High Entropy Identifies Regions of Repetitive Wave Cross-Propagation: Insights from Computational Simulations

D Dharmaprani; P Kuklik; A McGavigan; A Ganesan

doi:10.1016/j.hlc.2018.06.277

Abstract

Background: High entropy (En) of bipolar electrograms correlates with the pivot of rotating waves in atrial fibrillation. We hypothesised high En could also co-localise with regions of direct wave collision and repetitive cross-propagation, and study the behavior of approximate, sample, and Shannon entropy (ApEn/SampEn/ShEn), and dominant frequency (DF) in computational simulations. Methods: Multiple atrial fibrillation scenarios demonstrating regions of complex wave–wave interaction (cross-propagation regions), as well as simulations of direct colliding waves were developed using two-dimensional, isotropic, square grids in a custom C++ environment and the Tusscher–Panfilov phenomenological model. Extracellular bipolar electrograms were constructed. ApEn/SampEn/ShEn/DF of each scenario was computed, and En and DF maps constructed to visualise peak ApEn/SampEn/ShEn/DF regions. Results: In simulations depicting the head-on collision of waves, low ShEn/ApEn/SampEn were associated with collision zone. Contrastingly, DF was uniform across entire mapped region. Repetitive wave break was analysed in 10 scenarios, including (1) stable rotational wave surrounded by spiral break-up; and (2) multi-wavelet re-entry. Peak En at the cross propagation zone was compared with surrounding planar propagation. The difference between repetitive wave break and planar zones was (ApEn:1.75 bits ± 0.9, p < 0.01; ShEn:0.75 bits ± 0.3, p < 0.01; SampEn:2.5 bits ± 0.3, p < 0.01). Qualitatively, high ShEn/ApEn/SampEn regions were associated with interaction zones in which waves repeatedly arrive from different directions, whereas high DF regions did not show association to such behaviour. Conclusion: This analysis, for the first time, demonstrates that repetitive wave cross-propagation regions are associated with high En, whereas direct wave collision creates lower En. Contrastingly, high DF regions were not associated with either case.

Original language	English
Pages	S166
Number of pages	1
DOIs	https://doi.org/10.1016/j.hlc.2018.06.277
Publication status	Published - 26 Jul 2018
Event	66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting - Brisbane Convention Centre, Brisbane, Australia Duration: 2 Aug 2018 → 5 Aug 2018

Conference

Conference	66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting
Abbreviated title	CSANZ2018 ANZET18
Country/Territory	Australia
City	Brisbane
Period	2/08/18 → 5/08/18

Keywords

bipolar electrograms
atrial fibrillation
computational modelling

Access to Document

10.1016/j.hlc.2018.06.277Licence: In Copyright

Cite this

Dharmaprani, D., Kuklik, P., McGavigan, A., & Ganesan, A. (2018). High Entropy Identifies Regions of Repetitive Wave Cross-Propagation: Insights from Computational Simulations. S166. Abstract from 66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting, Brisbane, Queensland, Australia. https://doi.org/10.1016/j.hlc.2018.06.277

Dharmaprani, D ; Kuklik, P ; McGavigan, A et al. / High Entropy Identifies Regions of Repetitive Wave Cross-Propagation : Insights from Computational Simulations. Abstract from 66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting, Brisbane, Queensland, Australia.1 p.

@conference{53a514f1e0a14c5f9b57c16cae0e3ea3,

title = "High Entropy Identifies Regions of Repetitive Wave Cross-Propagation: Insights from Computational Simulations",

abstract = "Background: High entropy (En) of bipolar electrograms correlates with the pivot of rotating waves in atrial fibrillation. We hypothesised high En could also co-localise with regions of direct wave collision and repetitive cross-propagation, and study the behavior of approximate, sample, and Shannon entropy (ApEn/SampEn/ShEn), and dominant frequency (DF) in computational simulations. Methods: Multiple atrial fibrillation scenarios demonstrating regions of complex wave–wave interaction (cross-propagation regions), as well as simulations of direct colliding waves were developed using two-dimensional, isotropic, square grids in a custom C++ environment and the Tusscher–Panfilov phenomenological model. Extracellular bipolar electrograms were constructed. ApEn/SampEn/ShEn/DF of each scenario was computed, and En and DF maps constructed to visualise peak ApEn/SampEn/ShEn/DF regions. Results: In simulations depicting the head-on collision of waves, low ShEn/ApEn/SampEn were associated with collision zone. Contrastingly, DF was uniform across entire mapped region. Repetitive wave break was analysed in 10 scenarios, including (1) stable rotational wave surrounded by spiral break-up; and (2) multi-wavelet re-entry. Peak En at the cross propagation zone was compared with surrounding planar propagation. The difference between repetitive wave break and planar zones was (ApEn:1.75 bits ± 0.9, p < 0.01; ShEn:0.75 bits ± 0.3, p < 0.01; SampEn:2.5 bits ± 0.3, p < 0.01). Qualitatively, high ShEn/ApEn/SampEn regions were associated with interaction zones in which waves repeatedly arrive from different directions, whereas high DF regions did not show association to such behaviour. Conclusion: This analysis, for the first time, demonstrates that repetitive wave cross-propagation regions are associated with high En, whereas direct wave collision creates lower En. Contrastingly, high DF regions were not associated with either case.",

keywords = "bipolar electrograms, atrial fibrillation, computational modelling",

author = "D Dharmaprani and P Kuklik and A McGavigan and A Ganesan",

year = "2018",

month = jul,

day = "26",

doi = "10.1016/j.hlc.2018.06.277",

language = "English",

pages = "S166",

note = "66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting, CSANZ2018 ANZET18 ; Conference date: 02-08-2018 Through 05-08-2018",

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Dharmaprani, D, Kuklik, P, McGavigan, A & Ganesan, A 2018, 'High Entropy Identifies Regions of Repetitive Wave Cross-Propagation: Insights from Computational Simulations', 66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting, Brisbane, Australia, 2/08/18 - 5/08/18 pp. S166. https://doi.org/10.1016/j.hlc.2018.06.277

High Entropy Identifies Regions of Repetitive Wave Cross-Propagation : Insights from Computational Simulations. / Dharmaprani, D; Kuklik, P; McGavigan, A et al.

2018. S166 Abstract from 66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting, Brisbane, Queensland, Australia.

Research output: Contribution to conference › Abstract › peer-review

TY - CONF

T1 - High Entropy Identifies Regions of Repetitive Wave Cross-Propagation

T2 - 66th Cardiac Society of Australia and New Zealand Annual Scientific Meeting, the International Society for Heart Research Australasian Section Annual Scientific Meeting and the 12th Annual Australia and New Zealand Endovascular Therapies Meeting

AU - Dharmaprani, D

AU - Kuklik, P

AU - McGavigan, A

AU - Ganesan, A

PY - 2018/7/26

Y1 - 2018/7/26

N2 - Background: High entropy (En) of bipolar electrograms correlates with the pivot of rotating waves in atrial fibrillation. We hypothesised high En could also co-localise with regions of direct wave collision and repetitive cross-propagation, and study the behavior of approximate, sample, and Shannon entropy (ApEn/SampEn/ShEn), and dominant frequency (DF) in computational simulations. Methods: Multiple atrial fibrillation scenarios demonstrating regions of complex wave–wave interaction (cross-propagation regions), as well as simulations of direct colliding waves were developed using two-dimensional, isotropic, square grids in a custom C++ environment and the Tusscher–Panfilov phenomenological model. Extracellular bipolar electrograms were constructed. ApEn/SampEn/ShEn/DF of each scenario was computed, and En and DF maps constructed to visualise peak ApEn/SampEn/ShEn/DF regions. Results: In simulations depicting the head-on collision of waves, low ShEn/ApEn/SampEn were associated with collision zone. Contrastingly, DF was uniform across entire mapped region. Repetitive wave break was analysed in 10 scenarios, including (1) stable rotational wave surrounded by spiral break-up; and (2) multi-wavelet re-entry. Peak En at the cross propagation zone was compared with surrounding planar propagation. The difference between repetitive wave break and planar zones was (ApEn:1.75 bits ± 0.9, p < 0.01; ShEn:0.75 bits ± 0.3, p < 0.01; SampEn:2.5 bits ± 0.3, p < 0.01). Qualitatively, high ShEn/ApEn/SampEn regions were associated with interaction zones in which waves repeatedly arrive from different directions, whereas high DF regions did not show association to such behaviour. Conclusion: This analysis, for the first time, demonstrates that repetitive wave cross-propagation regions are associated with high En, whereas direct wave collision creates lower En. Contrastingly, high DF regions were not associated with either case.

AB - Background: High entropy (En) of bipolar electrograms correlates with the pivot of rotating waves in atrial fibrillation. We hypothesised high En could also co-localise with regions of direct wave collision and repetitive cross-propagation, and study the behavior of approximate, sample, and Shannon entropy (ApEn/SampEn/ShEn), and dominant frequency (DF) in computational simulations. Methods: Multiple atrial fibrillation scenarios demonstrating regions of complex wave–wave interaction (cross-propagation regions), as well as simulations of direct colliding waves were developed using two-dimensional, isotropic, square grids in a custom C++ environment and the Tusscher–Panfilov phenomenological model. Extracellular bipolar electrograms were constructed. ApEn/SampEn/ShEn/DF of each scenario was computed, and En and DF maps constructed to visualise peak ApEn/SampEn/ShEn/DF regions. Results: In simulations depicting the head-on collision of waves, low ShEn/ApEn/SampEn were associated with collision zone. Contrastingly, DF was uniform across entire mapped region. Repetitive wave break was analysed in 10 scenarios, including (1) stable rotational wave surrounded by spiral break-up; and (2) multi-wavelet re-entry. Peak En at the cross propagation zone was compared with surrounding planar propagation. The difference between repetitive wave break and planar zones was (ApEn:1.75 bits ± 0.9, p < 0.01; ShEn:0.75 bits ± 0.3, p < 0.01; SampEn:2.5 bits ± 0.3, p < 0.01). Qualitatively, high ShEn/ApEn/SampEn regions were associated with interaction zones in which waves repeatedly arrive from different directions, whereas high DF regions did not show association to such behaviour. Conclusion: This analysis, for the first time, demonstrates that repetitive wave cross-propagation regions are associated with high En, whereas direct wave collision creates lower En. Contrastingly, high DF regions were not associated with either case.

KW - bipolar electrograms

KW - atrial fibrillation

KW - computational modelling

U2 - 10.1016/j.hlc.2018.06.277

DO - 10.1016/j.hlc.2018.06.277

M3 - Abstract

SP - S166

Y2 - 2 August 2018 through 5 August 2018

ER -