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Effects of reduced discrete coupling on filament tension in excitable media
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10.1063/1.3551500
/content/aip/journal/chaos/21/1/10.1063/1.3551500
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/1/10.1063/1.3551500
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Sketch of the discretization of Eqs. ((1)) and ((3)) for the different approaches here considered. Circles represent the nodes of the grid and lines represent the connectivity between nodes. The thickness of the lines is proportional to the value of the conductivity (ζ). Two cases are considered: the change of the value of the conductivity ζ (a) and the fraction ρ of normal connectivities (b).

Image of FIG. 2.
FIG. 2.

(Color online) Negative filament tension instability due to reduced intercellular coupling. Evolution of the excitation waves (a–c) and filament (d–f) of a initially straight scroll wave for ζ = 1.875. For the whole article we keep constant a = 1.1, ε = 0.02 and b = 0.15 and Δt = 0.015. Size of the system: 100 × 100 × 100.

Image of FIG. 3.
FIG. 3.

(Color online) Dependence of the filament tension (a) and vertical drift (b) of scroll rings on ζ. Solid lines correspond to nonlinear fits. Evolution of the averaged three-dimensional radius (c) and vertical drift (d) for two values of ζ. Size of the system: 100 × 100 × 200.

Image of FIG. 4.
FIG. 4.

(Color online) Dependence of the characteristic period (a) and wavelength (b) of spiral waves on the parameter ζ. Dashed lines show the expected continuous limits and solid lines are nonlinear fits. Arrow indicates the value employed for 3D simulations in Fig. 2. Three snapshots corresponding to the spiral waves with ζ = 1 (c), ζ = 1.8 (d), and ζ = 9.3 (e). Size of the system: 256 × 256.

Image of FIG. 5.
FIG. 5.

(Color online) Negative filament tension instability due to heterogeneous intercellular coupling. Evolution of the excitation waves (a–c) and filament (d–f) of a initially straight scroll wave for ρ = 0.25. Size of the system: 100 × 100 × 100.

Image of FIG. 6.
FIG. 6.

(Color online) Dependence of the characteristic period (a) and length (b) of spiral waves on the fraction of normal connectivities ρ in a heterogeneous system. Points are average over ten realizations. Dashed and solid lines correspond, respectively, to the predictions with an effective conductivity ζe for continuous and discrete limits. Arrow indicates the value employed for 3D simulations in Fig. 5. Three snapshots corresponding to spiral waves with different values ρ = 0.1 (c), ρ = 0.5 (d), and ρ = 0.9 (e). Size of the system: 256 × 256.

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/content/aip/journal/chaos/21/1/10.1063/1.3551500
2011-03-29
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effects of reduced discrete coupling on filament tension in excitable media
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/1/10.1063/1.3551500
10.1063/1.3551500
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