Abstract

The aim of this article is to investigate pathological subjects from a population through different physical factors. To achieve this, particle swarm optimization (PSO) and K-means (KM) clustering algorithms have been combined (PSO-KM). Datasets provided by the literature were divided into three clusters based on age and weight parameters and each one of right tibial external rotation (RTER), right tibial internal rotation (RTIR), left tibial external rotation (LTER), and left tibial internal rotation (LTIR) values were divided into three types as Type 1, Type 2 and Type 3 (Type 2 is non-pathological (normal) and the other two types are pathological (abnormal)), respectively. The rotation values of every subject in any cluster were noted. Then the algorithm was run and the produced values were also considered. The values of the produced algorithm, the PSO-KM, have been compared with the real values. The hybrid PSO-KM algorithm has been very successful on the optimal clustering of the tibial rotation types through the physical criteria. In this investigation, Type 2 (pathological subjects) is of especially high predictability and the PSO-KM algorithm has been very successful as an operation system for clustering and optimizing the tibial motion data assessments. These research findings are expected to be very useful for health providers, such as physiotherapists, orthopedists, and so on, in which this consequence may help clinicians to appropriately designing proper treatment schedules for patients.

Highlights

  • Scientific problems encountered in nature are generally modeled mathematically

  • For each type of the rotations right tibial external rotation (RTER), right tibial internal rotation (RTIR), left tibial external rotation (LTER), left tibial internal rotation (LTIR), clustering results have been presented in Figure 6, respectively

  • Clustering success was targeted by dividing the rotation values RTER, RTIR, LTER and LTIR into pathological (Type 1 and Type 3) or non-pathological (Type 2) classes

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Summary

Introduction

To deal with these problems, production of related algorithms has been of great attraction since the advent of computers. This is the case in biomechanical problems as well. The knee motion has great importance and various approaches have been utilized to define the range of motion of it [1]. Special attention has been paid to knee joint laxity and several methods have been used to define the range of motion of the knee joint especially flexion and extension [1,5,6,7,8,9,10,11]

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