Abstract
A reduced-order method based on Approximated Lax Pairs (ALP) is applied to the integration of electrophysiology models. These are often high-dimensional parametric equation systems, challenging from a model reduction standpoint. The method is tested on two and three dimensional test-cases, of increasing complexity. The solutions are compared to the ones obtained by a finite element. The reduced-order simulation of pseudo-electrocardiograms based on ALP is proposed in the last part.
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Gerbeau, JF., Lombardi, D. & Schenone, E. Reduced order model in cardiac electrophysiology with approximated Lax pairs. Adv Comput Math 41, 1103–1130 (2015). https://doi.org/10.1007/s10444-014-9393-9
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DOI: https://doi.org/10.1007/s10444-014-9393-9