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Simulation of Anisotropic Propagation in the Myocardium with a Hybrid Bidomain Model

  • Kim Simelius
  • Jukka Nenonen
  • B. Milan Horáček
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2230)

Abstract

We describe simulations of propagated electrical excitation in threedimensional anisotropic myocardial muscle. According to the bidomain theory, anisotropic electrical conductivities are presented as tensors in the intracellular and interstitial domains (D i and D e, respectively). Under the assumption of equal anisotropy ratio (D i = kD e), subthreshold behaviour of the excitable elements is governed by a parabolic reaction-diffusion equation for the membrane potential, solvable even on a desktop computer. In the case of more general anisotropies (D ikD e), also the interstitial potential needs to be solved simultaneously from an elliptic partial differential equation, requiring a supercomputer for large arrays of excitable elements. In both cases, the elements obey cellular automata rules in the suprathreshold state.We present preliminary results of the propagated excitation for different anisotropy ratios in a three-dimensional slab geometry.

Keywords

Cellular Automaton Anisotropy Ratio Conductivity Tensor General Anisotropy Bidomain Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Kim Simelius
    • 1
  • Jukka Nenonen
    • 1
  • B. Milan Horáček
    • 2
  1. 1.Laboratory of Biomedical EngineeringHelsinki University of TechnologyFinland
  2. 2.Department of Physiology and BiophysicsDalhousie UniversityHalifaxCanada

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