Using dominant eigenvalue analysis to predict formation of alternans in the heart

Virendra Kakade, Xiaopeng Zhao, Elena G. Tolkacheva

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Ventricular fibrillation at the whole heart level is often preceded by the alternation of action potential duration (APD), i.e., alternans, at the cellular level. As proven in many experiments, traditional approaches based on the slope of the restitution curve have not been successful in predicting alternans formation. Recently, a technique has been theoretically developed based on dominant eigenvalue analysis to predict alternans formation in isolated cardiac myocytes. Here, we aimed to demonstrate that this technique can be applied to predict alternans formation at the whole heart level. Optical mapping was performed in Langendorff-perfused hearts from New Zealand white rabbits (n = 4), which were paced at decreasing basic cycle lengths to introduce APD alternans. In each heart, the basic cycle length corresponding to the local onset of alternans, Bonset, was determined and two regions of the heart were identified at Bonset: one region which exhibited alternans (1:1alt) and one which did not (1:1). Corresponding two-dimensional eigenvalue (λ) maps were generated using principal component analysis by analyzing action potentials after short perturbations from the steady state, and mean eigenvalues (λ̄) were calculated separately for the 1:1 and 1:1alt regions. We demonstrated that λ̄ calculated at Bonset was significantly different (p<0.05) between the two regions. Our results suggest that this dominant eigenvalue technique can be used to successfully predict the local alternans formation in the heart.

Original languageEnglish (US)
Article number052716
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number5
DOIs
StatePublished - Nov 22 2013

Fingerprint

Eigenvalue Analysis
eigenvalues
Predict
Action Potential
Cycle Length
Eigenvalue
Cardiac Myocytes
fibrillation
Ventricular Fibrillation
muscle cells
cycles
Alternation
rabbits
New Zealand
alternations
Rabbit
principal components analysis
Principal Component Analysis
Heart
Slope

Cite this

Using dominant eigenvalue analysis to predict formation of alternans in the heart. / Kakade, Virendra; Zhao, Xiaopeng; Tolkacheva, Elena G.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 88, No. 5, 052716, 22.11.2013.

Research output: Contribution to journalArticle

@article{62f8b09a087944af987a7bcab1d2855e,
title = "Using dominant eigenvalue analysis to predict formation of alternans in the heart",
abstract = "Ventricular fibrillation at the whole heart level is often preceded by the alternation of action potential duration (APD), i.e., alternans, at the cellular level. As proven in many experiments, traditional approaches based on the slope of the restitution curve have not been successful in predicting alternans formation. Recently, a technique has been theoretically developed based on dominant eigenvalue analysis to predict alternans formation in isolated cardiac myocytes. Here, we aimed to demonstrate that this technique can be applied to predict alternans formation at the whole heart level. Optical mapping was performed in Langendorff-perfused hearts from New Zealand white rabbits (n = 4), which were paced at decreasing basic cycle lengths to introduce APD alternans. In each heart, the basic cycle length corresponding to the local onset of alternans, Bonset, was determined and two regions of the heart were identified at Bonset: one region which exhibited alternans (1:1alt) and one which did not (1:1). Corresponding two-dimensional eigenvalue (λ) maps were generated using principal component analysis by analyzing action potentials after short perturbations from the steady state, and mean eigenvalues (λ̄) were calculated separately for the 1:1 and 1:1alt regions. We demonstrated that λ̄ calculated at Bonset was significantly different (p<0.05) between the two regions. Our results suggest that this dominant eigenvalue technique can be used to successfully predict the local alternans formation in the heart.",
author = "Virendra Kakade and Xiaopeng Zhao and Tolkacheva, {Elena G.}",
year = "2013",
month = "11",
day = "22",
doi = "10.1103/PhysRevE.88.052716",
language = "English (US)",
volume = "88",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Using dominant eigenvalue analysis to predict formation of alternans in the heart

AU - Kakade, Virendra

AU - Zhao, Xiaopeng

AU - Tolkacheva, Elena G.

PY - 2013/11/22

Y1 - 2013/11/22

N2 - Ventricular fibrillation at the whole heart level is often preceded by the alternation of action potential duration (APD), i.e., alternans, at the cellular level. As proven in many experiments, traditional approaches based on the slope of the restitution curve have not been successful in predicting alternans formation. Recently, a technique has been theoretically developed based on dominant eigenvalue analysis to predict alternans formation in isolated cardiac myocytes. Here, we aimed to demonstrate that this technique can be applied to predict alternans formation at the whole heart level. Optical mapping was performed in Langendorff-perfused hearts from New Zealand white rabbits (n = 4), which were paced at decreasing basic cycle lengths to introduce APD alternans. In each heart, the basic cycle length corresponding to the local onset of alternans, Bonset, was determined and two regions of the heart were identified at Bonset: one region which exhibited alternans (1:1alt) and one which did not (1:1). Corresponding two-dimensional eigenvalue (λ) maps were generated using principal component analysis by analyzing action potentials after short perturbations from the steady state, and mean eigenvalues (λ̄) were calculated separately for the 1:1 and 1:1alt regions. We demonstrated that λ̄ calculated at Bonset was significantly different (p<0.05) between the two regions. Our results suggest that this dominant eigenvalue technique can be used to successfully predict the local alternans formation in the heart.

AB - Ventricular fibrillation at the whole heart level is often preceded by the alternation of action potential duration (APD), i.e., alternans, at the cellular level. As proven in many experiments, traditional approaches based on the slope of the restitution curve have not been successful in predicting alternans formation. Recently, a technique has been theoretically developed based on dominant eigenvalue analysis to predict alternans formation in isolated cardiac myocytes. Here, we aimed to demonstrate that this technique can be applied to predict alternans formation at the whole heart level. Optical mapping was performed in Langendorff-perfused hearts from New Zealand white rabbits (n = 4), which were paced at decreasing basic cycle lengths to introduce APD alternans. In each heart, the basic cycle length corresponding to the local onset of alternans, Bonset, was determined and two regions of the heart were identified at Bonset: one region which exhibited alternans (1:1alt) and one which did not (1:1). Corresponding two-dimensional eigenvalue (λ) maps were generated using principal component analysis by analyzing action potentials after short perturbations from the steady state, and mean eigenvalues (λ̄) were calculated separately for the 1:1 and 1:1alt regions. We demonstrated that λ̄ calculated at Bonset was significantly different (p<0.05) between the two regions. Our results suggest that this dominant eigenvalue technique can be used to successfully predict the local alternans formation in the heart.

UR - http://www.scopus.com/inward/record.url?scp=84889640437&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84889640437&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.88.052716

DO - 10.1103/PhysRevE.88.052716

M3 - Article

C2 - 24329305

AN - SCOPUS:84889640437

VL - 88

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 5

M1 - 052716

ER -