Theoretical and Empirical Estimates of V-index Variability

Massimo W Rivolta1, Luca Mainardi2, Roberto Sassi3
1Dipartimento di Informatica, Università degli Studi di Milano, 2Politecnico di Milano, 3Università degli Studi di Milano, Dipartimento di Informatica


Abstract

Spatial heterogeneity of the ventricular repolarization (SHVR) might lead to life-threatening events when pathologically increases. The V-index is a metric meant to assess SHVR from the surface ECG and is computed on a set of ECG beats. The number of beats required to ensure low variability estimates is still matter of investigation. In this study, we investigated the role of the variability of the V-index estimator as function of the number of beats, using computerized simulations. We generated 100 sets of 1000 beats with seven different values of SHVR (from 10 to 70 ms) using the ECGSIM model. Using such dataset, we tested two approaches to estimate the variability of the V-index estimator. First, we analytically derived the probability density function of the estimator under independence and normality assumptions. Second, we used the bootstrap technique and derived that 1000 bootstrap iterations ensured stable estimates. We obtained that the standard deviation (STD) of V-index increased with SHVR values and decreased with the number of beats considered, with a rate similar to that of the sample mean. The independence assumption overestimated the STD by a factor of about 2. To conclude, the variability of the V-index estimator is below 5 ms when at least 100 beats are considered. The number of beats is in line with other techniques meant to estimate SHVR.