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Original Articles

Oscillatory Spherical Traveling-Wave–Type Solutions to the Cardiac BVP

Pages 751-772 | Published online: 16 Jun 2010

REFERENCES

  • D. Barkley ( 1991 ). A model for fast computer simulation of waves in excitable media . Physica D 49 ( 1–2 ): 61 – 70 .
  • V.N. Biktashev ( 2002 ). Dissipation of the excitation wave fronts . Phys. Rev. Lett. 89 : 168102 .
  • A.V. Panfilov , R.H. Kelderman , and M.P. Nash ( 2007 ). Drift and breakup of spiral waves in reaction-diffusion-mechanics . Proc. Natl. Acad. Sci. U.S.A. 14 ( 19 ): 7922 – 7926 .
  • H. Sabbagh ( 2002 ). Observation of spiral core expansion in an excitable medium . Phys. Lett. A 299 : 207 – 211 .
  • L. Glass and M.C. Mackey ( 1988 ). From Clocks to Chaos: The Rhythms of Life . Princeton University Press , Prinecton , NJ .
  • N.H.S. Haidar ( 1989 ). Approximate double series solution to certain Fredholm integral equations of the first kind . J. Math. Anal. Appl. 143 ( 1 ): 264 – 289 .
  • A.T. Winfree ( 1973 ). Scroll-shaped waves of chemical activity in three dimensions . Science 181 : 937 – 939 .
  • A.V. Panfilov and A.T. Winfree ( 1985 ). Dynamical simulations of twisted scroll rings in 3-dimensional excitable media . Physica D 17 : 323 – 330 .
  • W. Jahnke , C. Henze , and A.T. Winfree (1988). Chemical vortex dynamics in 3-dimensional excitable media. Nature 366:662–665.
  • B. Fiedler and R.M. Mantel ( 2000 ). Crossover collisions of scrollwave filaments . Documenta Math. 5 : 695 – 731 .
  • B. Fiedler , B. Sandstede , A. Scheel , and C. Wulff ( 1996 ). Bifurcation from relative equilibria of noncompact group actions: skew products, meanders, and drifts . Documenta Math. 1 : 479 – 505 .

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