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We compare and contrast spiral- and scroll-wave dynamics in five differentmathematical models for cardiac tissue. The first is the TP06 model, due to tenTusscher and Panfilov, which is based on the Hodgkin-Huxley formalism; theremaining four are Markov-state models, MM1 WT and MM2 WT, for the wild-type(WT) Na channel, and MM1 MUT and MM2 MUT, for the mutant Na channel. Ourresults are based on extensive direct numerical simulations of waves ofelectrical activation in these models, in two- and three-dimensional (2D and3D) homogeneous simulation domains and also in domains with localisedheterogeneities, either obstacles with randomly distributed inexcitable regionsor mutant cells in a wild-type background. Our study brings out the sensitivedependence of spiral- and scroll-wave dynamics on these five models and theparameters that define them. We also explore the control of spiral-waveturbulence in these models.

physical review research

Comparisons of wave dynamics in Hodgkin-Huxley and Markov-state  formalisms for the Sodium (Na) channel in some mathematical models for human  cardiac tissue