Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model

Kim Simelius; Jukka Nenonen; B. Milan Horáček

doi:10.1007/3-540-45572-8_20

Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model

Kim Simelius, Jukka Nenonen, B. Milan Horáček

Medicine

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

9 Citations (Scopus)

Abstract

We describe simulations of propagated electrical excitation in threedimensional anisotropic myocardial muscle. According to the bidomain theory, anisotropic electrical conductivities are presented as tensors in the intracellular and interstitial domains (D_i and D_e, respectively). Under the assumption of equal anisotropy ratio (D_i = kD_e), subthreshold behaviour of the excitable elements is governed by a parabolic reaction-diffusion equation for the membrane potential, solvable even on a desktop computer. In the case of more general anisotropies (D_i ≠ kD_e), also the interstitial potential needs to be solved simultaneously from an elliptic partial differential equation, requiring a supercomputer for large arrays of excitable elements. In both cases, the elements obey cellular automata rules in the suprathreshold state.We present preliminary results of the propagated excitation for different anisotropy ratios in a three-dimensional slab geometry.

Original language	English
Title of host publication	Functional Imaging and Modeling of the Heart - 1st International Workshop, FIMH 2001, Proceedings
Editors	Toivo Katila, Jukka Nenonen, Isabelle E. Magnin, Patrick Clarysse, Johan Montagnat
Publisher	Springer Verlag
Pages	140-147
Number of pages	8
ISBN (Print)	3540428615, 9783540428619
DOIs	https://doi.org/10.1007/3-540-45572-8_20
Publication status	Published - 2001
Event	1st International Workshop on Functional Imaging and Modeling of the Heart, FIMH 2001 - Helsinki, Finland Duration: Nov 15 2001 → Nov 16 2001

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2230
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	1st International Workshop on Functional Imaging and Modeling of the Heart, FIMH 2001
Country/Territory	Finland
City	Helsinki
Period	11/15/01 → 11/16/01

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2001.

ASJC Scopus Subject Areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/3-540-45572-8_20

Cite this

Simelius, K., Nenonen, J., & Horáček, B. M. (2001). Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model. In T. Katila, J. Nenonen, I. E. Magnin, P. Clarysse, & J. Montagnat (Eds.), Functional Imaging and Modeling of the Heart - 1st International Workshop, FIMH 2001, Proceedings (pp. 140-147). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2230). Springer Verlag. https://doi.org/10.1007/3-540-45572-8_20

Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model. / Simelius, Kim; Nenonen, Jukka; Horáček, B. Milan.
Functional Imaging and Modeling of the Heart - 1st International Workshop, FIMH 2001, Proceedings. ed. / Toivo Katila; Jukka Nenonen; Isabelle E. Magnin; Patrick Clarysse; Johan Montagnat. Springer Verlag, 2001. p. 140-147 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2230).

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

Simelius, K, Nenonen, J & Horáček, BM 2001, Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model. in T Katila, J Nenonen, IE Magnin, P Clarysse & J Montagnat (eds), Functional Imaging and Modeling of the Heart - 1st International Workshop, FIMH 2001, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2230, Springer Verlag, pp. 140-147, 1st International Workshop on Functional Imaging and Modeling of the Heart, FIMH 2001, Helsinki, Finland, 11/15/01. https://doi.org/10.1007/3-540-45572-8_20

Simelius K, Nenonen J, Horáček BM. Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model. In Katila T, Nenonen J, Magnin IE, Clarysse P, Montagnat J, editors, Functional Imaging and Modeling of the Heart - 1st International Workshop, FIMH 2001, Proceedings. Springer Verlag. 2001. p. 140-147. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-45572-8_20

Simelius, Kim ; Nenonen, Jukka ; Horáček, B. Milan. / Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model. Functional Imaging and Modeling of the Heart - 1st International Workshop, FIMH 2001, Proceedings. editor / Toivo Katila ; Jukka Nenonen ; Isabelle E. Magnin ; Patrick Clarysse ; Johan Montagnat. Springer Verlag, 2001. pp. 140-147 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We describe simulations of propagated electrical excitation in threedimensional anisotropic myocardial muscle. According to the bidomain theory, anisotropic electrical conductivities are presented as tensors in the intracellular and interstitial domains (Di and De, respectively). Under the assumption of equal anisotropy ratio (Di = kDe), subthreshold behaviour of the excitable elements is governed by a parabolic reaction-diffusion equation for the membrane potential, solvable even on a desktop computer. In the case of more general anisotropies (Di ≠ kDe), also the interstitial potential needs to be solved simultaneously from an elliptic partial differential equation, requiring a supercomputer for large arrays of excitable elements. In both cases, the elements obey cellular automata rules in the suprathreshold state.We present preliminary results of the propagated excitation for different anisotropy ratios in a three-dimensional slab geometry.",

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Simulation of anisotropic propagation in the myocardium with a hybrid bidomain model

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