positive filament tension; while the same positive filament tension re-entry initiated at the same location of the foetal heart with the realistic fiber anisotropy self-terminates within seconds. Generally, time of re-entry self-termination depends on the re-entry initial position, while the role of the heart anisotropy is to speed up the re-entry self-termination.

\[Intro\]Introduction
=====================

Since the hypothesis over a century ago that cardiac re-entry underlies cardiac arrhythmias [@Mines-1913; @Garey-1914] , and the much later confirmation of the hypothesis in cardiac tissue experiment [@Allessie-etal-1973; @Pertsov-etal-1993], the re-entry (*aka* spiral wave in 2D, cardiac excitation vortex in 3D), its origin and its role in sustained arrhythmias and fibrillation, as well as a possibility of its effective control and defibrillation, have been an object of extensive theoretical study and modelling [@Wiener-Rosenblueth-1946; @Balakhovsky-1965; @Krinsky-1968; @Panfilov-etal-1984; @Davydov-etal-1988; @Keener-1988; @Ermakova-etal-1989; @Biktashev-Holden-1994; @awt; @Fenton-Karma-1998; @Pertsov-etal-PRL2000; @Wellner-etal-PNAS2002; @swd; @orbit; @Biktashev-etal-2011-PONE; @Biktasheva-etal-2015-PRL]. From experiment, it is an established point of view that cardiac arrhythmias are due to a complex combination of electrophysiological [@BoschNattel-CardiovascularResearch2002; @Workman-etal-HeartRythm2008; @Kushiyama-etal-2016], structural [@Pellman-etal-2010; @Eckstein-etal-2011; @Takemoto-etal-2012; @Eckstein-etal-2013], and anatomical [@MacEdo-etal-2010; @Anselmino-etal-2011] factors which sustain cardiac re-entry [@GrayPertsovJalife-1996-Circ; @Wu-etal-1998-CR; @Nattel-Nature2002; @Yamazaki-etal-2012-CVR].

The specific effect of the heart anisotropy and anatomy on cardiac re-entry dynamics is well appreciated 