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

The need and importance of developing comparatively affordable yet efficient assistive devices for physically disabled people is the inspiring factor for this research. This manuscript describes a novel method of mathematically formulating the dynamics of the knee joint during human locomotion through the application of the integral concept. The nth order differential equation is modified suitably to accommodate the characteristics of human locomotion. The constant coefficients $(C_{0},\ C_{1},\ C_{2})$ of the modified infinite series represent the physical and psychological aspects of the person and are determined by processing the data obtained experimentally via optical technique. By the analysis of the data obtained through the conduction of experiments, the mathematical representation of knee dynamics was formulated and successfully validated. The accuracy of the representation was found to be within the acceptable tolerance limit of ± 10%. The resulting model can be further utilized for the design and development of assistive devices for physically disabled people thereby aiding them to reintegrate into society and lead a normal life.