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Research Article
ScienceAsia 28 (2002) :043-048 |doi: 10.2306/scienceasia1513-1874.2002.28.043
Control of Spatiotemporal
Disorder in an Excitable Medium
Matthias Wolteringa and Mario Markusa,*
ABSTRACT: We consider partial differential equations that describe excitable media (phase variables: activator u and inhibitor v) and their disordered solutions consisting of erratically moving wave pieces. A pulse of a control parameter that displaces the u-nullcline parallely to the v-axis can split a wave into two waves moving in opposite directions. A properly applied train of such pulses completely destroys disorder. There exists a pulsing period for which the total time for disorder destruction is minimum. We discuss the application of this method to control heart fibrillation.
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a Max-Planck-Institut fur molekulare Physiologie, Postfach 500247,
44202 Dortmund, Germany.
* Corresponding author, E-mail: mario.markus@mpi-dortmund.mpg.de
Received 25 May 2001, Accepted 21 Aug 2001
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