Graph Theory and Matrix Approach (GTMA) Model for the Selection of the Femoral-Component of Total Knee Joint Replacement

Amber Gul (Department of Basic Science, University of Engineering and Technology, Taxila, 47050, Pakistan)
Malik Naqash Mehmood (Department pf Physics, Air University, Islamabad, Pakistan)
Malik Sajjad Mehmood (Department of Basic Science, University of Engineering and Technology, Taxila, 47050, Pakistan)

Article ID: 3058



Total Knee Replacement (TKR) is the increasing trend now a day, in revision surgery which is associated with aseptic loosening, which is a challenging research for the TKR component. The selection of optimal material loosening can be controlled at some limits. This paper is going to consider the best material selected among a number of alternative materials for the femoral component (FC) by using Graph Theory. Here GTMA process used for optimization of material and a systematic technique introduced through sensitivity analysis to find out the more reliable result. Obtained ranking suggests the use of optimized material over the other existing material. By following GTMA Co_Cr-alloys (wrought-Co-Ni-CrMo) and Co_Cr-alloys (cast-able-Co-Cr-Mo)are on the 1st and 2nd position respectively.


Femoral component;Knee replacement;Graph theory and matrix approach;Sensitivity analysis

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