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Adaptive multiresolution simulation of waves in electrocardiology. (English) Zbl 1311.94016
Kreiss, Gunilla (ed.) et al., Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Berlin: Springer (ISBN 978-3-642-11794-7/hbk; 978-3-642-11795-4/ebook). 199-207 (2010).
Summary: A new fully adaptive multiresolution method is applied for the simulation of the complex dynamics of waves in excitable media in electrocardiology, where the membrane kinetics are given by the Aliev-Panfilov or Luo-Rudy II models. Numerical experiments show that the automatical adaptation strategy tracks the spatio-temporal pattern accurately at a substantially reduced computational cost if compared with fine-grid simulations. The nonlinear dynamics of complex multiscale patterns can thus be computed efficiently, also in the chaotic and turbulent regime which are currently beyond the frontiers of methods using regular discretizations.
For the entire collection see [Zbl 1201.65003].

MSC:
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
92C50 Medical applications (general)
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