A Novel Technique to Mathematically Represent the Human Knee Dynamics through the Application of the Integral Concept

Sunny, Sithara Mary; Sivanandan, K. S.; Parameswaran, Arun P.; Baiju, T; Bhat, Shyamasunder N

doi:10.1109/discover55800.2022.9974679

Cited by 1 publication

(2 citation statements)

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“…The secondary sets are further subdivided into tertiary sets from which the second variational term is calculated. The third variational term is obtained by forming the quaternary sets from the tertiary sets [27,[37][38][39][40][41][42]. Further subsets must be generated if higher order differential terms are needed.…”

Section: Formulation Of Mathematical Representationmentioning

confidence: 99%

“…Models offer an effective approach to investigating or evaluating the characteristics of a system, especially when direct study would be impractical without causing harm, altering the system, or interfering with its current state. In other words, modeling techniques in rehabilitation engineering offer a safe, efficient, and effective means to understand, design, and implement interventions that enhance the lives of individuals with disabilities [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Analyzing Lower Limb Dynamics in Human Gait Using Average Value-Based Technique

Sunny,

Sivanandan,

Parameswaran

et al. 2024

Mathematical Problems in Engineering

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The motivation of this study is to develop effective and economical assistive technologies for people with physical disabilities. The novelty in this manuscript is the application of the average value-based technique to accurately represent the involved biomechanics of the lower limb joints during the human gait cycle. This mathematical formulation of lower limb joints’ biomechanics forms the first objective for modeling and final exoskeleton prototype development. To account for modeling the characteristics of human locomotion, the nth-order linear differential equation with constant coefficients is considered with appropriate modification. The physical characteristics of an individual are represented by the constant coefficients (P0, P1, P2, and P3) of the modified infinite series, which are obtained by processing experimental data collected using an optical technique. The differential terms of the infinite series are replaced by difference terms (δbavg, δ2bavg, and δ3bavg) since the data were captured as a set of digital values. The work presented here is based on the experimental results of individuals suitably categorized according to their physical nature like age and other physical structure. The optically monitored positional values of the lower limb joints of the individual subjects while they are completing the gait cycles are used for getting values of different terms of the model. The data collected through the conduct of experiments are used for finding the values of the terms of the differential equation. The model is effectively validated through experimental results. It was determined that the representation’s accuracy fell within the ±5% acceptable tolerance limit. The model is prepared for healthy as well as disabled persons, through which the disability is quantified. The resulting model can be used to develop assistive devices for people with physical disabilities. This results in the rehabilitation process and thereby helps the reintegration into society, subsequently allowing them to lead a normal life.

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Section: Formulation Of Mathematical Representationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%