Lj. Leon et al., SIMULATION OF 2-DIMENSIONAL ANISOTROPIC CARDIAC REENTRY - EFFECTS OF THE WAVELENGTH ON THE REENTRY CHARACTERISTICS, Annals of biomedical engineering, 22(6), 1994, pp. 592-609
A two-dimensional sheet model was used to study the dynamics of reentr
y around a zone of functional block. The sheet is a set of parallel, c
ontinuous, and uniform cables, transversely interconnected by a brick-
wall arrangement of fixed resisters. In accord with experimental obser
vations on cardiac tissue, longitudinal propagation is continuous, whe
reas transverse propagation exhibits discontinuous features. The width
and length of the sheet are 1.5 and 5 cm, respectively, and the aniso
tropy ratio is fixed at approximately 4:1. The membrane model is a mod
ified Beeler-Reuter formulation incorporating faster sodium current dy
namics. We fixed the basic wavelength and action potential duration of
the propagating impulse by dividing the time constants of the seconda
ry inward current by an integer K. Reentry was initiated by a standard
cross-shock protocol, and the rotating activity appeared as curling p
atterns around the point of junction (the q-point) of the activation (
A) and recovery (R) fronts. The curling R front always precedes the A
front and is separated from it by the excitable gap. In addition, the
R front is occasionally shifted abruptly through a merging with a slow
-moving triggered secondary recovery front that is dissociated from th
e A front and q-point. Sustained irregular reentry associated with sub
stantial excitable gap variations was simulated with short wavelengths
(K = 8 and K = 4). Unsustained reentry was obtained with a longer wav
elength (K = 2), leading to a breakup of the q-point locus and the tri
ggering of new activation fronts.