Title: Method and clinical validation of a kinetostatic model of the human knee

Authors: Daniel Alejandro Ponce Saldias; Julio F. Golin; Leonardo Mejia; Ernesto Ponce; Daniel Martins; C.R.M. Roesler

Addresses: Department of Engineering, Federal University of Santa Catarina (UFSC), Campus Blumenau, Rua João Pessoa, 2750, Velha, Blumenau, Santa Catarina, 89036-002, Brazil ' Department of Electronics (DAELN), Federal Institute of Santa Catarina (IFSC), Av. Mauro Ramos, 950, Florianopolis, Santa Catarina, 88020-300, Brazil ' Department of Engineering, Federal University of Santa Catarina (UFSC), Campus Blumenau, Rua João Pessoa, 2750, Velha, Blumenau, Santa Catarina, 89036-002, Brazil ' University School of Mechanical Engineering, University of Tarapaca (UTA), 18 de septiembre 2222 Casilla 6-D, Arica, Chile ' Department of Mechanical Engineering, Federal University of Santa Catarina (UFSC), Campus Reitor João David Ferreira Lima s/n – Trindade, Florianópolis – Santa Catarina, 88040-900, Brazil ' Laboratório de Engenharia Biomecânica (LEBm), Hospital Universitário – UFSC, Rua Profa. Maria Flora Pausewang, s/n – Trindade, Florianópolis – SC, 88036-800, Brazil

Abstract: In this work is developed and validated a static model of the human knee, based on mechanism theory, to provide surgeons information that relates forces at the anterior cruciate ligament graft (ACL) with its fixing position. The methodology for the static model is based on reimplementing a pure kinematic knee model available in the literature. This kinematic model is redefined using Davies' method to obtain a static model that yields the forces at ligaments and condyles. The proposed static model is validated by simulation of a clinical application where numerical results are compared with physiological ones. The validation uses the forces of the ACL at selected insertion points as criteria. This aims to determine the graft insertion points, at femur, that best leads to the natural response of an intact knee. Results show the applicability of the method as a support tool for medical decision making in the preoperative planning.

Keywords: knee modelling; preoperative planning; kinetostatics; screw theory; Davies method.

DOI: 10.1504/IJMRS.2018.096293

International Journal of Mechanisms and Robotic Systems, 2018 Vol.4 No.4, pp.368 - 382

Received: 06 Mar 2018
Accepted: 01 Jul 2018
Published online: 22 Nov 2018 *

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