Characterization of Left Ventricular Hypertrophy via Fractional Derivatives

2017/11/07 by Srijan Sengupta, Sengupta, Srijan, Uttam Ghosh +5
Mathematics · Physics and Astronomy · #26A33 #Advanced Mathematical Theories and Applications #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Dynamics and Fractals #Medical Physics (physics.med-ph)

paper · pdf · doi:10.48550/arxiv.1711.04860

openalex publication_date 2017/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results

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