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Filamentinduced surface spiral turbulence

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Abstract: Spiral wave patterns in two-dimensional excitable and oscillatory ... states, where pairs of defects with opposite topological charge annihilate in ... – PowerPoint PPT presentation

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Title: Filamentinduced surface spiral turbulence


1
IBI SEMINAR SERIES
Filament-induced surface spiral turbulence Dr.
Joern Davidsen Assistant Professor Complexity
Science GroupDepartment of Physics and
Astronomy University of Calgary Tuesday
February 19, 2008 1200 Noon Biological Sciences
211 University of Calgary Host Professor Stuart
Kauffman
Abstract Spiral wave patterns in two-dimensional
excitable and oscillatory media are organized
around phase defects where the local phase of the
oscillation is not defined. Turbulent states,
where pairs of defects with opposite topological
charge annihilate in collisions and new pairs of
defects are continuously created, can exist in
such systems. This defect-mediated turbulence is
believed to be important in cardiac fibrillation
though the exact mechanism is a matter of
controversy. In this talk, I will discuss surface
defect-mediated turbulence in bounded
three-dimensional (3D) excitable media in the
regime of negative line tension. In this regime
turbulence arises due to unstable filaments
associated with scroll waves and is purely a 3D
phenomenon. In this talk, I will show that the
statistical properties of the turbulent defect
dynamics can be used to distinguish surface
defect-mediated turbulence from its 2D analog.
Mechanisms for the creation and annihilation of
surface defects will be discussed and
generalizations of Markov rate equations are
employed to model the results.
Pizza and pop will be provided
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