A mathematical approach to determine the work-done from EMG analysis

Electromyography (EMG) measures cumulative action potential by means of voltage from our muscles which means, it is related to work done. As far as we know, there is no exact technique to estimate the mathematical relation between work done and EMG value. In this work, we propose a mathematical relation between work done and EMG signal with proper curve fitting and constant parameter correction. For this purpose, different subjects are chosen for determining work done by lifting different known weight to a defined height and corresponding EMG voltage is measured. Biceps Brachii and Flexor Carpi Radialis muscles are selected for taking EMG values in millivolts. We have considered the mean value from collected sEMG (Surface Electromyography) results for final analysis. From the results, it is observed that EMG voltage maintain almost parabolic relationship with work done. In addition, with that, considering the relationship as exact linear and parabolic, the errors from the measured values are also calculated. The accuracy of our proposed mathematical model is shown numerically.