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Adaptive Multiresolution Simulation of Waves in Electrocardiology

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Raimund Bürger

    (Universidad de Concepción, CI2MA and Departamento de Ingeniería Matemática)

  • Ricardo Ruiz-Baier

    (École Polytechnique Fédérale de Lausanne EPFL, Modeling and Scientific Computing IACS-CMCS)

Abstract

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.

Suggested Citation

  • Raimund Bürger & Ricardo Ruiz-Baier, 2010. "Adaptive Multiresolution Simulation of Waves in Electrocardiology," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 199-207, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_20
    DOI: 10.1007/978-3-642-11795-4_20
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