Abstract
Artificial human knee with partial prosthetic replacement was modelled in the sagittal plane in order to analyze the role of anterior cruciate ligament in an unconstrained artificial knee. The cruciate and collateral ligaments were modelled as non-linear elastic fibers that stretched and resisted relative movements of the bone. Role of fibers in the anterior and posterior fibers of the anterior cruciate ligament was analyzed during simulated tests similar to those used in clinical practice. Anterior half of the ligament was found to resist forces for all simulated flexion positions of the joint. The posterior half resisted forces in low and in high flexion positions and remained unstitched during for nearly 30–90° flexion. The model calculations agreed with experimental observations on cadaver knees reported in the literature. A graphical interface facilitated visual analysis of the joint while the ligament fibers stretched sequentially developing forces and unstretched becoming slack as the joint flexed or the femoral and tibial bones with prosthetic parts moved relative to each other. The cruciate ligaments controlled the joint kinematics after replacement. The model analysis helps in visual analysis and in gaining insight into the joint behavior with clinical relevance.
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References
Hamilton, T.W., Pandit, H.G., Inabathula, A., Ostlere, S.J., Jenkins, C., Mellon, S.J., Dodd, C.A.F., Murray, D.W.: Unsatisfactory outcomes following unicompartmental knee arthroplasty in patients with partial thickness cartilage loss – a medium-term follow-up. Bone Joint J. 99-B(4), 475–482 (2017)
Imran, A.: Computer graphics based analysis of loading patterns in the anterior cruciate ligament of the human knee. In: Arai, K., Bhatia, R., Kapoor, S. (eds.) Advances in Intelligent Systems and Computing, vol. 998, pp. 1175–1180. Springer, Cham (2019). (2)
Lord, B.R., El-Daou, H., Zdanowicz, U., Smigielski, R., Amis, A.: The role of fibers within the tibial attachment of the anterior cruciate ligament in restraining tibial displacement. Arthrosc.: J. Arthrosc. Related Surg. 35(7), 2101–2111 (2019)
Imran, A.: Relating knee laxity with strain in the anterior cruciate ligament. In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering, London, pp. 1037–1042 (2017)
Imran, A.: Analyzing anterior knee laxity with isolated fiber bundles of anterior cruciate ligament. In: Proceedings of the World Congress on Engineering, London, pp 869–872 (2016)
Imran, A.: Sagittal plane knee laxity after ligament retaining unconstrained arthroplasty: a mathematical analysis. J. Mech. Med. Biol. 12(2), 1–11 (2012)
Imran, A., O’Connor, J.: Control of knee stability after ACL injury or repair: interaction between hamstrings contraction and tibial translation. Clin. Biomech. 13(3), 153–162 (1998)
Mommersteeg, M., Blankevoort, L., Huiskes, R., Kooloos, J., Kauer, J.: Characterisation of the mechanical behavior of human knee ligaments: a numerical-experimental approach. J. Biomech. 29(2), 151–160 (1996)
O’Connor, J., Shercliff, T., Biden, E., Goodfellow, J.: The geometry of the knee in the sagittal plane. Proc. Inst. Mech. Eng. (Part H) J. Eng. Med. 203, 223–233 (1989)
Lu, T.W., O’Connor, J.: Fiber recruitment and shape changes of knee ligaments during motion: as revealed by a computer graphics based model. Proc. Inst. Mech. Eng. (Part H) J. Eng. Med. 210, 71–79 (1996)
O’Connor, J., Imran, A.: Bearing movement after Oxford uni-compartmental knee arthroplasty: a mathematical model. Orthopedics 30(5S), 42–45 (2007)
Imran, A.: Modelling and simulation in orthopedic biomechanics-applications and limitations. In: Tavares, J.M., Jorge, R.M. (eds.) Computational and Experimental Biomedical Sciences: Methods and Applications. Springer, Cham (2015)
Imran, A.: Influence of flexing load position on the loading of cruciate ligaments at the knee–a graphics-based analysis. In: Tavares, J., Jorge, R.M. (eds.) Computational and Experimental Biomedical Sciences: Methods and Applications. Springer, Cham (2015)
Imran, A.: Computer graphics based approach as an aid to analyze mechanics of the replaced knee. In: Arai, K., Kapoor, S., Bhatia, R. (eds.) Advances in Intelligent Systems and Computing, vol. 857. Springer, Cham (2019)
Kondo, E., Merican, A., Yasuda, K., Amis, A.: Biomechanical analysis of knee laxity with isolated anteromedial or posterolateral bundle deficient anterior cruciate ligament. J. Arthrosc. Related Surg. 30(3), 335–343 (2014)
Kawaguchi, Y., Kondo, E., Takeda, R., Akita, K., Yasuda, K., Amis, A.: The Role of fibers in the femoral attachment of the anterior cruciate ligament in resisting tibial displacement. J. Arthrosc. Related Surg. 31(3), 435–444 (2015)
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The author would like to support the College of Engineering at Ajman University, Ajman, UAE. for support provided for this research project.
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Imran, A. (2020). Computer Graphics-Based Analysis of Anterior Cruciate Ligament in a Partially Replaced Knee. In: Arai, K., Kapoor, S., Bhatia, R. (eds) Intelligent Computing. SAI 2020. Advances in Intelligent Systems and Computing, vol 1230. Springer, Cham. https://doi.org/10.1007/978-3-030-52243-8_44
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DOI: https://doi.org/10.1007/978-3-030-52243-8_44
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