Abstract

In this paper we have introduced a new mathematical approach to predict Left Ventricular Hypertrophy using fractional calculus. ECG graphs contain several points which are non-differentiable in the sense of classical calculus and termed as unreachable points. But these unreachable points are differentiable in the sense of fractional calculus. Though fractional calculus was born on 1695, still it is a developing field. Several mathematicians defined fractional derivatives in different ways. In this paper we have found modified left and right Riemann-Liouville derivative and calculated their difference at each unreachable point of the PQRST complexes of ECG graphs. This difference, termed as Phase Transition (P.T.) has been considered as an indicator for detection of LVH problem. For LVH patients it has been shown to be higher than normal people.

Keywords: Jumarie type fractional derivative; Left ventricular hypertrophy; Phase transition