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. [Google Scholar]
  2. P. Brown and Y. Saad, Hybrid Krylov methods for nonlinear systems of equations. Technical Report UCRL-97645, Lawrence Livermore National Laboratory (November 1987). [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  5. D.M. Harrild and C.S. Henriquez, A finite volume model of cardiac propagation. Ann. Biomed. Eng. 25 (1997) 315-334. [CrossRef] [PubMed] [Google Scholar]
  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] [Google Scholar]
  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. [Google Scholar]
  8. J. Keener and J. Sneyd, Mathematical Physiology, Springer-Verlag (1998). [Google Scholar]
  9. V.G. LeBlanc, Rotational symmetry-breaking for spiral waves. Nonlinearity 15 (2002) 1179-1203. [CrossRef] [MathSciNet] [Google Scholar]
  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. [Google Scholar]
  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] [Google Scholar]
  12. N.F. Otani, Computer modeling in cardiac electrophysiology. J. Comput. Phys. 161 (2000) 21-34. [CrossRef] [Google Scholar]
  13. A.V. Panfilov and A.V. Holden, editors, Computational Biology of the Heart. John Wiley & Sons (1997). [Google Scholar]
  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. [Google Scholar]
  15. B.J. Roth, Approximate analytical solutions to the bidomain equations with unequal anisotropy ratio. Phys. Rev. E 55 (1997) 1819-1826. [CrossRef] [Google Scholar]
  16. B.J. Roth, Mendering of spiral waves in anisotropic cardiac tissue. Phys. D 150 (2001) 127-136. [CrossRef] [Google Scholar]
  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] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you