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Volumn 70, Issue 5 2, 2004, Pages

Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; ELECTRIC EXCITATION; MAPS; MATHEMATICAL MODELS; OSCILLATIONS; PARAMETER ESTIMATION; TOPOLOGY;

EID: 41349109087     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.056203     Document Type: Article
Times cited : (38)

References (34)
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    • 0003475470 scopus 로고
    • Springer-Verlag, New York, and references herein
    • J. D. Murray, Mathematical Biology (Springer-Verlag, New York, 1989), and references herein.
    • (1989) Mathematical Biology
    • Murray, J.D.1
  • 7
    • 11844290972 scopus 로고    scopus 로고
    • note
    • Some aspects of cardiac arrhythmias may arise from scroll wave filament instabilities which depend on the 3D nature of cardiac tissue [8, 9].
  • 8
    • 0003659232 scopus 로고
    • Princeton University Press, Princeton, NJ
    • A. T. Winfree, When Time Breaks Down (Princeton University Press, Princeton, NJ, 1987).
    • (1987) When Time Breaks Down
    • Winfree, A.T.1
  • 10
    • 0017699724 scopus 로고
    • L. Glass, Science 198, 321 (1977).
    • (1977) Science , vol.198 , pp. 321
    • Glass, L.1
  • 12
    • 0041152920 scopus 로고
    • edited by R. B. King and D. Rouvray Elsevier, Amsterdam
    • D. Sumners, in Graph Theory and Topology in Chemistry, edited by R. B. King and D. Rouvray (Elsevier, Amsterdam, 1987), p. 3.
    • (1987) Graph Theory and Topology in Chemistry , pp. 3
    • Sumners, D.1
  • 13
    • 11844266826 scopus 로고    scopus 로고
    • Ph.D. thesis, Florida State University
    • I. Cruz-White, Ph.D. thesis, Florida State University, 2003.
    • (2003)
    • Cruz-White, I.1
  • 17
    • 11844293721 scopus 로고    scopus 로고
    • note
    • We solve Eq. (4) numerically using an algorithm that automatically adjusts the time step to achieve an effcient simulation while controlling the error in the solution [31].
  • 19
    • 11844271134 scopus 로고    scopus 로고
    • note
    • It is computationally convenient to carry out the calculations in a thin spherical shell constructed from a cubic rectangular grid. The shell thickness is small compared to characteristic wavelengths and diffusion lengths so that the small shell thickness does not influence the spiral wave dynamics.
  • 20
    • 11844277913 scopus 로고    scopus 로고
    • note
    • The initial conditions are as in Ref. 32 with spherical coordinates Δθ = π/2 and Δ=π.
  • 22
    • 11844305279 scopus 로고    scopus 로고
    • note
    • 3 with mean 0.95 and standard deviation 0.013, the diameter of the spiral core meander is roughly 10 space units.
  • 26
    • 0037471168 scopus 로고    scopus 로고
    • Y. Gong and D. J. Christini, Phys. Rev. Lett. 90, 088302 (2003); L. Brusch, E. Nicola, and M. Bär, ibid. 92, 089801 (2004).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 088302
    • Gong, Y.1    Christini, D.J.2
  • 31
    • 4243387358 scopus 로고
    • A. S. Mikhailov, V. A. Davydov, and V. S. Zykov, Physica D 70, 1 (1994); V. A. Davydov, V. S. Zykov, A. S. Mikhailov, and P. K. Brazhnik, Radiophys. Quantum Electron. 31, 574 (1988).
    • (1994) Physica D , vol.70 , pp. 1
    • Mikhailov, A.S.1    Davydov, V.A.2    Zykov, V.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.