Picture Gallery of 3D Scroll Waves


A tomographic study of desynchronization and complex dynamics of scroll
waves in an excitable chemical reaction with a gradient 

Ulrich Storba , Camilo Rodrigues Netob , Markus Bärb and Stefan C. Müllera

a Institute for Experimental Physics, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany

b Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany


Phys. Chem. Chem. Phys 2003, 5, 2344 - 2353

Fig 3:
Initial scroll wave
Initial scroll wave, 45 min after ignition.
Left: Perspective representation of an isoconcentration level of the full three-dimensional reconstruction.
Center: Projection through the reaction cuvette. The filament is shown as red line.
Right: Reconstructed horizontal slices of the reaction medium. The planes are 3.5 mm, 11.5 mm, 19.5 mm and 28.5 mm from the top, respectively. The filament is shown as red line.
 
Fig 6:
perspective representation of an isoconcentration level
Time series of perspective representations of isoconcentration levels of the full three-dimensional reconstruction.
Times are (left to right) 110 min = 18 revolutions, 176 min = 29 revolutions, and 256 min = 34 revolutions after ignition of the scroll wave.
 
Fig 7:
slected slices
Time series of horizontal slices through
the reaction cuvette.
Locations of the slices are the same as in Fig. 3, times are the same as in Fig. 6. The filament is shown as red line.
 
Fig 10:
simulation results
Typical scrolls for surfaces of u=0.6 for the linear gradient (top line) and for the step gradients (bottom line) at time t=225, after 3000 time steps. There is scroll breakup only for high enough step gradients. The values of bmin and bmax are given in Tab. II. Model Parameters: a=0.8, 1/ε=50, L=40 and D=0.6. Numerical Parameters: Nx=81, Ny=81, Nz=121, ts=0.8 and δ=0.001.