REPOLARIZATION CHANGES DISPLAYED IN SURFACE ARI MAPS.
  A SIMULATION STUDY
M. Tysler, M.Turzova, J.Svehlikova
Institute of Measurement 
  Science, Slovak Academy of Sciences
Abstract: 
  Body surface distribution of activation-recovery 
  intervals (ARI) and its ability to reflect local variations of the repolarization 
  process in different myocardium segments was analyzed. Body surface potentials were simulated for 
  normal activation - repolarization and in cases with local shortening and/or 
  decrease of the action potential (AP) of myocardial cells. Isotropic model of 
  analytically shaped ventricles and cellular automata were used to simulate the 
  spread of activation. AP was changed in defined regions in the anterior and 
  posterior left ventricle (LV) that represented 3 to 12% of the ventricular volume. 
  Corresponding body surface integral maps and ARI maps were analyzed. While shortening 
  of AP in the anterior LV was clearly projected on the left antero-lateral superior 
  torso, AP changes in the posterior LV projected mainly in the middle part of 
  the posterior torso were influenced also by other 
  processes in the myocardium and hardly to distinguish. Obtained results indicate 
  that ARI maps may reflect local changes of repolarization in both subendocardial 
  and transmural myocardial regions and could help to identify such regions namely 
  if they are close to the anterior chest surface.
INTRODUCTION
Vulnerability to ventricular arrhythmias 
  is connected with inhomogeneity of myocardium repolarization caused by local 
  changes of action potential duration and amplitude. 
  Under simplified conditions, ARI measured as interval between 
  the most negative derivative within the QRS complex and the most positive derivative 
  near the T-peak of an electrographic signal can be considered as some projection 
  of AP duration in the underlying myocardium. Similarly, ARI estimated from many 
  surface ECG signals, though strongly influenced by the torso volume conductor, 
  could be used as some indicator of local repolarization properties. Tank experiments 
  showed that despite the smoothing effect of torso, there might be a high correlation 
  between epicardially recorded AP duration and superficially measured ARI. Preliminary 
  study of surface ARI maps from real measurements [1] confirmed their reproducibility 
  that was much better than that of QT intervals. The aim of this study was to 
  test the ability of surface ARI maps to reflect AP changes in the heart and 
  their localization.
METHOD
Finite element 
  model of heart ventricles [2] with analytically defined geometry and element 
  size of 1mm3 was used to represent myocardium depolarization and repolarization. Conduction 
  velocity and AP shape were defined for each element. Several layers of elements 
  with up to five different AP durations decreasing from endocardium to epicardium 
  were used to build up the ventricular walls and the septum. AP were approximated 
  by step upstroke, constant plateau and 90 ms linear down-slope. AP duration 
  measured in the middle of the down-slope was 126 to 162 ms in the RV and 138 
  to 177 ms in the LV and in the septum. A layer with 3 times increased conduction 
  velocity on the endocardial surface simulated Purkinje fibers. Starting points 
  of activation were in agreement with experimentally observed early-activated 
  regions in a normal human heart. Activation spread was governed by a cellular 
  automata supposing isotropic myocardial tissue. 168 segmental dipoles were used 
  to represent the cardiac electric generator. Potentials on the surface of a 
  realistic torso model with basic inhomogeneities representing lungs and heart 
  cavities were computed using the boundary element method. ECG signals from 84 
  points of a 12x7 mapping grid were used to obtain potential and integral maps 
  as well as surface isochronal ARI maps. Normal heart repolarization and repolarizations 
  with AP locally shortened by 25% and/or decreased by 30% from the normal values 
  were simulated. Regions of changed AP were defined in two positions in LV as 
  shown in Fig.1: anteriorly near the apex and postero-laterally close to the 
  heart base. In both positions, lesions of three different sizes were created 
  and represented 3-12% of the myocardial volume. Small and medium lesions were 
  subendocardial while the biggest one was always transmural.
 
 a)                                                                                
  b)
Fig. 1: Regions with 
  changed AP in the left ventricle: 
a) anterior region (3%,  6% and  10% of the volume) 
b) posterior region (4%, 8% and 12% of the volume)
RESULTS
The overall patterns 
  of simulated normal body surface potential maps as well as the patterns of ARI 
  maps were in good agreement with those measured in real subjects [1]. Example 
  of simulated normal ARI map and ARI map corresponding to shortened AP duration 
  in the anterior region are shown in Fig.2. Based on the definition, ARI were 
  evaluated only for ECG signals with positive T wave while ARI in areas with 
  negative T waves (upper right anterior and posterior torso) were not considered 
  and are not displayed.
TABLE I
Comparison of normal and changed ARI and integral maps for changed repolarization
 in anterior and posterior heart regions
    
 

Figure 2. Example of simulated ARI maps. Left part 
  of each maps represents anterior torso, right part the back.
ARI durations in milliseconds are represented by 
  gray levels. ARI map for normal AP (upper) and for shortened AP in transmural 
  anterior region 10% of volume (lower map).
Changes of AP 
  simulated in anterior regions were projected mainly to the left antero-lateral 
  superior torso (in the middle of the map, near to the transversal level) but 
  partially also to the left inferior posterior torso. AP changes in posterior 
  LV regions close to the heart base were projected mainly in the middle part 
  of the posterior torso and partially also to the left lateral superior torso.
While merely decrease 
  of AP was difficult to recognize in the ARI maps, shortening of AP was clearly 
  visible and changes in the map were proportional to the size of the lesion. 
  Combined shortening and decrease of AP strengthened the changes in ARI maps. 
  Findings in QRST integral maps were partially in contrast with results in ARI 
  maps. AP decrease was reflected stronger than AP shortening and in most cases, 
  subendocardial lesions of the same size as transmural lesions produced greater 
  departures from normal QRST integral maps. Evaluation of changes in ARI maps 
  and QRST integral maps for medium and large lesions is in Table I a), b).
DISCUSSION 
As it is difficult unambiguously interpret ARI for ECG tracings 
  with negative T wave, ARIs were not evaluated in this area (right superior part 
  of the torso). In a transition area between negative and positive T values, 
  T waves are small and often multi-phasic. In such region even small changes 
  of AP caused that the maximum of T wave derivative "jumped" to other 
  part of the T wave and possibly different processes in the myocardium were mixed 
  in the computed ARI.
Limitation of the study is the use of isotropic myocardium 
  model. As reported elsewhere, this can cause inaccuracy of the simulated potentials 
  namely if the regions with changed AP were not transmural. Another limitation 
  arises from the simulated linear AP down-slope that can influence estimation 
  of the "recovery time instant".
Although the resolution of surface mapping is in principle 
  limited by the smoothing effect of torso, results of our simulations suggest 
  that AP shortening alone as well as in combination with AP decrease can be recognized 
  in surface ARI maps, particularly in regions underlying the anterior chest. 
  AP changes in posterior LV were also clearly visible in the middle of the inferior 
  posterior torso but the computed long ARI values mostly did not reflect “true” 
  AP changes but were influenced by projections from other parts of the myocardium, 
  probably including the left septum. 
Acknowledgments: This work was supported by grant 
  2/1135/21 from the VEGA grant agency.
REFERENCES
[1] M. Tyšler, M. Turzová, S. Filipová "Spatial 
  distribution of QT-intervals in body surface potential maps from limited leads," 
  in: Electrocardiology 2000, 2001, pp.149-154.
[2] V. Szathmáry, I. Ruttkay-Nedecký: 
  "Model study of effects of different repolarization patterns in the left 
  and right ventricle on the resultant cardiac vectors" in: Electrocardiology 
  2000, 2001, pp. 97-102.