Linear and non-linear analysis of atrial signals and local activation period series during atrial-fibrillation episodes

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Abstract
Linear and non-linear indexes for the characterisation of the dynamics in atrial signals (AS) and local atrial period (LAP) series are assessed in different atrial fibrillation (AF) episodes as defined by Wells. Parameters include the linear index obtained from the cross-correlation function (CCF) between ASs and the non-linear synchronisation (S) index based on the mutual corrected conditional entropy (MCCE). Regularity (R) was computed on single-lead AS. In addition, the level of predictability (LP) and the regularity of LAP series were computed. It was found that the level of synchronisation between ASs decreased passing from type-I to type-II AF when using linear (CCF: 0.90±0.10 against 0.44±0.18; p<0.001) and non-linear (S: 0.22±0.10 against 0.05±0.03; p<0.001) indexes. The regularity index (in normal sinus rhythm (NSR): 0.30±0.08; in AF-I: 0.19±0.10; in AF-II: 0.09±0.02; NSR against AF-I p<0.001; AF-I against AF-II p<0.001) and level of predictability (in NSR: 65±18; in AF-I: 27±13; in AF-II 7±6; NSR against AF-I p<0.001; AF-I against AF-II p<0.001) significantly decreased in the LAP series passing from NSR to AF-II. The proposed parameters succeeded in discriminating the different dynamics which characterised AS and LAP series during different kinds of AF episodes.