Characterization of Left Ventricular Hypertrophy via Fractional Derivatives

TL;DR

This study uses fractional derivatives of ECG signals to differentiate between LVH patients and normal individuals, potentially aiding early risk assessment of LVH.

Contribution

It introduces a novel application of fractional derivatives to characterize ECGs for LVH detection, highlighting phase transition differences.

Findings

Higher phase transition in LVH patients compared to normals

Fractional derivatives can distinguish LVH from normal ECGs

Potential for early LVH risk assessment

Abstract

In this paper, we have used the concepts of the fractional derivative of rough curves to characterize ECG of LVH patients and compared the results with normal ECGs. In mathematical language, an ECG is a rough curve having Q, R, S points as non-differentiable points where classical derivatives do not exist but fractional derivatives exist. We have calculated both left and right modified Riemann-Liouville fractional derivatives and their differences termed as phase transition at those non-differentiable points of V1, V2, V5, and V6 leads.Investigation shows that phase transition is higher for LVH patients than normal ones. This may be a method of determination of risk factor of LVH patients before doing Echocardiogram.