  
M. Boljen ◽  
C. Lutter ◽  
N. Oehler ◽  
T. Tischer ◽  
...  


1983 ◽  
Vol 16 (4) ◽  
pp. 286
Author(s):  
R.A. Fischer ◽  
S.W. Arms ◽  
R.J. Johnson ◽  
M.H. Pope


2017 ◽  
Vol 22 (3) ◽  
pp. 488-494 ◽  
Author(s):  
Kazunori Tanaka ◽  
Munehiro Ogawa ◽  
Yusuke Inagaki ◽  
Yasuhito Tanaka ◽  
Hitoshi Nishikawa ◽  
...  


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