Free Access
Issue
ESAIM: M2AN
Volume 37, Number 4, July-August 2003
Special issue on Biological and Biomedical Applications
Page(s) 649 - 661
DOI https://doi.org/10.1051/m2an:2003051
Published online 15 November 2003
  1. D. Barkley, Euclidean symmetry and the dynamics of spiral waves. Phys. Rev. Lett. 72 (1994) 165-167.
  2. P. Brown and Y. Saad, Hybrid Krylov methods for nonlinear systems of equations. Technical Report UCRL-97645, Lawrence Livermore National Laboratory (November 1987).
  3. M. Golubitsky, V.G. LeBlanc and I. Melbourne, Meandering of the spiral tip: An alternative approach. J. Nonlinear Sci. 7 (1997) 557-586. [CrossRef] [MathSciNet]
  4. J. Gomatam and F. Amdjadi, Reaction-diffusion equations on a sphere: Mendering of spiral waves. Phys. Rev. E 56 (1997) 3913-3919. [CrossRef] [MathSciNet]
  5. D.M. Harrild and C.S. Henriquez, A finite volume model of cardiac propagation. Ann. Biomed. Eng. 25 (1997) 315-334. [CrossRef] [PubMed]
  6. J.P. Keener and K. Bogar, A numerical method for the solution of the bidomain equations in cardiac tissue. Chaos 8 (1998) 234-241. [CrossRef] [PubMed]
  7. J.P. Keener and A.V. Panfilov, The effect of geometry and fibre orientation on propagation and extracellular potentials in myocardium, in Computational Biology of the Heart, A.V. Panfilov and A.V. Holden Eds., John Wiley & Sons (1997) 235-258.
  8. J. Keener and J. Sneyd, Mathematical Physiology, Springer-Verlag (1998).
  9. V.G. LeBlanc, Rotational symmetry-breaking for spiral waves. Nonlinearity 15 (2002) 1179-1203. [CrossRef] [MathSciNet]
  10. V.G. LeBlanc and B.J. Roth, Meandering of spiral waves in anisotropic tissue. Dynam. Contin. Discrete Impuls. Systems B 10 (2003) 29-41.
  11. M. Murillo and X.C. Cai, Parallel Newton-Krylov-Schwarz method for solving the anisotropic bidomain equations from the excitation of the heart model. Lecture Notes in Comput. Sci. 2329 (2002) 533-542. [CrossRef]
  12. N.F. Otani, Computer modeling in cardiac electrophysiology. J. Comput. Phys. 161 (2000) 21-34. [CrossRef]
  13. A.V. Panfilov and A.V. Holden, editors, Computational Biology of the Heart. John Wiley & Sons (1997).
  14. J. Rogers, M. Courtemanche and A. McCulloch, Finite element methods for modelling impulse propagation in the heart, in Computational Biology of the Heart, A.V. Panfilov and A.V. Holden Eds., John Wiley & Sons (1997) 217-233.
  15. B.J. Roth, Approximate analytical solutions to the bidomain equations with unequal anisotropy ratio. Phys. Rev. E 55 (1997) 1819-1826. [CrossRef]
  16. B.J. Roth, Mendering of spiral waves in anisotropic cardiac tissue. Phys. D 150 (2001) 127-136. [CrossRef]
  17. V.S. Zykov and S.C. Müller, Spiral waves on circular and spherical domains of excitable medium. Phys. D 97 (1996) 322-332. [CrossRef]

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