Adaptive multiresolution simulation of waves in electrocardiology

Raimund Bürger; Ricardo Ruiz Baier

doi:10.1007/978-3-642-11795-4_20

Adaptive multiresolution simulation of waves in electrocardiology

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

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.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications 2009
Subtitle of host publication	Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009
Editors	G Kreiss, P Lötstedt, A Målqvist, M Neytcheva
Place of Publication	Heidelberg Germany
Publisher	Springer
Pages	199-207
Number of pages	9
Volume	2
ISBN (Electronic)	9783642117954
ISBN (Print)	9783642117947
DOIs	https://doi.org/10.1007/978-3-642-11795-4_20
Publication status	Published - 2010
Externally published	Yes

Access to Document

10.1007/978-3-642-11795-4_20

292883137-oaFinal published version, 327 KB

Cite this

Bürger, R., & Ruiz Baier, R. (2010). Adaptive multiresolution simulation of waves in electrocardiology. In G. Kreiss, P. Lötstedt, A. Målqvist, & M. Neytcheva (Eds.), Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009 (Vol. 2, pp. 199-207). Springer. https://doi.org/10.1007/978-3-642-11795-4_20

Bürger, Raimund ; Ruiz Baier, Ricardo. / Adaptive multiresolution simulation of waves in electrocardiology. Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009. editor / G Kreiss ; P Lötstedt ; A Målqvist ; M Neytcheva. Vol. 2 Heidelberg Germany : Springer, 2010. pp. 199-207

@inproceedings{b7c24d8d36ce4d5d8e60421b3d87c612,

title = "Adaptive multiresolution simulation of waves in electrocardiology",

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.",

author = "Raimund B{\"u}rger and {Ruiz Baier}, Ricardo",

year = "2010",

doi = "10.1007/978-3-642-11795-4_20",

language = "English",

isbn = "9783642117947",

volume = "2",

pages = "199--207",

editor = "G Kreiss and P L{\"o}tstedt and A M{\aa}lqvist and M Neytcheva",

booktitle = "Numerical Mathematics and Advanced Applications 2009",

publisher = "Springer",

}

Bürger, R & Ruiz Baier, R 2010, Adaptive multiresolution simulation of waves in electrocardiology. in G Kreiss, P Lötstedt, A Målqvist & M Neytcheva (eds), Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009. vol. 2, Springer, Heidelberg Germany, pp. 199-207. https://doi.org/10.1007/978-3-642-11795-4_20

Adaptive multiresolution simulation of waves in electrocardiology. / Bürger, Raimund; Ruiz Baier, Ricardo.
Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009. ed. / G Kreiss; P Lötstedt; A Målqvist; M Neytcheva. Vol. 2 Heidelberg Germany: Springer, 2010. p. 199-207.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

TY - GEN

T1 - Adaptive multiresolution simulation of waves in electrocardiology

AU - Bürger, Raimund

AU - Ruiz Baier, Ricardo

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

U2 - 10.1007/978-3-642-11795-4_20

DO - 10.1007/978-3-642-11795-4_20

M3 - Conference Paper

SN - 9783642117947

VL - 2

SP - 199

EP - 207

BT - Numerical Mathematics and Advanced Applications 2009

A2 - Kreiss, G

A2 - Lötstedt, P

A2 - Målqvist, A

A2 - Neytcheva, M

PB - Springer

CY - Heidelberg Germany

ER -

Bürger R, Ruiz Baier R. Adaptive multiresolution simulation of waves in electrocardiology. In Kreiss G, Lötstedt P, Målqvist A, Neytcheva M, editors, Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009. Vol. 2. Heidelberg Germany: Springer. 2010. p. 199-207 doi: 10.1007/978-3-642-11795-4_20