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Sci. Comput."],"published-print":{"date-parts":[[2026,4,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We propose a novel partitioned scheme based on Eikonal equations to model the coupled propagation of the electrical signal in the His\u2013Purkinje system and in the myocardium for cardiac electrophysiology. This scheme allows, for the first time in Eikonal-based modeling, to capture all possible signal reentries between the Purkinje network and the cardiac muscle that may occur under pathological conditions. As part of the proposed scheme, we introduce a new pseudo-time method for the Eikonal-diffusion problem in the myocardium, to correctly enforce electrical stimuli coming from the Purkinje network. 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