Parameters were selected as follows: if a parameter proved to be significant in distinguishing between the two groups (Table 1) and it also proved to contribute to this distinction when combined with other parameters (Table 2, showing the ranking obtained for all possible model configurations), it was selected to be one of the parameters of the optimal sub-set. The respective receiver operating characteristic (ROC) curves for each parameter are depicted in Figure 2 (top: the six selected parameters; bottom: the eight neglected parameters). Of the top five performing measures in Table 2, four (namely, C, k0.95, NMSE3, and MSE) were also significant measures individually (Table 1). This suggests that they are good candidates for inclusion in an optimal sub-set of AF substrate complexity measures. fWPM was not significant when considered individually, but ranked first when analysing all possible model configurations. This may mean that it likely carries independent information which helps discriminating a few subjects among the two groups. This measure can be seen as an alternative to fibrillatory wave amplitude, known to be associated with the degree of AF organization and outcome in patients undergoing catheter ablation for AF.16 For these reasons, it was included in the optimal sub-set. fWP was ranked sixth, and it was excluded due to its high correlation with fWPM (Spearman correlation coefficient r = 0.68, P < 0.01). SAE was also selected, because it measures whether recurrent patterns are present in the data, hence focusing on different characteristics of the data than the parameters that were already selected. MOI and RHE were excluded due to both of their low individual significance (0.04 < P < 0.05) and their low ranking. All remaining parameters were excluded. The optimal sub-set attained a perfect classification when used as input to a multivariable regression model.
Table 1

Classification results for all individual AF complexity measures from a logistic regression model, evaluated at the LA

AF complexity measureCorrect classification rate (%)Percentage of concordance (%)Acute AF (ST) predictive value (%)Chronic AF (LT) predictive value (%)P-value
k0.95*88.295.790.085.70.0372
NMSE3*88.295.790.085.70.0223
C*94.195.7100.085.70.0431
CV64.757.190.028.60.433
SC52.958.680.014.30.5703
SV58.851.4100.00.00.8826
MOI*76.580.080.071.40.0408
MSE*82.490.080.085.70.0335
DAF64.777.180.042.90.0971
SAE*76.588.680.071.40.0312
fWP76.572.990.057.10.1101
SAEM64.778.680.042.90.0755
fWPM88.294.390.085.70.0505
RHE*76.585.78071.40.0464
AF complexity measureCorrect classification rate (%)Percentage of concordance (%)Acute AF (ST) predictive value (%)Chronic AF (LT) predictive value (%)P-value
k0.95*88.295.790.085.70.0372
NMSE3*88.295.790.085.70.0223
C*94.195.7100.085.70.0431
CV64.757.190.028.60.433
SC52.958.680.014.30.5703
SV58.851.4100.00.00.8826
MOI*76.580.080.071.40.0408
MSE*82.490.080.085.70.0335
DAF64.777.180.042.90.0971
SAE*76.588.680.071.40.0312
fWP76.572.990.057.10.1101
SAEM64.778.680.042.90.0755
fWPM88.294.390.085.70.0505
RHE*76.585.78071.40.0464

Significant discriminants of the ST AF and LT AF groups are indicated with *(P < 0.05).

AF, atrial fibrillation.

Table 1

Classification results for all individual AF complexity measures from a logistic regression model, evaluated at the LA

AF complexity measureCorrect classification rate (%)Percentage of concordance (%)Acute AF (ST) predictive value (%)Chronic AF (LT) predictive value (%)P-value
k0.95*88.295.790.085.70.0372
NMSE3*88.295.790.085.70.0223
C*94.195.7100.085.70.0431
CV64.757.190.028.60.433
SC52.958.680.014.30.5703
SV58.851.4100.00.00.8826
MOI*76.580.080.071.40.0408
MSE*82.490.080.085.70.0335
DAF64.777.180.042.90.0971
SAE*76.588.680.071.40.0312
fWP76.572.990.057.10.1101
SAEM64.778.680.042.90.0755
fWPM88.294.390.085.70.0505
RHE*76.585.78071.40.0464
AF complexity measureCorrect classification rate (%)Percentage of concordance (%)Acute AF (ST) predictive value (%)Chronic AF (LT) predictive value (%)P-value
k0.95*88.295.790.085.70.0372
NMSE3*88.295.790.085.70.0223
C*94.195.7100.085.70.0431
CV64.757.190.028.60.433
SC52.958.680.014.30.5703
SV58.851.4100.00.00.8826
MOI*76.580.080.071.40.0408
MSE*82.490.080.085.70.0335
DAF64.777.180.042.90.0971
SAE*76.588.680.071.40.0312
fWP76.572.990.057.10.1101
SAEM64.778.680.042.90.0755
fWPM88.294.390.085.70.0505
RHE*76.585.78071.40.0464

Significant discriminants of the ST AF and LT AF groups are indicated with *(P < 0.05).

AF, atrial fibrillation.

Table 2

Ranking of best performing feature obtained by iterating all possible model configurations obtained from the 14 non-invasive parameters

Ranking (1 = highest, 14 = lowest)AF complexity measureAverage percentage of concordance (%)
1fWPM99.97
2C99.95
3k0.9599.95
4NMSE399.89
5MSE99.84
6fWP99.84
7SAE99.82
8MOI99.76
9SV99.74
10CV99.71
11SC99.70
12SAEM99.70
13RHE99.70
14DAF99.70
Ranking (1 = highest, 14 = lowest)AF complexity measureAverage percentage of concordance (%)
1fWPM99.97
2C99.95
3k0.9599.95
4NMSE399.89
5MSE99.84
6fWP99.84
7SAE99.82
8MOI99.76
9SV99.74
10CV99.71
11SC99.70
12SAEM99.70
13RHE99.70
14DAF99.70

The average percentage of concordance was obtained by averaging the percentage of concordance values from all individual models that contained each feature.

Table 2

Ranking of best performing feature obtained by iterating all possible model configurations obtained from the 14 non-invasive parameters

Ranking (1 = highest, 14 = lowest)AF complexity measureAverage percentage of concordance (%)
1fWPM99.97
2C99.95
3k0.9599.95
4NMSE399.89
5MSE99.84
6fWP99.84
7SAE99.82
8MOI99.76
9SV99.74
10CV99.71
11SC99.70
12SAEM99.70
13RHE99.70
14DAF99.70
Ranking (1 = highest, 14 = lowest)AF complexity measureAverage percentage of concordance (%)
1fWPM99.97
2C99.95
3k0.9599.95
4NMSE399.89
5MSE99.84
6fWP99.84
7SAE99.82
8MOI99.76
9SV99.74
10CV99.71
11SC99.70
12SAEM99.70
13RHE99.70
14DAF99.70

The average percentage of concordance was obtained by averaging the percentage of concordance values from all individual models that contained each feature.

Receiver operating characteristic curves for the different non-invasive measures of AF substrate complexity used in this study. (A) ROC curves of the selected parameters; (B) ROC curves of the neglected parameters. Dotted line indicates the line of identity.
Figure 2

Receiver operating characteristic curves for the different non-invasive measures of AF substrate complexity used in this study. (A) ROC curves of the selected parameters; (B) ROC curves of the neglected parameters. Dotted line indicates the line of identity.

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