Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification

Matthias Lange; Simone Palamara; Toni Lassila; Christian Vergara; Alfio Quarteroni; Alejandro F. Frangi

doi:10.1007/978-3-319-20309-6_49

Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification

Matthias Lange^*, Simone Palamara, Toni Lassila, Christian Vergara, Alfio Quarteroni, Alejandro F. Frangi

^*Corresponding author for this work

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

We present a numerical solver for the fast conduction system in the heart using both a CPU and a hybrid CPU/GPU implementation. To verify both implementations, we construct analytical solutions and show that the L2-error is similar in both implementations and decreases linearly with the spatial step size. Finally, we test the performance of the implementations with networks of varying complexity, where the hybrid implementation is, on average, 5.8 times faster.

Original language	English
Title of host publication	Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings
Editors	Hans van Assen, Peter Bovendeerd, Hans van Assen, Peter Bovendeerd, Tammo Delhaas, Tammo Delhaas
Publisher	Springer-Verlag Italia
Pages	430-438
Number of pages	9
ISBN (Print)	9783319203089, 9783319203089
DOIs	https://doi.org/10.1007/978-3-319-20309-6_49
Publication status	Published - 2015
Event	8th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2015 - Maastricht, Netherlands Duration: 25 Jun 2015 → 27 Jun 2015

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9126
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2015
Country/Territory	Netherlands
City	Maastricht
Period	25/06/15 → 27/06/15

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10.1007/978-3-319-20309-6_49

Cite this

Lange, M., Palamara, S., Lassila, T., Vergara, C., Quarteroni, A., & Frangi, A. F. (2015). Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification. In H. van Assen, P. Bovendeerd, H. van Assen, P. Bovendeerd, T. Delhaas, & T. Delhaas (Eds.), Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings (pp. 430-438). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9126). Springer-Verlag Italia. https://doi.org/10.1007/978-3-319-20309-6_49

Lange, Matthias ; Palamara, Simone ; Lassila, Toni et al. / Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks : Method and verification. Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings. editor / Hans van Assen ; Peter Bovendeerd ; Hans van Assen ; Peter Bovendeerd ; Tammo Delhaas ; Tammo Delhaas. Springer-Verlag Italia, 2015. pp. 430-438 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{63087471744d46e69a3b3cf7bb858ab9,

title = "Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification",

abstract = "We present a numerical solver for the fast conduction system in the heart using both a CPU and a hybrid CPU/GPU implementation. To verify both implementations, we construct analytical solutions and show that the L2-error is similar in both implementations and decreases linearly with the spatial step size. Finally, we test the performance of the implementations with networks of varying complexity, where the hybrid implementation is, on average, 5.8 times faster.",

author = "Matthias Lange and Simone Palamara and Toni Lassila and Christian Vergara and Alfio Quarteroni and Frangi, {Alejandro F.}",

note = "Funding Information: Simone Palamara has been funded by “Fondazione Cassa di Risparmio di Trento e Rovereto” (CARITRO) within the project “Numerical modelling of the electrical activity of the heart for the study of the ventricular dyssynchrony”. Christian Vergara has been partially supported by the Italian MIUR PRIN09 project no. 2009Y4RC3B_001. Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; 8th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2015 ; Conference date: 25-06-2015 Through 27-06-2015",

year = "2015",

doi = "10.1007/978-3-319-20309-6_49",

language = "English",

isbn = "9783319203089",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer-Verlag Italia",

pages = "430--438",

editor = "{van Assen}, Hans and Peter Bovendeerd and {van Assen}, Hans and Peter Bovendeerd and Tammo Delhaas and Tammo Delhaas",

booktitle = "Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings",

address = "Italy",

}

Lange, M, Palamara, S, Lassila, T, Vergara, C, Quarteroni, A & Frangi, AF 2015, Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification. in H van Assen, P Bovendeerd, H van Assen, P Bovendeerd, T Delhaas & T Delhaas (eds), Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9126, Springer-Verlag Italia, pp. 430-438, 8th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2015, Maastricht, Netherlands, 25/06/15. https://doi.org/10.1007/978-3-319-20309-6_49

Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification. / Lange, Matthias; Palamara, Simone; Lassila, Toni et al.
Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings. ed. / Hans van Assen; Peter Bovendeerd; Hans van Assen; Peter Bovendeerd; Tammo Delhaas; Tammo Delhaas. Springer-Verlag Italia, 2015. p. 430-438 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9126).

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks

T2 - 8th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2015

AU - Lange, Matthias

AU - Palamara, Simone

AU - Lassila, Toni

AU - Vergara, Christian

AU - Quarteroni, Alfio

AU - Frangi, Alejandro F.

N1 - Funding Information: Simone Palamara has been funded by “Fondazione Cassa di Risparmio di Trento e Rovereto” (CARITRO) within the project “Numerical modelling of the electrical activity of the heart for the study of the ventricular dyssynchrony”. Christian Vergara has been partially supported by the Italian MIUR PRIN09 project no. 2009Y4RC3B_001. Publisher Copyright: © Springer International Publishing Switzerland 2015.

PY - 2015

Y1 - 2015

N2 - We present a numerical solver for the fast conduction system in the heart using both a CPU and a hybrid CPU/GPU implementation. To verify both implementations, we construct analytical solutions and show that the L2-error is similar in both implementations and decreases linearly with the spatial step size. Finally, we test the performance of the implementations with networks of varying complexity, where the hybrid implementation is, on average, 5.8 times faster.

AB - We present a numerical solver for the fast conduction system in the heart using both a CPU and a hybrid CPU/GPU implementation. To verify both implementations, we construct analytical solutions and show that the L2-error is similar in both implementations and decreases linearly with the spatial step size. Finally, we test the performance of the implementations with networks of varying complexity, where the hybrid implementation is, on average, 5.8 times faster.

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SN - 9783319203089

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings

A2 - van Assen, Hans

A2 - Bovendeerd, Peter

A2 - van Assen, Hans

A2 - Bovendeerd, Peter

A2 - Delhaas, Tammo

PB - Springer-Verlag Italia

Y2 - 25 June 2015 through 27 June 2015

ER -

Lange M, Palamara S, Lassila T, Vergara C, Quarteroni A, Frangi AF. Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification. In van Assen H, Bovendeerd P, van Assen H, Bovendeerd P, Delhaas T, Delhaas T, editors, Functional Imaging and Modeling of the Heart - 8th International Conference, FIMH 2015, Proceedings. Springer-Verlag Italia. 2015. p. 430-438. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-20309-6_49

Efficient numerical schemes for computing cardiac electrical activation over realistic Purkinje networks: Method and verification

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