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A linear system of partial differential equations modeling the resting potential of a heart with regional ischemia
Authors:MacLachlan Mary C  Sundnes Joakim  Skavhaug Ola  Lysaker Marius  Nielsen Bjørn Fredrik  Tveito Aslak
Affiliation:Simula Research Laboratory, P.O. Box 134, 1325 Lysaker, Norway. mary@simula.no
Abstract:Ischemic ST-segment shift has been modeled using scalar stationary approximations of the bidomain model. Here, we propose an alternative simplification of the bidomain equations: a linear system modeling the resting potential, to be used in determining ischemic TP shift. Results of 2D and 3D simulations show that the linear system model is much more accurate than the scalar model. This improved accuracy is important if the model is to be used for solving the inverse problem of determining the size and location of an ischemic region. Furthermore, the model can provide insight into how the resting potential depends on the variations in the extracellular potassium concentration that characterize ischemic regions.
Keywords:Myocardial ischemia   Resting phase   TP shift   Linear system model
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