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. 2020 Sep 17;15(9):e0239074. doi: 10.1371/journal.pone.0239074

Automatic identification of a stable QRST complex for non-invasive evaluation of human cardiac electrophysiology

Gunilla Lundahl 1, Lennart Gransberg 1, Gabriel Bergqvist 1, Göran Bergström 1,2, Lennart Bergfeldt 1,3,*
Editor: Elena G Tolkacheva4
PMCID: PMC7498068  PMID: 32941513

Abstract

Background

A vectorcardiography approach to electrocardiology contributes to the non-invasive assessment of electrical heterogeneity in the ventricles of the heart and to risk stratification for cardiac events including sudden cardiac death. The aim of this study was to develop an automatic method that identifies a representative QRST complex (QRSonset to Tend) from a Frank vectorcardiogram (VCG). This method should provide reliable measurements of morphological VCG parameters and signal when such measurements required manual scrutiny.

Methods

Frank VCG was recorded in a population-based sample of 1094 participants (550 women) 50–65 years old as part of the Swedish CArdioPulmonary bioImage Study (SCAPIS) pilot. Standardized supine rest allowing heart rate stabilization and adaptation of ventricular repolarization preceded a recording period lasting ≥5 minutes. In the Frank VCG a recording segment during steady-state conditions and with good signal quality was selected based on QRST variability. In this segment a representative signal-averaged QRST complex from cardiac cycles during 10s was selected. Twenty-eight morphological parameters were calculated including both conventional conduction intervals and VCG-derived parameters. The reliability and reproducibility of these parameters were evaluated when using completely automatic and automatic but manually edited annotation points.

Results

In 1080 participants (98.7%) our automatic method reliably selected a representative QRST complex where its instability measure effectively identified signal variability due to both external disturbances (”noise”) and physiologic and pathophysiologic variability, such as e.g. sinus arrhythmia and atrial fibrillation. There were significant sex-related differences in 24 of 28 VCG parameters. Some VCG parameters were insensitive to the instability value, while others were moderately sensitive.

Conclusion

We developed an automatic process for identification of a signal-averaged QRST complex suitable for morphologic measurements which worked reliably in 99% of participants. This process is applicable for all non-invasive analyses of cardiac electrophysiology including risk stratification for cardiac death based on such measurements.

Introduction

Cardiac arrest and sudden cardiac death (SCD) is a major health problem and mainly due to an electrical disturbance although other etiologies exist [1]. Furthermore, electrical abnormalities such as wide QRS-T angles have in various cohorts shown prognostic value regarding cardiac events including SCD even beyond conventional demographic and clinical variables and are preferentially assessed from the Frank vectorcardiogram (VCG) [212].

The recording of the VCG differs mainly from standard electrocardiography (ECG) by placing one electrode on the back and one on the neck [11]. The VCG related information is based on three orthogonal leads (X, Y and Z) from which the P, QRS and T vector loops can be defined as well as one global QRST complex from QRSTx, QRSTy and QRSTz; S1 Fig. Unique for VCG are: 1) measures of amplitudes and directions of the QRS complex and T wave, 2) measures of global heterogeneities (from here dispersion) and separately for depolarization (QRS) and repolarization (T), 3) the ST vector magnitude reflecting ischemia, 4) measures of QRS- and T-loop complexity, and 5) the most accurate definition of the spatial QRS-T angles [13]. Despite strong scientific evidence of its prognostic value, as reviewed in [57], assessment of the QRS-T angles and other VCG-based measures has not yet become clinically established. There are multi-factorial reasons which include lack of standardization of recording and analysis methodology, lack of easily accessible interpretations of data and user friendly presentation of their implications. In this study we focused on obtaining accurate VCG-based parameters and not on the diagnostic performance or specific clinical applications of VCG which have been dealt with before [57, 13]. An automatic and reliable procedure for obtaining VCG derived parameters is one requirement towards clinical application of VCG and was the rationale behind this study.

In preparation for a Swedish population based study on cardiovascular and pulmonary risk factors, the Swedish CArdio-Pulmonary bioImage Study (SCAPIS, a pilot SCAPIS study with 1111 participants was initiated where Frank VCG was part of the day-2 protocol (n = 1095) [14]. These recordings provided a suitable data base for developing an automatic method. The aim of the study was therefore to develop a robust operator independent method applicable and appropriate for use in the upcoming main SCAPIS as well as in other studies and eventually for easy application in a clinical setting. This aim was achieved by a process which is applicable for all non-invasive analyses of cardiac electrophysiology whether based on Frank VCG or not. A step towards clinical implementation of VCG derived parameters for prognostic and other purposes was taken.

Materials and methods

Study participants

The participants were enrolled on a population basis among people 50–64 years living in the city of Gothenburg 2012 aiming at similar proportions of women and men as described in detail elsewhere [14, 15]. The total target population consisted of 24,502 individuals. An invitation letter to participate in SCAPIS was sent to 2243 randomly selected individuals from 6 residential areas, which were selected to represent opposite extremes of socioeconomic status. The overall participation rate was 50% (1111 of 2243) but varied between the areas [15]. VCG recording was performed in all 1095 day-2 SCAPIS pilot participants by study personnel (staff nurses). One recording failed due to unobserved electrode dislodgement. The remaining 1094 constitute the study group.

Fifty participants (27 women) volunteered a second recording which allowed reproducibility assessment in this subgroup. The second recording was performed at a time-point of the participants’ own choice because of the very tight 2-day schedule they already had agreed to undergo. Their mean age (SD) was 57 (4) years. In 22 of them, recordings were performed with ≥1month’s interval while in 28 the second recording was performed the same day as the first but after removal of the electrode patches and with another operator performing the procedure after a time interval.

The research project was approved by the Regional Ethics Committee in Gothenburg, Sweden, on December 8, 2016, #1009–16. All participants provided written consent to all data collection.

VCG recordings and on-line analysis

The methodology followed the basic principles applied in our previous studies [1618]. The protocol stipulated 5 minutes of supine rest with closed eyes and no conversation to allow heart rate stabilization and heart rate adaptation of ventricular repolarization before the VCG recording period of ≥5 min (preferably 8–10 min). The CoroNet II system (Ortivus AB, Danderyd, Sweden) was used. Five electrodes were positioned around the chest (one in the back) aiming at the level of the 5th rib’s insertion on the sternum, one in the neck, and one each on the left and right hip [11]. The electrodes on the back and neck (for Z- and Y-leads) were placed beside the spinous processes to optimize comfort. Signals were sampled at 500Hz with an amplifier bandwidth of 0.03 to 170Hz and the orthogonal X-, Y- and Z-leads were calculated according to Frank [12]. From consecutive 10s-periods of cardiac cycles with dominant QRST-morphology and good signal quality, signal-averaged QRST complexes (saQRST) from all cardiac cycles fulfilling these criteria were calculated during the automatic on-line analysis of the recording to improve the signal-to-noise ratio.

Automatic VCG post-analysis

The analysis software was developed from the CoroNet platform (Ortivus AB, Danderyd, Sweden) but using the tangent method for defining the end of the T wave which we have applied in beat-to-beat analyses of ventricular repolarization dynamics [1618].

For manual correction of annotation points (calipers), a graphical interface was used showing the automatic annotation points marked in a presentation where the X-, Y- and Z-leads and the magnitude of the QRST complex are superimposed; S1 Fig. See also Glossary and definitions in the S1 Appendix.

In brief, the aim of the post-analysis procedure was to identify the most representative 10s-saQRST complex among those created during the on-line VCG recording. The key property of this complex would be its similarity to the surrounding complexes indicating stable conditions. The first step was therefore to identify stable parts of the recording defined as the presence of 7 consecutive 10s-saQRST complexes (70s of the recording). In the next step, qualified segments were selected when the middle 5 consecutive saQRST complexes out of the 7 each contained ≥3 cardiac cycles with dominant QRST morphology, representing 50s of the recording. An instability value was calculated for each qualified segment based on the variability between its 5 10s-saQRST complexes. Finally, a representative 10s-saQRST complex was searched for among the 5 in the qualified segment with the lowest instability value. Representative in this context means the 10s-saQRST complex out of the 5 possible which was most similar to the average of the 5 complexes. The representative 10s-saQRST complex selected by this procedure was used for the calculation of all morphologic parameters. The process ending in the selection of a representative 10s-saQRST complex comprised 3 main steps utilizing 2 basic procedures. These procedures illustrated in Fig 1 were: 1) Alignment In order to compare QRST complexes or to create a saQRST complex, they were aligned by sliding and superimposing them in the time dimension, searching for the minimum difference in the interval between the QRS onset and the QRS peak. By using the method of difference calculation contributions over the entire QT interval were given equal importance regardless of at what signal level they occurred, i.e. a difference of 10μV close to onset and a difference of 10μV close to the peak will have the same impact. 2) Difference calculation The difference between 2 complexes was defined as the mean difference of the sample values (one per 2ms) of the entire QT interval (QRSonset to Tend) after alignment as in 1). We focused on major deviations; any difference in an X-, Y- or Z-lead equal to just one shift in digitalization (2.5μV amplitude resolution) potentially only related to very little noise was therefore suppressed. Thus, all difference values less than 5μV in a lead were set to 0. This suppression was done before calculation of the sample difference value as [dx2+dy2+dz2]½ where dx, dy and dz are the differences in the X-, Y- and Z-leads. The difference calculation resulted in an instability value. The details of the 3-step process are described in the next paragraphs.

Fig 1. Alignment process and difference calculation.

Fig 1

The upper panel shows the sliding and superimposition of the red QRST complex that was to be compared with the fixed blue QRST complex. The middle panel shows the alignment of the 2 QRST complexes and their difference in one lead in a short segment of the QT interval. The lower panel shows the calculation of the signal difference in the specific segment displayed in the middle panel. This procedure was used for 1) characterizing the stability of each 50s-segment of the recording (consisting of 5 consecutive 10s-signal-averaged complexes; saQRST complexes); 2) selecting the segment with least variability; 3) from the selected segment choose the 10s-saQRST complex which was most similar to the average complex of the selected 50s-segment. Comparisons were made at each 2ms-step (time resolution at sampling rate 500Hz) and the absolute amplitude difference over the QT interval was defined (entire QRST complex). The amplitude resolution was 2.5 μV and for each comparison all differences ≥5μV were used to calculate an instability value (no unit because small differences are not included).

1. Identifying qualified segments of the VCG recording

The first step was to identify stable parts of the recording defined as the presence of 7 consecutive 10s-saQRST complexes (70s of the recording) with the dominant morphology and of good quality. The middle 5 of the 10s-saQRST complexes constitute a so called qualified segment. Although, the protocol stipulated 5 minutes of supine rest followed by ≥5 min of VCG recording, the first 2 minutes of the recording were avoided to ascertain optimal recording conditions. In addition, the final minute was excluded because it might contain disturbances if the participant became aware of the approaching end of the recording. When the recording period was <6 minutes, the discarded interval was gradually decreased to exclude half the recording period, 2/6 in the beginning and 1/6 of the recording at the end. When the available recording was <3 minutes or if no qualified segment was found in the selected part of the recording, any part of the recording including 5 consecutive 10s-saQRST complexes was accepted for further assessment.

2. Selection of the qualified segment where complexes were most similar; variability calculation

The variability of the signal was defined as the difference between the 5 consecutive 10s-saQRST complexes in a qualified segment of the recording. This difference was assessed by keeping one of the complexes fixed and the other 4 individually aligned. The difference between the fixed and aligned complexes was calculated and averaged as described in Fig 1. The procedure was repeated with each of the 5 saQRST complexes kept fixed and the lowest total difference of the 5 became the instability value assigned to the qualified segment. Every qualified segment was evaluated according to this procedure as illustrated by the flowchart in Fig 2. The qualified segment with the lowest instability value was selected as input for the final step and referred to as the selected segment.

Fig 2. Flow-chart showing the series of instability calculations.

Fig 2

The flow-chart describes the process for arriving at an instability value for a 50s qualified segment consisting of 5 consecutive 10s-signal-averaged-complexes (saQRST complexes) of the recording applying the methods described in Fig 1. This process was repeated for all qualified 50s segments of an individual recording and the segment with least variability was referred to as the selected segment from which the most representative 10s-saQRST complex was chosen for the calculation of 28 vectorcardiographic parameters.

3. Selecting the representative 10s-saQRST complex for the entire recording

The selected segment saQRST complex was calculated as the average of the 5 10s-saQRST complexes with the same one kept fixed (and the other 4 aligned) as gave the lowest instability value in step 2. All 5 10s-saQRST complexes in this segment were then aligned to the segment saQRST complex (i.e. to their average). The individual 10s-saQRST complex that had the smallest difference–was most similar—to the segment saQRST complex was selected as the representative 10s-saQRST complex for the entire recording and then used for the fully automatic measurement of 28 VCG derived parameters.

Comparison of the representative algorithm selected vs. an arbitrary saQRST complex

The rationale behind this comparison was to test if a 5min pre-recording period of supine rest in itself resulted in subsequent recording segments of comparable stability as those identified through a rather extensive algorithm described in the previous sections. The 4th 10s-saQRST complex from the beginning of each recording was arbitrarily chosen as comparator; i.e. representing an early part of the recording. This 10s-saQRST complex was analyzed in the same fully automatic way as the representative 10s-saQRST complex. We compared the actual parameter values as well as their reproducibility calculated as the coefficients of variation. Altogether 100 recordings (paired observations from the 50 participants studied twice) were eligible, but both recordings from one participant were excluded due to data not fulfilling the requisites of the automatic analysis.

Assessment of fully automatic vs. manually edited automatic annotation points

In the same algorithm selected representative 10s-saQRST complex, we compared VCG parameters from automatically set annotation points vs. manually edited annotation points. In order to avoid inter-observer variability one of the authors (L.B.) did the manual editing as described in the legend to S1 Fig. The same procedure as in the preceding paragraph was used with comparison of parameter values and the coefficients of variation.

Quality validation, reasons for high instability values, and effect on VCG parameters

The instability value was both a tool in the selection process of the representative 10s-saQRST complex and a measure of its reliability or quality. The function for such a quality assessment was primarily to detect and signal technically unsatisfactory recordings that warranted manual editing by the investigator. We tested that this goal was achieved by 3 procedures. Two were manual and performed by one of the authors (G.L.) and the third was automatic. A) When there was a high instability value, the cause was categorized as due to: 1) external disturbances coming from technical problems or body movements, and 2) internal variations coming from breathing or variation in RR-intervals. Starting with the recordings with the highest instability values, a batch of 20–25 recordings were scrutinized. In a stepwise fashion another batch of recordings with successively lower instability values were scrutinized until a level was reached where the instability value had a low likelihood of being caused by external disturbances. B) The recording segment with the representative 10s-saQRST complex was compared with the rest of the recording to verify if it was from the most stable part in terms of disturbances, heart rate, and morphological parameters, and as a consequence suitable for morphologic analysis. C) Using the 5 10s-saQRST complexes in the selected segment, the relation between their instability value and their range (maximum–minimum) in the VCG parameter values (e.g. the QT interval) within this segment was tested by regression analysis.

Statistical methods

Median and quartiles (Q1 and Q3) were used for descriptive purposes because most clinical variables and VCG parameters had non-Gaussian distributions according to the Shapiro-Wilk test with p-values <0.05. Between-group comparisons were performed with the Mann-Whitney and the chi-square tests. Reproducibility was assessed by the coefficient of variation (%), which was computed as the intra-individual standard deviation (s) divided by the mean of all values for each parameter (here 98 values) multiplied by 100 for percent. The intra-individual standard deviation was calculated as [(Σ d12/2+…+dn2/2)/n]½ where d is the difference between the 2 paired observations in each of the 49 participants studied twice [19]. The Wilcoxon matched pairs test was used to analyze the comparisons of coefficients of variation. The Spearman rank order correlation coefficient (rs) was calculated in the correlation analyses. A p-value < 0.05 was considered significant.

Results

Study participants

Table 1 presents demographic and clinical characteristics. There were 550 women and 544 men and their median age (Q1-Q3) was 57.6 (54.8–61.7) years without sex difference. The most common disorder among the participants was hypertension present in 364 of whom 53 also had diabetes while 33 had diabetes alone. Various other cardiovascular risk factors were also common. Men were not only taller and heavier but also had higher BMI and blood pressure and more often atrial fibrillation and diabetes (and hence higher blood glucose). Men also had higher triglycerides, Apo B/Apo A1, hemoglobin, ALT and creatinine. In contrast, women more often had cancer and rheumatic disease and had higher total cholesterol due to higher HDL (the beneficial lipoprotein).

Table 1. Demographic and clinical characteristics of the population sample.

All participants Women Men
n = 1094 n = 550 n = 544
Variable/parameter Median (Q1-Q3) Median (Q1-Q3) Median (Q1-Q3) p-value
Age [yrs] 57.6 (54.8–61.7) 57.5 (53.7–61.4) 57.7 (53.9–62.0) NS
Weight [kg] 80.0 (69.0–90.0) 70.4 (63.7–80.1) 87.0 (80.0–96.0) <0.001
Height [m] 1.71 (1.64–1.79) 1.65 (1.60–1.69) 1.78 (1.73–1.83) <0.001
BMI [kg m-2] 26.6 (24.4–29.4) 26.0 (23.4–29.4) 27.2 (25.2–29.6) <0.001
SBP left arm [mmHg] 123 (114–135) 121 (111–131) 125 (116–137) <0.001
SBP right arm [mmHg] 121 (112–132) 118 (107–129) 123 (114–134) <0.001
DBP left arm [mmHg] 75 (68–81) 72 (66–78) 77 (72–83) <0.001
DPB right arm [mmHg] 73 (68–80) 71 (64–76) 75 (70–82) <0.001
High blood pressure [n (%)] 220 (20) 90 (16) 130 (24) <0.01
Disease history n (%) n (%) n (%) p-value
Myocardial infarction 12 (1.1) 3 (0.5) 9 (1.7) NS
Coronary revascularization 19 (1.7) 5 (0.9) 14 (2.6) NS
Heart failure 10 (0.9) 2 (0.4) 8 (1.5) NS
Valve disease 3 (0.3) 1 (0.2) 2 (0.4) NS
Stroke 11 (1.0) 5 (0.9) 6 (1.1) NS
Atrial fibrillation 30 (2.7) 9 (1.6) 21 (3.9) <0.01
Hypertension 364 (33.3) 189 (34.4) 175 (32.2) NS
Diabetes 86 (7.9) 28 (5.1) 58 (10.7) <0.001
Cancer 80 (7.3) 56 (10.2) 24 (4.4) <0.001
Rheumatic disease 74 (6.8) 47 (8.5) 27 (5.0) <0.05
Prescribed medication 489 (44.7) 262 (47.6) 227 (41.7) NS
Smoking habits n (%) n (%) n (%) p-value
Never smoked 472 (43.1) 245 (44.5) 227 (41.7) NS
Active smoker 161 (14.7) 81 (14.7) 80 (14.7) NS
Occasional smoker 36 (3.3) 23 (4.2) 13 (2.4) NS
Ex-smoker 421 (38.5) 198 (36.0) 223 (41.0) NS
Blood analyses Median (Q1-Q3) Median (Q1-Q3) Median (Q1-Q3) p-value
Cholesterol (total) [mmol L-1] 5.7 (5.0–6.5) 5.9 (5.2–6.6) 5.6 (4.8–6.3) <0.001
LDL [mmol L-1] 3.8 (3.1–4.4) 3.8 (3.1–4.4) 3.8 (3.1–4.4) NS
HDL [mmol L-1] 1.6 (1.3–2.0) 1.8 (1.5–2.2) 1.4 (1.2–1.7) <0.001
Triglycerides [mmol L-1] 1.1 (0.8–1.6) 1.0 (0.7–1.4) 1.2 (0.9–1.8) <0.001
Apo B/Apo A1 ratio [unitless] 0.66 (0.54–0.81) 0.62 (0.51–0.74) 0.71 (0.57–0.87) <0.001
Glucose [mmol L-1] 5.6 (5.2–6.1) 5.5 (5.1–5.8) 5.8 (5.5–6.3) <0.001
HbA1c [mmol L-1] 35 (33–38) 35 (33–38) 35 (33–38) NS
Hemoglobin [g L-1] 140 (132–149) 134 (127–139) 148 (141–153) <0.001
ALT [μkat L-1] 0.43 (0.34–0.57) 0.39 (0.31–0.50) 0.48 (0.38–0.63) <0.001
hsCRP [mg L-1] 1.3 (0.6–2.8) 1.4 (0.6–3.0) 1.3 (0.7–2.6) NS
Creatinine [μmol L-1] 78 (69–88) 70 (63–76) 86 (79–94) <0.001

Characteristics of the population sample with available recordings and comparisons between women and men (Mann-Whitney test and Χ2 with Yates correction). Median (Q1-Q3). (<1% data missing for each item).

systolic blood pressure ≥140 and/or diastolic blood pressure ≥90 mmHg

including 4 newly diagnosed cases among 9 with this arrhythmia during the VCG recording

The 12-lead ECG estimated from the Frank VCG was normal in 62% of the participants according to the evaluation performed by one of the authors (L.B.). Unspecific ST-T changes were the most common deviations from normality (9.9%), followed by premature ventricular extra-beats, fascicular blocks, and early repolarization which each of them was observed in 5–6% of participants. Sinus bradycardia, premature atrial extra-beats, first degree atrioventricular block, bundle branch block, and T-wave inversions was each of them observed in 1–4%, while pathological Q-waves, atrial tachycardia or atrial fibrillation and prolonged intraventricular conduction (QRS≥120ms) without typical bundle branch block pattern each was observed in <1%.

Data acquisition and selection of representative 10s-saQRST complex

The protocol stipulated ≥5 minutes of recording time which was achieved in all but 10 participants (1084, 99.1%). Three recordings did not provide enough data for the automatic post-analysis and were therefore excluded. The median (Q1-Q3) duration of the remaining 1091 recordings was 9.2 (8.2–9.7) min with distribution according to S2 Fig. In 1059 recordings (97.1%) the first 2 and the last minute of the recording were excluded as planned, while in 32 recordings parts of these periods were included in the search for stable segments. In 3 cases, the entire recording was searched for 5 consecutive 10s-saQRST complexes.

In 11 recordings atrial activity was superimposed on the QRST interval, 9 due to atrial fibrillation and 2 due to competing sinus and junctional rhythms. In 5 out of 9 recordings with atrial fibrillation the instability value was >12 (cut-off limit chosen for reasons discussed below), and we decided to exclude all recordings with this arrhythmia as well as both recordings with competing sinus and junctional rhythms which both had instability values >12.

The automatic post-analysis included the remaining 1080 subjects with sinus rhythm (98.7%; 547 women, 533 men). VCG parameters from these 1080 participants were calculated from automatic annotation points on the representative 10s-saQRST complex (Table 2). Sex-related differences were the rule and observed for 24 (86%) out of 28 VCG parameters. Only QRSamplitude, QRSarea, QRSazimuth and QRSarea azimuth did not differ significantly between women and men. Most differences were, however, <5%, including longer QT and QTc duration in women as expected. The QRS duration was 7% larger in men. The direction of the QRS- and QRSarea-vector and T- and Tarea-vector was more cranial and the T-vector also directed more forward in the transversal plane in men than in women [measured as elevation from down-ward and up and as azimuth in the transversal plane from left towards right in a frontal (0 to 180°) or dorsal (0 to -180°) direction]. The dispersion parameters Tamplitude, Tarea and Ventricular gradient were larger (27, 36 and 14%) and the Peak and Mean QRS-T angles were wider in men (48 and 30%) (S1 Dataset). These VCG parameters thus pointed towards higher risk for cardiac events in men. The same pattern was observed when comparisons were made among 319 apparently healthy participants (151 women) without any acute or chronic disease, chronic medication, or pathologic blood tests; S1 Table.

Table 2. Vectorcardiographic based parameters in 1080 women and men.

All participants Women Men p-value
n = 1080 n = 547 n = 533
Median (Q1-Q3) Median (Q1-Q3) Median (Q1-Q3)
Heart Rate [bpm] 68 (61–75) 69 (63–76) 66 (60–73) <0.001
PQ [ms] 164 (150–182) 162 (148–178) 168 (154–184) <0.001
QRS [ms] 94 (88–104) 92 (86–102) 98 (92–106) <0.001
QTpeak [ms] 306 (290–324) 312 (294–328) 300 (284–316) <0.001
QT [ms] 392 (372–412) 396 (376–418) 386 (368–408) <0.001
QTcB [ms] 415 (398–435) 424 (408–443) 405 (391–425) <0.001
QTcF [ms] 406 (392–424) 413 (400–431) 398 (387–415) <0.001
QTcFram [ms] 406 (393–424) 414 (401–432) 399 (388–414) <0.001
QTcH [ms] 406 (391–423) 412 (399–430) 398 (387–414) <0.001
Tpeak-end [ms] 82 (76–92) 82 (74–92) 84 (76–94) <0.01
Tpeak-end/QT [unitless] 0.21 (0.20–0.24) 0.21 (0.19–0.23) 0.22 (0.20–0.24) <0.001
QRSamplitude [mV] 1.30 (1.05–1.59) 1.28 (1.04–1.56) 1.31 (1.06–1.64) NS
QRSarea [μVs] 29 (21–37) 28 (21–36) 29 (21–38) NS
QRSelevation [°] 57 (48–67) 51 (44–61) 63 (54–73) <0.001
QRSarea elevation [°] 57 (45–71) 51 (41–64) 62 (51–78) <0.001
QRSazimuth [°] 4 (-8-14) 3 (-8-13) 5 (-8-15) NS
QRSarea azimuth [°] -12 (-29-4) -12 (-27-3) -13 (-31-5) NS
Tamplitude [mV] 0.29 (0.22–0.39) 0.26 (0.19–0.35) 0.33 (0.25–0.43) <0.001
Tarea [μVs] 39 (28–50) 33 (25–44) 45 (35–56) <0.001
Televation [°] 53 (44–61) 47 (40–54) 58 (52–65) <0.001
Tarea elevation [°] 53 (45–61) 47 (40–55) 59 (52–65) <0.001
Tazimuth [°] 32 (19–45) 27 (13–39) 37 (27–50) <0.001
Tarea azimuth [°] 41 (30–54) 39 (25–52) 44 (34–56) <0.001
Peak QRS-T angle [°] 26 (16–43) 21 (13–35) 31 (20–50) <0.001
Mean QRS-T angle [°] 46 (28–68) 40 (24–59) 52 (34–75) <0.001
Ventricular gradient [μVs] 59 (46–77) 56 (45–72) 64 (50–83) <0.001
Tavplan [μV] 0.35 (0.26–0.47) 0.32 (0.25–0.42) 0.36 (0.28–0.50) <0.001
Teigenvalue [unitless] 31 (13–78) 43 (15–93) 23 (11–57) <0.001

Frank vectorcardiogram parameters from automatic analysis of the 10s-signal-averaged QRST complexes in the 1080 participants of the population sample with comparisons between women and men (Mann-Whitney test). Median (Q1-Q3) (<1% data missing for each item).

Comparison of representative algorithm selected vs. an arbitrary saQRST complex

The data from this comparison are shown in Table 3. Although these saQRST complexes were from different parts of the recording, the heart rate and the number of beats show that in general all cardiac cycles were of dominant morphology with good signal quality during the 10s-sampling periods. The coefficients of variation for the arbitrarily chosen 4th “early” 10s-saQRST complex were larger for 13 out of 18 parameters. The largest improvements with the algorithm were observed for the conventional conduction intervals where the difference in CV was up to 50%. Overall, there was, however, no statistically significant difference when applying the Wilcoxon test for matched pairs (p = 0.14).

Table 3. Comparison of the time-dependent variability for the representative algorithm selected vs. the 4th 10s-saQRST complex of the recording.

Data set: 10s-saQRST complex automatic annotation algorithm selected 10s-saQRST complex automatic annotation 4th”early” CV difference
Parameter x (s) CV x (s) CV %
Beat count [n/sample] 11(1) 8.7 11(1) 8.4 -3.1
Heart rate [bpm] 66 (4) 6.0 67 (4) 6.1 2.0
PQ [ms] 167 (6) 3.7 166 (7) 4.1 11.7
QRS [ms] 95 (5) 4.9 94 (5) 5.6 14.7
QT [ms] 392 (12) 3.0 392 (14) 3.7 20.6
QTpeak [ms] 308 (7) 2.3 308 (8) 2.4 4.5
QTcB [ms] 410 (13) 3.1 413 (19) 4.7 50.0
Tpeak-end [ms] 83 (11) 13 84 (13) 15 14.9
Tpeak-end/QT 0.21 (0.02) 9.2 0.21 (0.02) 10.8 17.1
QRSarea [μVs] 31 (4) 13 31 (4) 12 -4.9
QRSamplitude [mV] 1.35 (0.15) 11 1.35 (0.14) 10 -4.9
Tarea [μVs] 45 (8) 18 46 (9) 19 9.6
Tamplitude [mV] 0.35 (0.07) 20 0.36 (0.06) 18 9.8
Peak QRS-T angle [°] 34 (15) 45 34 (16) 47 3.9
Mean QRS-T angle [°] 48 (7) 14 49 (7) 15 6.0
Ventricular gradient [μVs] 69 (9) 13 70 (10) 14 5.7
Tavplan [μV] 0.36 (0.10) 29 0.37 (0.10) 27 -7.9
Teigenvalue [unitless] 130 (262) 201 120 (284) 237 17.8

The sample mean (x), intra-individual standard deviation (s) and coefficients of variation (CV in %) for selected VCG parameters based on repeated recordings from 49 participants studied on 2 occasions for the algorithm selected representative saQRST complex and a randomly selected early (4th) saQRST complex. The sample mean is based on 98 observations to represent the denominator in the CV calculations. CV difference (in %) between CV(4th) and CV(algorithm).

Assessment of fully automatic vs. manually edited automatic annotation points

The data from this comparison performed on the representative 10s-saQRST complex are shown in Table 4. The unedited automatic annotations of the 10s-saQRST complexes gave similar results as manual editing of the annotations (Wilcoxon test for matched pairs, p = 1.0).

Table 4. Assessment of fully automatic vs. manually edited annotation points.

Data set: 10s-saQRST complex automatic annotation 10s-saQRST complex edited annotation
Parameter x (s) CV x (s) CV
Beat count [n/sample] 11 (1) 8.7 11 (1) 8.7
Heart rate [bpm] 66 (4) 6.0 66 (4) 6.0
PQ [ms] 167 (6) 3.7 165 (6) 3.4
QRS [ms] 95 (5) 4.9 98 (5) 5.6
QT [ms] 392 (12) 3.0 392 (10) 2.5
QTpeak [ms] 308 (7) 2.3 310 (7) 2.4
QTcB [ms] 410 (13) 3.1 410 (12) 2.9
Tpeak-end [ms] 83 (11) 13 82 (9) 11
Tpeak-end/QT 0.21 (0.02) 9.2 0.20 (0.02) 8.4
QRSarea [μVs] 31 (4) 13 31 (4) 13
QRSamplitude [mV] 1.35 (0.15) 11 1.35 (0.15) 11
Tarea [μVs] 45 (8) 18 45 (8) 17
Tamplitude [mV] 0.35 (0.07) 20 0.35 (0.07) 20
Peak QRS-T angle [°] 34 (15) 45 34 (16) 46
Mean QRS-T angle [°] 48 (7) 14 48 (7) 14
Ventricular gradient [μVs] 69 (9) 13 69 (9) 13
Tavplan [μV] 0.36 (0.10) 29 0.35 (0.10) 30
Teigenvalue [unitless] 130 (262) 201 137 (312) 228

The sample mean (x), intra-individual standard deviation (s) and coefficients of variation (CV in %) for selected VCG parameters based on repeated recordings from 49 participants studied on 2 occasions. The sample mean is based on 98 observations to represent the denominator in the CV calculations.

Quality validation, reasons for high instability values, and effect on VCG parameters

This part of the study was performed on the 1080 recordings qualifying for VCG measurements. The median (Q1-Q3) instability value, based on the 5 consecutive 10s-saQRST complexes in the selected qualified segment, was 4.2 (3.2–5.6) and their distribution is shown in S3 Fig.

Table 5 shows A) the reasons for high instability values, B) if the selected 50s- qualified segment was from the most stable part of the entire recording, and C) if the 10s-saQRST complex that had been selected was representative and of good quality. According to manual scrutiny of 70 recordings with the highest instability values, the higher the instability value, the more likely the reason was external disturbances. Furthermore, in 29 of the 33 recordings where the main reason for a high instability value was external disturbances, these were mainly caused by problems from the neck electrode (affecting the Y-lead in the orthogonal system); S4 Fig panel a. A high instability value, however, also reflected internal sources of variability due e.g. to breathing or RR variability; S4 Fig panel b. Manual scrutiny also confirmed that the automatic process had identified the 50s-recording segment from the most stable part of the recording. Finally, the selected 10s-saQRST complex was representative and of good quality for calculating the VCG parameters when the instability value was ≤12. Five recordings with instability values exceeding 12 were less satisfactory.

Table 5. Recordings with high instability values.

Reason for high instability value Selected qualified segment from the most stable part of the recording? Selected complex representative and of good quality?
Instability value Number of recordings External disturbances Internal variations Yes Yes
n (%) n (%) n (%) n (%)
>12 22 20 (91) 2 (9) 22 (100) 17 (77)
9.5–12 25 8 (32) 17 (68) 25 (100) 25 (100)
8.8–9.5 23 5 (22) 18 (78) 23 (100) 23 (100)

Data from stepwise assessment of the 70 recordings with highest instability values in the selected qualified 50s-segments with the representative 10s-saQRST complex.

The relation between the instability value and the range (maximum–minimum) of VCG parameter values among the 5 10s-saQRST complexes within the selected 50s-segment are exemplified in Fig 3 (panels a-c for QT interval, Mean QRS-T angle, and Ventricular gradient) with additional examples in the S5 Fig (panels a-e for QTpeak, Tpeak-end, Tamplitude, Tarea, and Peak QRS-T angle). The ranges in the ventricular repolarization dispersion parameters Tamplitude, Tarea and Ventricular gradient showed a moderate correlation with the instability value (rs2-values: 0.30, 0.25 and 0.26; p<0.001 for all). There was also statistically significant albeit weak biological correlations between the range in QTpeak (but not the entire QT interval), as well as for the Peak and Mean QRS-T angles on one side and the instability value on the other (rs2<0.05). Fig 3 and S5 Fig also show that in some individuals there were large ranges within the selected segment without relation to the instability value. Fig 4 illustrates how the ranges in QT are inversely related to the Tamplitude; the lower the Tamplitude the larger the range in the QT interval, most obvious for Tamplitudes <200μV.

Fig 3. The relation between the instability value and the range for 3 vectorcardiographic parameters.

Fig 3

Panels a-c show graphs of the relation between the ranges (maximum-minimum values) of vectorcardiographic parameters among the 5 consecutive 10s-saQRST complexes in the selected 50s-segment and its instability value (no unit); the QT interval (panel a; rs = 0.06; NS; rs2<0.01), the Mean QRS-T angle (panel b; rs = 0.15; p<0.001; rs2 = 0.02), and the Ventricular gradient (panel c; rs = 0.51; p<0.001; rs2 = 0.265). rs is the Spearman rank order correlation coefficient. More examples are shown in S5 Fig.

Fig 4. The lower the T wave amplitude the greater the QT range.

Fig 4

This graph shows the inverse relation between the ranges in QT (maximum-minimum value) in the selected 50s-segment and the T-wave amplitude. The lower this amplitude the greater the differences in Tend and therefore also in the QT interval (rs = -0.48; p < 0.001; rs2 = 0.23). rs is the Spearman rank order correlation coefficient.

Discussion

This study presents a method for automatic identification of a representative 10s-signal-averaged QRST complex from continuous Frank VCG recordings for the non-invasive evaluation of cardiac electrophysiology in humans. This method is, however, applicable for all non-invasive electrophysiological analyses whether based on Frank VCG or not. A quality measure (instability value) was implemented which identified the presence of external disturbances as well as physiological or pathophysiological variability, both potentially affecting VCG parameters and warranting manual scrutiny. The procedure proved feasible in 1080 (98.7%) of 1094 available recordings from a randomized population sample with equal proportions of women and men. The values of most VCG parameters differed significantly between women and men with the largest differences observed for the Peak and Mean QRS-T angles (48 and 30% larger in men), which are scientifically well-established risk-markers for cardiac death including SCD [211]. Men also had significantly larger heterogeneity (dispersion) of ventricular repolarization measured as Tamplitude, Tarea and the Ventricular gradient, which might reflect their higher propensity for ventricular arrhythmias and sudden cardiac death.

Computerized electrocardiographic analysis is nothing new. An initiative for cooperation and standardization was published >30 years ago [the Common Standards for Quantitative Electrocardiography (CSE) project] [20]. Modern ECG equipment offer computerized calculations of PR, QRS and QT/QTc intervals as well as diagnostic interpretations. There is, however, an increasing interest in vectorcardiography-based analyses of electrocardiographic recordings for reasons summarized in the Introduction [13]. The literature on this topic describes results obtained with various customized computerized methods for VCG analyses mostly based on estimates from standard 12-lead ECG [57]. Focusing on the QRS-T angle, Schreurs et al. in 2010 reported the first validation of such estimates from standard 12-lead ECG when comparing 3 methods with Frank VCG as “gold standard” [4]. Even with the best method on the group level (referred to as the Kors matrix), there were in many cases considerable differences according to their Bland-Altman analysis [4; Fig 2]. Furthermore, and already within the CSE project, 19 computerized programs were compared, 10 based on 12-lead ECG and 9 on Frank VCG (XYZ); Willems and co-authors stated: “In general the measurement performance of XYZ programs was better than that of 12-lead programs.” [20; p. 532]. The same authors commented on the importance of sufficient sampling size (recording duration) and on a high signal sampling rate using 500Hz in the CSE library as the standard. The present study was based on the Frank XYZ system, standardized supine rest during 5 minutes before the recording for ≥5min and using a sampling rate of 500Hz. We focused on obtaining high-quality data in both a technical and physiological sense but neither on the diagnostic performance in relation to specific diseases nor on comparisons between different vectorcardiography approaches or between VCG and 12-lead ECG; those issues are outside the scope of this study.

Methodological aspects, limitations, and implications

The time-limiting step of the recording phase was defined by the hysteresis of the ventricular repolarization adaptation to a change in heart rate which is minimum 3 min [18, 21]. A 5 min resting period with closed eyes during silence therefore preceded a recording period ≥5min. This is different from the routines for recording clinical 12-lead ECGs, where the recording starts as soon as the electrodes have been attached and patient-related data has been entered into the recording system. In thorough QT testing for evaluation of the arrhythmogenic potential of pharmaceutical substances, however, a pre-recording period of 10 min is common (personal communication, Börje Darpö, MD PhD, Chief Scientific Officer, ERT®).

The goal of our procedure was an entirely unbiased process to identify stable 50s-periods of the entire recording for selecting at least one “qualified segment” free of noise and baseline drift. And within “the best” qualified segment (lowest instability value) select a representative 10s-saQRST complex for subsequent operator-independent calculation of VCG parameters. A fully automatic system also needs a built-in warning signal advising the user of the possibility of disturbances potentially affecting the precision/reliability of VCG parameters. Our quality measure–the instability value–serves this function by evaluating the variability between consecutive saQRST complexes. Such instability may, however, be due both to external sources (noise) and to physiological or abnormal pathophysiological variability. Increased heart rate (or RR) variability might be due to physiological sinus arrhythmia or to sinus node dysfunction [22]. Atrial fibrillation is another reason for increased and completely random RR variability. Atrial fibrillation may also affect the precision of the VCG parameters by the continuous atrial activity superimposed on the QRST complex and not cancelled out by signal-averaging in the QRST complexes. Furthermore, increased ventricular repolarization variability is a salient feature of the long QT syndrome and other arrhythmia prone conditions [2325]. Guided by the instability value, 70 recordings with the highest values were picked for manual scrutiny. The higher value, the more likely was external disturbances the source. Among the 48 recordings with values between 8.8 and 12, no selected 10s-saQRST complex had disturbances due to external sources. We therefore suggest that recordings with an instability value >12 should be manually inspected for signal quality and source of variability. Atrial fibrillation (9 recordings) and atrial flutter (although not observed in this study) as well as competing sinus and junctional rhythms (as in 2 participants in this study) are sources of signal instability. A high instability value might therefore signal the presence of such arrhythmias, which a closer inspection of the recording will confirm.

Assuming that not all VCG parameters would be equally sensitive to signal instability, we also performed an analysis regarding the relation between the instability value and the ranges of some VCG parameters reflecting ventricular repolarization duration and dispersion and the QRST-angles, as illustrated by Fig 3 and S5 Fig. The dispersion parameters were more sensitive to signal variability than the QT and QTpeak intervals as well as the QRS-T angles. This could be expected in view of the chosen procedure for calculating the instability value which was based on differences in sample values (Fig 1). Furthermore, the annotation point for the end of the T-wave, and consequently the value of the QT interval, was sensitive to the amplitude of the T-wave. This result corroborates previous observations by e.g. Vink et al. that a low and flat T-wave affects the measuring precision of the QT interval [26]. A low Tamplitude may therefore serve as another warning signal warranting manual scrutiny of the recording. When the Tamplitude exceeded 200μV there was rarely a problem in this study.

Our ultimate goal for the development of a computerized/automatic VCG analysis is to provide its user with reliable VCG parameters for clinical purposes such as risk prediction regarding cardiac death including sudden cardiac death [211]. A suitable risk marker should have as good reproducibility as possible, including all technical aspects and the individual time-dependent variability. Calculating the coefficient of variation is one alternative for such assessment and independent of units, which we have used in the electrophysiological context before [19]. A coefficient of variation <10% is usually considered very good or excellent. The presented method gave lower coefficients of variation compared to selecting an early part of the recording. Furthermore, the spatial Peak and Mean QRS-T angles are scientifically but not clinically established risk factors for cardiac death and sometimes grouped together [211]. In this study, the Mean QRS-T angle had much better reproducibility than the Peak QRS-T angle (coefficient of variation 14 vs. 45%), which favors the former for risk assessment. A recent study from our group, however, suggests that both angles together rather than one of them alone should be used for risk evaluation, which is one clinical context in which VCG can contribute valuable and accurate information [11, 13]. Another potential application would be in the prediction of the response to cardiac resynchronization therapy for heart failure and the timing of stimulation intervals [27, 28].

The QT interval has a scientifically and clinically established position as risk marker, especially in patients with the long QT syndrome [26]. The VCG based QRST complex allows the measurement of the QT interval unaffected by the T loop axis, which varies individually with regard to any lead on the ECG. It thus meets the requirement for the global QT interval which some scientist advocate and try to obtain by measuring the interval between the first QRS onset and the last Tend in any of the 12 leads of the standard ECG [29]. It has also been shown that the global QT interval calculated from Frank VCG differentiates between LQTS mutation carriers and age- and sex-matched controls better than QT intervals from either automatically or manually assessed standard 12-lead ECG [30]. We showed that the global QT and QTc intervals had an excellent reproducibility at the 3%-level. The tangent method for defining the end of the T-wave, initially introduced as an alternative in special cases [31] gives a slightly shorter QT interval (10-15ms) than using the so called “threshold method” [26]. While some experts recommend both methods e.g. facilitated by a web-based QT calculator [26, 31], the tangent method has been favored by others [32]. The tangent method is more suitable than the threshold method for studying ventricular repolarization changes on a beat-to-beat level during rapid heart rate increase according to our own experience [1618]. We therefore decided on the tangent method for the entirely automatic VCG analysis of saQRST complexes so that the same automatic method could be used for analyses of beat-to-beat and steady-state signal-averaged cardiac cycles.

The participants in this study represent a population based sample 50 to 64 years old at enrolment and up to 65 years at completion of the protocol. The general idea of the SCAPIS study is to obtain various risk markers for cardiovascular and pulmonary disease at an age where interventions supposedly are able to change the outcome in a favorable direction [14]. If new risk markers provide additional prognostic value on top of the already established and can be amended is an ongoing part of SCAPIS but outside the scope of this study. We cannot rule out that our method when applied to a sicker cohort would need manual scrutiny in more recordings than in the present. In 38% of these recordings there were, however, some abnormalities, and when using an instability value >12 and a low Tamplitude (< 200μV) as signals of possible imprecision of the VCG parameters, we anticipate this method to work in any clinical cohort.

For a century it has been known, and part of clinical practice, to take into account the sex related difference in the QT interval [33]. This study illustrates that most VCG-based parameters of cardiac electrophysiology show sex-related differences on the group level which should be taken into account in clinical studies. The Peak QRS-T angle was 48% and the Mean QRS-T angle 30% wider in men than in women and an age- and sex-related difference in these and other VCG parameters has been reported before [6, 8, 34]. Our entire study cohort includes participants with various cardiovascular and other diseases as well as chronic medication with various substances in almost half of them, which potentially might affect the VCG parameters, e.g. diabetes and hypertension [11]. The sex-related differences remained, however, when comparing data from the 151 women and 168 men without any known diseases or chronic medication in our cohort. In a previous Frank VCG based study on LQTS patients and age- and sex-matched controls, which were on average between 30 and 40 years of age, similar sex-related differences were observed [34].

Data from the present and the previous study may serve as a reference for apparently healthy men and women. Compared to a study from 1964, our data in healthy men were similar with regard to the comparable parameters QRSarea, Tarea and Ventricular gradient but the QRS-T angle was narrower in our men [35].

We have developed a method for recording and reliable analysis of Frank VCG which is ready for application in epidemiological studies such as the SCAPIS main study. Further development is, however, needed to achieve computerized on-line analysis with presentation of data and interpretation of their potential clinical implications before bedside use can be realized.

Conclusion

A reliable automatic method to acquire Frank VCG parameters reflecting cardiac electrophysiology for risk stratification and other purposes was developed. The method includes a quality measure which informs the user of signal variability that warrants manual scrutiny. The procedure proved feasible in 98.7% of 1094 participants in a population based cohort. Most VCG parameter values differed significantly between women and men and this difference should be taken into account in future studies.

Supporting information

S1 Appendix. Glossary and definitions.

(DOCX)

S1 Fig. User interface for manual editing of annotation points.

Graphical user interface for manual editing of annotation points, in this example with the green cursor at the QRSoffset, i.e. the J-point. Four leads of the QRST complex are shown, the X-, Y- and Z-leads and an averaged vector magnitude lead in white (Mag for magnitude) providing the “global” QRST complex.

(DOCX)

S2 Fig. Recording duration.

Frequency distribution histogram of the recording duration in full minutes from 1091 participants. The median (Q1-Q3) was 9.2 (8.2–9.7) min. Data show non-Gaussian distribution (Shapiro-Wilk test). This graph shows that in almost all participants sufficiently long recording segments were available for analysis according to the algorithm.

(DOCX)

S3 Fig. Instability values.

Frequency distribution histogram of instability values (no unit) rounded to nearest whole number for 1080 automatically selected 50s-segments (each consisting of 5 10s-saQRST complexes). Median (Q1-Q3) was 4.2 (3.2–5.6). Data show non-Gaussian distribution (Shapiro-Wilk test). Values > 12 suggest that the recording should be manually scrutinized; see text and Table 5 in the main manuscript for more details.

(DOCX)

S4 Fig. Causes of high instability value.

Recordings with high instability values (>8.8) were scrutinized to find its cause and to categorize it as either external to the study subject (noise) or internal and of physiological or pathophysiological origin. Panel a: ECG from a section within the selected segment with disturbances on the Y-lead (originating from the neck electrode); this cause is defined as “external”. Panel b: ECG from a section within the selected segment with varying RR-intervals due to physiological sinus arrhythmia in a study subject with relatively low heart rate; this cause is defined as “internal”.

(DOCX)

S5 Fig. The relation between the instability value and the range for 5 vectorcardiographic parameters.

Panels a-e show graphs of the relation between the ranges, (maximum—minimum values), of vectorcardiographic parameters within the selected 50s-segment and its instability value (no unit); QTpeak interval (panel a), Tpeak-end interval (panel b), Tamplitude (panel c), Tarea (panel d) and Peak QRS-T angle (panel e). These graphs show that in some individuals there were considerable variations in specified parameters despite low instability suggesting absence of external disturbances (“noise”). rs is the Spearman rank order correlation coefficient.

(DOCX)

S1 Table. Vectorcardiographic parameters in apparently healthy women and men.

Vectorcardiographic parameters in the sub-group of 319 apparently healthy participants among the population sample of 1080 with comparisons between women and men (Mann-Whitney test). Median (Q1-Q3) (<1% data missing for each item). Reference values for the age group 50–65 years.

(DOCX)

S1 Dataset. Vectorcardiographic parameters, sex, and age.

(PDF)

Acknowledgments

We are very grateful to all the participants in this study and the staff at the SCAPIS test center in Gothenburg.

Data Availability

The data underlying the findings in our study are not freely and directly available in a public repository because the original approval by the regional ethics board and the informed consent from the subjects participating in the studies do not include such a direct, free access. If a reader wants access to the data underlying the present article for validation purposes, please contact Swedish National Data Service at snd@gu.se, referring to this study. The software used to process the electrocardiographic signals is developed on a platform owned by Ortivus AB, Danderyd, Sweden, by an agreement between the company and one of the authors (L.B.). Any inquiry regarding access to the software should be addressed to Per Karlsson, representing Ortivus, at per.karlsson@ortivus.com, and to the corresponding author.

Funding Statement

This study was supported by the Swedish Heart and Lung Foundation (to LB # 20190652) and by grants from the Swedish state under the agreement between the Swedish government and the county councils, the ALF-agreement to LB (ALFGBG-722431). SCAPIS is supported by the Swedish Heart and Lung Foundation, the Knut and Alice Wallenberg Foundation, the Swedish Research Council and VINNOVA. The SCAPIS pilot study also received funding from the Sahlgrenska Academy at Gothenburg University and strategic grants from ALF/LUA in Western Sweden. The sponsors did not have any role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Decision Letter 0

Elena G Tolkacheva

26 Jun 2020

PONE-D-20-11644

Automatic identification of a stable QRST complex for non-invasive evaluation of human cardiac electrophysiology

PLOS ONE

Dear Dr. Bergfeldt,

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Please address comments indicated by the Reviewers and shorten the length of the manuscript .

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Partly

Reviewer #2: Yes

**********

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: I Don't Know

Reviewer #2: Yes

**********

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: No

Reviewer #2: Yes

**********

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: No

Reviewer #2: Yes

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5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: In this manuscript, the authors describe a method for recording vectorcardiograms (VCG) in a population sample. The conclusion is that with a 5 minute recording period, 99% of subjects can have an adequate tracing produced.

The introduction attempts to cover all the relevant history of the vectorcardiogram. It could be shortened; the first paragraph is duplicative as the prognosis of VCG is repeated in the 2nd paragraph. The first 2 sentences of the 2nd paragraph could be removed. Instead, it might be nice for the reader to get a brief introduction to how/why the VCG is different from the standard ECG.

Methods: please elaborate on what is meant by “randomized fashion”. How were participants recruited? What was randomly assigned? Do the author mean to say that a random sample of people from the population were recruited? If so, how many were they drawn from, how was randomization performed, what were the power calculations to determine sample size, how many people elected to or declined to participate?

The distribution of normal/abnormal findings on VCG sounds similar to my clinical practice, are there other population samples for prevalence of abnormal ECG that can be referenced for comparison?

If the goal of this investigation is to demonstrate the usability of this technique, the discussion should be more focused on that aspect. Would recommend more attention be given to clinical application of this technique. For example, there are 6 pages of methods on the technique, how translatable are those methods to clinical practice? If the median time to acquire a VCG is 9 minutes (longer than the average face to face time for a patient and a physician in most office visits), how practical is it? Is the additional prognostic information worth the time/effort?

Reviewer #2: This study aimed to apply a novel method for standardizing the window of analysis for vectorcardiography in a large sample of patients in an epidemiological study in Sweden. Vectorcardiography is based on analysis of 12-lead ECG or Frank VCG recording leads and employs vector-based analyses (i.e., magnitude and angle) of recorded electrical signals. Though not readily employed clinically, the potential of VCG is convincingly great. This specific study in this space was unique, innovative, and largely technically appropriate. The authors demonstrated success of their algorithm in comparison to a randomly selected and manually annotated vectorcardiogram, success in delineating differences between men and women that they saw in their demographic analysis, consistency in serial visits with the same patient, and success in consistently producing a stable signal-averaged QRS complex and T wave for analysis with standard VCG tools. Additionally, the authors recognized the limitations of their study and drew mostly appropriate conclusions from their results. However, there is a major concern about the motivation and significance of this research. The authors did not fully elucidate the need for such an algorithm nor did they convincingly demonstrate how the application of their algorithm will aid in clinical care. These issues and some technical issues listed below should be considered before acceptance:

Major Comments

• Introduction

1. Greater discussion on the application of VCG in clinical scenarios, uniqueness compared to ECG (i.e., what complementary or supplementary information is given by the VCG), and prognostic value need to be established. These are vaguely described in Lines 87-100, but a clear description of VCG, its parameters, and its merits/disadvantages need to be included, especially given its nonstandard use. A diagram explaining VCG would be helpful, though not necessary as there are various other sources that the authors include for this. Additionally, the problem with manual selection of VCG segments must be delineated. Without these descriptions of VCG, the significance, novelty, and innovation of the authors’ study is lost.

• Methods

1. If it is possible to do, the variability between multiple observers (at least two) in manually edited annotation points is an important parameter to include to help demonstrate the success of your automatic algorithm.

2. What is the importance of the instability value and how do you actually calculate it? You discuss that the variability value is calculated from averaging the difference between the fixed and alignment waveforms, and that values of difference greater than 5 uV are used to calculate the instability value, but the actual calculation of instability is unclear. Additionally, the physiologic importance is not well established other than vaguely in Table 5 where “external disturbances” and “internal variations” are mentioned as contributing factors to instability. The process of manually defining something as “external” or “internal” is suspect without a more complete and rigorous analysis. Please describe how you delineated this.

• Results

1. The significance of a percentage difference in CV in Table 3 is unclear. Though a larger difference in CV would show that there is greater variability in the manual annotation on the fourth saQRST than in your automated algorithm, the significance of a 11.7% vs. 14.7 % difference is unclear. An interpretation or a separate statistic that indicates significant differences would be helpful. Additionally, it is assumed that there will be some inter-beat variability regardless of whether the automated or manual technique is used. Is part of the CV difference due to this inter-beat variability?

2. As discussed in Methods Comment 2, the reasoning behind classifying an instability value as due to external disturbances or internal sources of variability is essential. Is there a way to demonstrate what each of these would look like in a representative trace? Or are there criteria that your VCG reader used to define this?

• Discussion

1. One of the major questions that remains despite the success of your algorithm/study is the applicability of this technique. First, as you note in the paper, the typical ECG/VCG protocol does not include 5-10 minutes of recording so using this algorithm seems to potentially be impractical/infeasible. Second, because you chose not to look at how specifically the algorithm did in those with underlying heart disease (especially arrhythmias), the importance and utility of the algorithm is unclear. This is especially true as the VCG is expected to help diagnose transient arrhythmias like AF. As such, the success of the algorithm to identify a stable region of the VCG in these conditions is important, and I am not convinced that the author’s algorithm is capable of accomplishing this.

Minor Comments

• Abstract

1. QRST complex is not a standard complex according to typical ECG where there is a QRS complex and a T wave. Consider defining this complex in the abstract so the reader understands.

• Methods

1. Why was the second visit non-standardized? Would this have an effect on secondary results?

2. Where on the neck and back are electrodes placed? It would be helpful to include anatomical landmarks nearby like the vertebrae, vasculature, etc.

3. What is a signal-averaged QRST complex? Some specifics on this calculation would be helpful as it is hard to understand how 70 seconds could represent 7 10s-saQRST complexes and the order of operations that produces a signal averaged complex is unclear. Additionally, is this averaging the same or different than the process you describe for selecting the representative complex?

4. Can you explain why a sliding absolute difference between a portion of the QRS complex was used rather than a cross-correlation for the alignment steps?

5. Was there a reason that 5 uV was selected as the threshold to add to the instability value?

6. A quick question regarding the annotation. It is clear that the algorithm in this paper is focused on selection of a standard window for analysis of VCG parameters. However, the automatic/manual annotation of these parameters is not clear. Can you describe briefly how these parameters are selected and how sensitive the process is to noise? Perhaps using Supplemental Figure 1.

• Results

1. Table 1 is an excellent representation of demographics and shows clear differences in biological sex and various parameters in the study. Additionally, Table 2 excellently portrays the difference in various VCG parameters between men and women. A tertiary analysis of other demographics and VCG parameters seems warranted (especially since the data is available).

2. What were the values of the Shapiro Wilk test for normality and how did you decide to accept the null hypothesis (i.e., what value of the Shapiro Wilk test was used for this)? Qualitatively, there appears to be a relatively normal spread so more clarity would be appreciated.

3. Is there a statistic to effectively compare the CV, mean, or s.d. of the two different annotations in Table 4? If so, this information would be useful to the reader to understand the significance of this automated annotation.

**********

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Reviewer #1: No

Reviewer #2: No

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PLoS One. 2020 Sep 17;15(9):e0239074. doi: 10.1371/journal.pone.0239074.r002

Author response to Decision Letter 0


23 Jul 2020

RESPONSES TO REVIEWERS’ COMMENTS

PONE-D-20-11644

Automatic identification of a stable QRST complex for non-invasive evaluation of human cardiac electrophysiology

PLOS ONE

We very much appreciate the interest in our study and the reviewers’ suggestions to improve the manuscript. The numbers of the lines referred to in the responses are those in the manuscript with changes in track mode.

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Partly

Reviewer #2: Yes

________________________________________

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: I Don't Know

Reviewer #2: Yes

________________________________________

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: No

Reviewer #2: Yes

________________________________________

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: No

Reviewer #2: Yes

________________________________________

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: In this manuscript, the authors describe a method for recording vectorcardiograms (VCG) in a population sample. The conclusion is that with a 5 minute recording period, 99% of subjects can have an adequate tracing produced.

RESPONSE It appears that the present conclusion in the abstract is somewhat misleading and it has therefore been rephrased, lines 52-56. Actually, the main message is rather that we created an automatic process to identify a representative QRST complex, as stated in the title, based on the most stable 10s-segment from the 5 min recording. All QRST complexes in this segment (10 at a heart rate of 60 bpm etc.) were then averaged to improve the signal-to-noise ratio, a common procedure in signal analysis. From this signal-averaged QRST complex we measured automatically 28 VCG parameters. This procedure could, however, also be used for 12-lead electrocardiograms etc.

The introduction attempts to cover all the relevant history of the vectorcardiogram. It could be shortened; the first paragraph is duplicative as the prognosis of VCG is repeated in the 2nd paragraph. The first 2 sentences of the 2nd paragraph could be removed. Instead, it might be nice for the reader to get a brief introduction to how/why the VCG is different from the standard ECG.

RESPONSE The point is taken. The second paragraph of the Introduction has consequently been reconstructed and information on VCG vs. ECG differences is incorporated. There are also some changes in the third/final paragraph of the Introduction.

Methods: please elaborate on what is meant by “randomized fashion”. How were participants recruited? What was randomly assigned? Do the author mean to say that a random sample of people from the population were recruited? If so, how many were they drawn from, how was randomization performed, what were the power calculations to determine sample size, how many people elected to or declined to participate?

RESPONSE Yes, a random sample from the population was recruited. This process has now been elaborated upon in the text, lines129-132, and a reference (#15) which specifically deals with this process has been added.

The distribution of normal/abnormal findings on VCG sounds similar to my clinical practice, are there other population samples for prevalence of abnormal ECG that can be referenced for comparison?

RESPONSE We have searched for such a study but not found any with similar age- and sex-distribution. Turned the other way around, we present novel data also in this aspect from a population sample in an age-group where cardiovascular risks could potentially be reduced and longevity improved.

If the goal of this investigation is to demonstrate the usability of this technique, the discussion should be more focused on that aspect. Would recommend more attention be given to clinical application of this technique. For example, there are 6 pages of methods on the technique, how translatable are those methods to clinical practice? If the median time to acquire a VCG is 9 minutes (longer than the average face to face time for a patient and a physician in most office visits), how practical is it? Is the additional prognostic information worth the time/effort?

RESPONSE The point is well taken, although the goal was to develop an automatic method to make VCG more usable, not to prove its clinical usability. First, all recordings in this study were performed by staff nurses and there is no need for the presence of a physician. Second, the spatial QRS-T angles are the electrocardiographic parameters with the scientifically strongest documentation of a prognostic value regarding cardiovascular events including all cardiac deaths and specifically sudden cardiac death (ref. #2-11); and the gold standard for their assessment is Frank VCG (ref. # 4). Third, the strongest clinical potential for VCG is presently therefore for risk prediction regarding cardiac death and sudden cardiac death and the identification of candidates for implantable cardioverter defibrillators (ICD) to prevent such events. And the present study is a step in the direction of its clinical application, but we are not yet there. We are therefore a bit hesitant to put too much stress to the potential clinical application but have expanded the text dealing with this issue on lines 516-533.

Reviewer #2: This study aimed to apply a novel method for standardizing the window of analysis for vectorcardiography in a large sample of patients in an epidemiological study in Sweden. Vectorcardiography is based on analysis of 12-lead ECG or Frank VCG recording leads and employs vector-based analyses (i.e., magnitude and angle) of recorded electrical signals. Though not readily employed clinically, the potential of VCG is convincingly great. This specific study in this space was unique, innovative, and largely technically appropriate. The authors demonstrated success of their algorithm in comparison to a randomly selected and manually annotated vectorcardiogram, success in delineating differences between men and women that they saw in their demographic analysis, consistency in serial visits with the same patient, and success in consistently producing a stable signal-averaged QRS complex and T wave for analysis with standard VCG tools. Additionally, the authors recognized the limitations of their study and drew mostly appropriate conclusions from their results.

RESPONSE Thank you. Exactly as you state, the potential of VCG is convincingly great. In order to spread this insight and facilitate the application of VCG, work along several lines is needed. One is spreading the knowledge about what VCG can offer (as expanded upon in the Introduction). Another is the development of methods, which in a standardized and reliable way provide data for different purposes, which is the purpose of this manuscript. Yet another is to present data in a way that can be smoothly integrated in clinical decision making, and we are not yet there. So, this is one step in a direction that seems to be appreciated by the reviewer.

However, there is a major concern about the motivation and significance of this research. The authors did not fully elucidate the need for such an algorithm nor did they convincingly demonstrate how the application of their algorithm will aid in clinical care. These issues and some technical issues listed below should be considered before acceptance:

RESPONSE In order to clarify the rationale behind this study the second and third paragraphs of the Introduction have been rewritten. Basically, the scientific evidence for the prognostic value of the spatial QRS-T angles is overwhelming, but their clinical application is not established for various reasons of which some are mentioned in the Introduction, neither are any other VCG derived parameters. The rationale for this study is to take one step towards that direction. It should, however, be noted that the development of an automatic method for obtaining VCG derived parameters is only one – although necessary - step in that direction and more is required. As mentioned above there is also need to spread the knowledge about the possibilities with and knowledge about VCG. We have e.g. recently published an article explaining the differences between the two spatial QRS-T angles and between the mean QRS-T angle and the ventricular gradient which both are based on the QRS-area and T-area vectors with the general aim to reduce confusion about some of the central VCG based concepts and measures (ref. #11). It would, however, be presumptuous of us to claim more than that our present study is one central step to provide VCG based measures to use in the future e.g. in the difficult work of reducing the burden of unexpected sudden cardiac death but also in the selection and management of patients with heart failure that are candidates for resynchronization therapy; lines 516-533.

Major Comments

• Introduction

1. Greater discussion on the application of VCG in clinical scenarios, uniqueness compared to ECG (i.e., what complementary or supplementary information is given by the VCG), and prognostic value need to be established. These are vaguely described in Lines 87-100, but a clear description of VCG, its parameters, and its merits/disadvantages need to be included, especially given its nonstandard use.

RESPONSE The second and third parts of the Introduction has partly been rewritten in response to this comment; please also see the previous response.

A diagram explaining VCG would be helpful, though not necessary as there are various other sources that the authors include for this.

RESPONSE Thanks. We agree that technical details are extremely important and also that there are sources available for detailed descriptions. We therefore prefer to add a recent reference on this topic which includes graphical presentation of electrode positions, P-, QRS- and T-vector loops and calculations from the QRST complexes in the X, Y, Z-leads (ref. #11). And the Academic Editor has actually recommended shortening the text.

Additionally, the problem with manual selection of VCG segments must be delineated. Without these descriptions of VCG, the significance, novelty, and innovation of the authors’ study is lost.

RESPONSE We are uncertain how to understand this comment. The selection of the most stable segments of the VCG recordings was not manual but automatic. The fixed time-point of the 4th segment for comparison was chosen early in the VCG recording (within 1 min of its start) to test if the extended recording time after the standardized supine rest together with the developed algorithm added to the robustness and reproducibility. The analysis of these segments was thus fully automatic. We have added information on lines 255-260 to clarify this procedure and also in relation to the data presented in Table 3.

• Methods

1. If it is possible to do, the variability between multiple observers (at least two) in manually edited annotation points is an important parameter to include to help demonstrate the success of your automatic algorithm.

RESPONSE The point is taken. For defining the QRST complex, QRSonset and Tend are the critical annotation points of which Tend is well-known to show significant inter-observer variability at manual assessment (Ahnve S: Errors in the Visual Determination of Corrected QT (QTc) Interval…, J Am Coll Cardiol 1985;5:699-702). We have actually performed a meticulous comparison between manual and automatic annotation of T end on VCG recordings before (ref. #17). The text below is part of the Supplemental information provided with that article. In that study the manual annotations from another very experienced electrophysiologist was compared with automatic annotations and the agreement was very good. Table 4 shows that the agreement between the coefficients of variation was very good between the automatic and manual annotation points, as expected from ref. #17. We hope that the reviewer finds this response satisfactory although it is not a comparison between different observers. The results of Dr. Ahnve’s study, which has been confirmed since then, was the reason why only one experienced investigator was used in this study to avoid inter-observer variability in this particular comparison with automatic annotation points as one part of the evaluation of the automatic method. In a recent study by Vink et al. in Circulation 2018;138:2345-2358 (ref. # 26), the authors decided to have one electrophysiologist make the annotation points for the same reason.

From ref. # 17; Supplement:

“Comparison of manual vs. automatic annotations The computer-set detection points defined according to the algorithms described above were evaluated by comparison with manually set detection points from our database. All annotation points used in this validation process were manually corrected by one person and Tend defined by manually applying the tangent method. In the first comparison 1771 signal-averaged QRST complexes from 1-min samples from 25 healthy subjects studied at supine rest were used. Manual and automatic annotation points for QRS onset and Tend were compared. For QRS onset the mean difference was - 0.16 ms, i.e. the automatic algorithm placed the annotation point for QRS onset slightly earlier than the manual. In 5 QRST complexes (0.3%) the difference was ≥10 ms, and 4 of these deviations were observed in one subject with an indistinct QRS onset. Supplement Fig. 3 shows the comparison for Tend. In 1750 out of 1771 (99%) QRST complexes the Tend-difference was within ±6 ms.

We also compared single (non-averaged) QRST complexes using data from a previous publication on beat-to-beat VR variability in 41 LQTS patients (31 LQT1 and 10 LQT2) in comparison with 41 age- and sex-matched healthy control subjects [3]. Manual and automatic measurements were compared in 5005 single QRST complexes recorded at supine rest. The QT interval could not be defined automatically in 18 out of 1848 available complexes (1.0%) from LQT1 patients and in 18 out of 652 (2.8%) complexes from LQT2 patients. Supplement Table 1 shows a comparison of the QT interval and the Tamplitude as well as short-term-variability (STV) of the QT interval based on measuring QRST complexes during one-minute baseline conditions. While the agreement was excellent in healthy subjects, the differences increased with longer QT intervals and lower Tamplitude. On the other hand, the automatic algorithm differentiated between healthy subjects and LQTS patients more clearly than the manually set QT values.

We conclude that in general the agreement between manual and automatic definition of annotation points and the resulting intervals was excellent.”

2. What is the importance of the instability value and how do you actually calculate it? You discuss that the variability value is calculated from averaging the difference between the fixed and alignment waveforms, and that values of difference greater than 5 uV are used to calculate the instability value, but the actual calculation of instability is unclear. Additionally, the physiologic importance is not well established other than vaguely in Table 5 where “external disturbances” and “internal variations” are mentioned as contributing factors to instability. The process of manually defining something as “external” or “internal” is suspect without a more complete and rigorous analysis. Please describe how you delineated this.

RESPONSE The importance of the instability value is to provide a quantitative measure of the variability of the QRST complexes (cardiac cycles from the electrical perspective) and signal to the responsible investigator that the level of variability warrants manual scrutiny of the selected recording segment and representative 10s-saQRST complex to find out the reason; lines 199-205, 275-278, 389-401, and 476-500. This will always be part of the procedure just as over reading of an ECG with automatic interpretation is necessary before making clinical decisions especially when any pathology is claimed by the ECG system. With our system a warning is issued in the presence of a high instability value.

Figure 1 illustrates in the upper panel how one QRST complex (blue) is kept fixed while the one that should be compared (red) is superimposed/slided over the fixed complex. The difference in morphology is then showed in the middle panels, and the calculation of the difference in the lower panel with the signal enlarged.

The flowchart in Fig 2 has been updated to clarify the calculation of the instability value.

The reason for choosing ≥5μV was related to the resolution (2.5 μV) of the sample size as now explained on lines 201-203. Examples of external (to the study subject) and internal (of physiological or pathophysiological origin within the particular study subject) are now shown in S4 Fig, panels a & b. Please also see the responses below to “Minor comments # Methods 4 & 5.

• Results

1. The significance of a percentage difference in CV in Table 3 is unclear. Though a larger difference in CV would show that there is greater variability in the manual annotation on the fourth saQRST than in your automated algorithm, the significance of a 11.7% vs. 14.7 % difference is unclear. An interpretation or a separate statistic that indicates significant differences would be helpful. Additionally, it is assumed that there will be some inter-beat variability regardless of whether the automated or manual technique is used. Is part of the CV difference due to this inter-beat variability?

RESPONSE Unfortunately, we have not been clear enough and there is a misunderstanding, which has partly been dealt with above in response to the comments starting with “Additionally, the problem with manual selection of VCG segments must be delineated.”

Table 3 thus shows a comparison of the coefficients of variation of two fully automatically analyzed 10s-saQRST complexes, the best from the entire recording (algorithm selected) versus the 4th or early, which was arbitrarily chosen. So, the main conclusion to be drawn from this comparison is that the reproducibility improves for a majority of parameters by applying the algorithm on the repeated recordings. A non-parametric test (Wilcoxon for matched pairs) showed, however, that the overall difference was not statistically significant (p=0.14). This has been added to the text; lines 372-373. Finally, we agree that part of the CV difference is probably due to the inter-beat variability, which, however, might be completely physiological as discussed elsewhere.

2. As discussed in Methods Comment 2, the reasoning behind classifying an instability value as due to external disturbances or internal sources of variability is essential. Is there a way to demonstrate what each of these would look like in a representative trace? Or are there criteria that your VCG reader used to define this?

RESPONSE The point is well taken and examples are now provided as S4 Fig panels a & b.

• Discussion

1. One of the major questions that remains despite the success of your algorithm/study is the applicability of this technique. First, as you note in the paper, the typical ECG/VCG protocol does not include 5-10 minutes of recording so using this algorithm seems to potentially be impractical/infeasible.

Second, because you chose not to look at how specifically the algorithm did in those with underlying heart disease (especially arrhythmias), the importance and utility of the algorithm is unclear. This is especially true as the VCG is expected to help diagnose transient arrhythmias like AF. As such, the success of the algorithm to identify a stable region of the VCG in these conditions is important, and I am not convinced that the author’s algorithm is capable of accomplishing this.

RESPONSE As stated in the Introduction (lines106-109) the purpose of this study was not to evaluate the performance of VCG in different clinical conditions, other researchers have done that. On lines 337-342 we, however, discuss that both atrial fibrillation and competing sinus and junctional rhythms affected the instability value because the atrial activity was superimposed, and thereby potentially affected the parameter values. A high instability value may thus be caused by the presence of atrial fibrillation as also brought forward on lines 485-489 in the Discussion. We, however, disagree on the point of using VCG for detecting paroxysmal atrial fibrillation, which is the clinical problem and which we assume the reviewer is alluding to. VCG has not been proven better or worse than any other recording method using at least 3 leads for the similar amount of recording time. There are now event recorders available (including applications in smartphones) that are much better for recording transient arrhythmias such as paroxysmal atrial fibrillation as part of scheduled screening recordings e.g. twice a day with the instruction also to record when palpitations occur. We, however, agree this is a clinically important issue.

Finally, all recordings in this study were performed by staff nurses and there is no need for the presence of a physician. As stated in the Discussion, the time limiting step is the time required to allow for rate adaptation and stabilization of ventricular repolarization. Thus, when any physician wants to get a reliable assessment of any repolarization related parameters e.g. the QT interval a 3-5 min supine and quiet rest is necessary also before recording of the routine ECG, even if that requirement is not too often paid attention to.

Minor Comments

• Abstract

1. QRST complex is not a standard complex according to typical ECG where there is a QRS complex and a T wave. Consider defining this complex in the abstract so the reader understands.

RESPONSE A QRST complex is the full cardiac electrical cycle from the noninvasive perspective and has now in the abstract been defined as QRSonset to Tend to make the meaning clear. The duration of the QRST complex is equivalent to the QT interval but that is only one of the 28 parameters that we derived from the VCG recording.

• Methods

1. Why was the second visit non-standardized? Would this have an effect on secondary results?

RESPONSE The point is taken. All participants had agreed to answer extended questionnaires and to go through several tests at a very tight schedule running over two days (ref. #14). Duplicated tests were optional but chosen to be as convenient as possible to those who volunteered to do that (as stated on lines 138-139). Because we used the coefficients of variation for comparisons between methods for VCG analysis of the same recording the secondary results should not be affected.

2. Where on the neck and back are electrodes placed? It would be helpful to include anatomical landmarks nearby like the vertebrae, vasculature, etc.

RESPONSE A description using anatomical land marks is actually presented on lines 148-150.

3. What is a signal-averaged QRST complex? Some specifics on this calculation would be helpful as it is hard to understand how 70 seconds could represent 7 10s-saQRST complexes and the order of operations that produces a signal averaged complex is unclear. Additionally, is this averaging the same or different than the process you describe for selecting the representative complex?

RESPONSE A signal averaging process is a standard procedure used to improve the signal-to-noise ratio. Instead of using QRST from a single cardiac cycle or the average of the measures from several cardiac cycles where signal noise might affect the measuring process, we calculated an averaged QRST complex from all cardiac cycles within a 10s segment (as is the standard for routine 12-lead ECG). The number of cycles (Beat count in the tables 3 & 4) vary depending on the heart rate but was on average between 60 and 70 bpm in this cohort. For each minute the number of any 10s-saQRST complex would ideally be 6, unless there were disqualifying arrhythmias. The representative 10s-saQRST complex was thus within a group of 7 similar 10s-saQRST complexes. Then we narrowed in on 50s-segments to work with and this segment contained 5 10s-saQRST complexes from which the most representative was chosen. The reviewer’s assumption last in the comment is correct.

There is a technique called SAECG (signal averaged ECG) employing the same method but used mainly for detecting late potentials in the QRS complex e.g. in the diagnostic work up for arrhythmogenic cardiomyopathy (previously arrhythmogenic right ventricular dysplasia or cardiomyopathy; ARVC).

4. Can you explain why a sliding absolute difference between a portion of the QRS complex was used rather than a cross-correlation for the alignment steps?

RESPONSE The sliding absolute difference gives the same weight over the entire part of the cardiac cycle where it is used, here from QRSonset to Tend. This is now explained in the text on lines 195-198. In contrast, cross-correlation gives more weight to differences at high signal levels.

5. Was there a reason that 5 uV was selected as the threshold to add to the instability value?

RESPONSE The reason for choosing ≥5μV was related to the resolution (2.5 μV) of the sample value as now explained on lines187-189 and 198-206.

6. A quick question regarding the annotation. It is clear that the algorithm in this paper is focused on selection of a standard window for analysis of VCG parameters. However, the automatic/manual annotation of these parameters is not clear. Can you describe briefly how these parameters are selected and how sensitive the process is to noise? Perhaps using Supplemental Figure 1.

RESPONSE The point is well taken. The legend to S1Fig now describes how the annotation points were defined automatically. It also includes a description of how the manual scrutiny was performed.

• Results

1. Table 1 is an excellent representation of demographics and shows clear differences in biological sex and various parameters in the study. Additionally, Table 2 excellently portrays the difference in various VCG parameters between men and women. A tertiary analysis of other demographics and VCG parameters seems warranted (especially since the data is available).

RESPONSE We very much appreciate the reviewer’s interest also for how VCG reflects non-invasive electrophysiology and which determinants are important for different VCG derived parameters. We take this as reflecting that the reviewer has accepted our methodology as stated in the very first comment. We agree that both physiological and pathophysiological determinants are relevant and interesting in this context. An expanded analysis of that kind would, however, both require an entirely separate and rather complicated statistical analysis to account for co-variates, and potentially also divert any reader’s attention from the aim and focus of this manuscript, how to proceed to acquire reliable data from a VCG recording. In a recent publication we have e.g. pointed to important determinants for abnormal QRS-T angles apart from sex, i.e. the presence of diabetes, hypertension, and the absence of any known disease and regular pharmacotherapy (ref. #11). – A complete response to this very interesting comment can only be provided with a review article

2. What were the values of the Shapiro Wilk test for normality and how did you decide to accept the null hypothesis (i.e., what value of the Shapiro Wilk test was used for this)? Qualitatively, there appears to be a relatively normal spread so more clarity would be appreciated.

RESPONSE The p-value for the Shapiro-Wilk’s test was <0.05, which has now been added on line 296.

3. Is there a statistic to effectively compare the CV, mean, or s.d. of the two different annotations in Table 4? If so, this information would be useful to the reader to understand the significance of this automated annotation.

RESPONSE We have now applied a robust sign test (Wilcoxon test for matched pairs) to test the differences in coefficients of variation in Tables 3 and 4 and included this in the Statistical Methods (lines 302-303). The result has been included in the appropriate places, lines 372-373 and 380. With this method, there were no significant differences in the comparisons although the p-values differed, 0.14 in Table 3 and 1.0 in Table 4.

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Decision Letter 1

Elena G Tolkacheva

31 Aug 2020

Automatic identification of a stable QRST complex for non-invasive evaluation of human cardiac electrophysiology

PONE-D-20-11644R1

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Acceptance letter

Elena G Tolkacheva

4 Sep 2020

PONE-D-20-11644R1

Automatic identification of a stable QRST complex for non-invasive evaluation of human cardiac electrophysiology

Dear Dr. Bergfeldt:

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Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Appendix. Glossary and definitions.

    (DOCX)

    S1 Fig. User interface for manual editing of annotation points.

    Graphical user interface for manual editing of annotation points, in this example with the green cursor at the QRSoffset, i.e. the J-point. Four leads of the QRST complex are shown, the X-, Y- and Z-leads and an averaged vector magnitude lead in white (Mag for magnitude) providing the “global” QRST complex.

    (DOCX)

    S2 Fig. Recording duration.

    Frequency distribution histogram of the recording duration in full minutes from 1091 participants. The median (Q1-Q3) was 9.2 (8.2–9.7) min. Data show non-Gaussian distribution (Shapiro-Wilk test). This graph shows that in almost all participants sufficiently long recording segments were available for analysis according to the algorithm.

    (DOCX)

    S3 Fig. Instability values.

    Frequency distribution histogram of instability values (no unit) rounded to nearest whole number for 1080 automatically selected 50s-segments (each consisting of 5 10s-saQRST complexes). Median (Q1-Q3) was 4.2 (3.2–5.6). Data show non-Gaussian distribution (Shapiro-Wilk test). Values > 12 suggest that the recording should be manually scrutinized; see text and Table 5 in the main manuscript for more details.

    (DOCX)

    S4 Fig. Causes of high instability value.

    Recordings with high instability values (>8.8) were scrutinized to find its cause and to categorize it as either external to the study subject (noise) or internal and of physiological or pathophysiological origin. Panel a: ECG from a section within the selected segment with disturbances on the Y-lead (originating from the neck electrode); this cause is defined as “external”. Panel b: ECG from a section within the selected segment with varying RR-intervals due to physiological sinus arrhythmia in a study subject with relatively low heart rate; this cause is defined as “internal”.

    (DOCX)

    S5 Fig. The relation between the instability value and the range for 5 vectorcardiographic parameters.

    Panels a-e show graphs of the relation between the ranges, (maximum—minimum values), of vectorcardiographic parameters within the selected 50s-segment and its instability value (no unit); QTpeak interval (panel a), Tpeak-end interval (panel b), Tamplitude (panel c), Tarea (panel d) and Peak QRS-T angle (panel e). These graphs show that in some individuals there were considerable variations in specified parameters despite low instability suggesting absence of external disturbances (“noise”). rs is the Spearman rank order correlation coefficient.

    (DOCX)

    S1 Table. Vectorcardiographic parameters in apparently healthy women and men.

    Vectorcardiographic parameters in the sub-group of 319 apparently healthy participants among the population sample of 1080 with comparisons between women and men (Mann-Whitney test). Median (Q1-Q3) (<1% data missing for each item). Reference values for the age group 50–65 years.

    (DOCX)

    S1 Dataset. Vectorcardiographic parameters, sex, and age.

    (PDF)

    Attachment

    Submitted filename: RESPONSES TO REVIEWERS COMMENTS R1 Lundahl et al..docx

    Data Availability Statement

    The data underlying the findings in our study are not freely and directly available in a public repository because the original approval by the regional ethics board and the informed consent from the subjects participating in the studies do not include such a direct, free access. If a reader wants access to the data underlying the present article for validation purposes, please contact Swedish National Data Service at snd@gu.se, referring to this study. The software used to process the electrocardiographic signals is developed on a platform owned by Ortivus AB, Danderyd, Sweden, by an agreement between the company and one of the authors (L.B.). Any inquiry regarding access to the software should be addressed to Per Karlsson, representing Ortivus, at per.karlsson@ortivus.com, and to the corresponding author.


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