2016
DOI: 10.1113/jp270513
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Mechanistically based mapping of human cardiac fibrillation

Abstract: The mechanisms underpinning human cardiac fibrillation remain elusive. In his 1913 paper ‘On dynamic equilibrium in the heart’, Mines proposed that an activation wave front could propagate repeatedly in a circle, initiated by a stimulus in the vulnerable period. While the dynamics of activation and recovery are central to cardiac fibrillation, these physiological data are rarely used in clinical mapping. Fibrillation is a rapid irregular rhythm with spatiotemporal disorder resulting from two fundamental mechan… Show more

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Cited by 37 publications
(31 citation statements)
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References 123 publications
(193 reference statements)
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“…However, most studies accept the importance of atrial structure, and all mechanisms would benefit from a method that can quantify the contribution of atrial structural substrates to AF maintenance 32, 33, 34, 35, 36, 37, 38, 39. Spach and colleagues were the first to report local conduction delay and morphological changes in electrical signals caused by abrupt changes in myofiber orientations and geometric tissue variations in the dog atria ex vivo 40.…”
Section: Discussionmentioning
confidence: 99%
“…However, most studies accept the importance of atrial structure, and all mechanisms would benefit from a method that can quantify the contribution of atrial structural substrates to AF maintenance 32, 33, 34, 35, 36, 37, 38, 39. Spach and colleagues were the first to report local conduction delay and morphological changes in electrical signals caused by abrupt changes in myofiber orientations and geometric tissue variations in the dog atria ex vivo 40.…”
Section: Discussionmentioning
confidence: 99%
“…The spectrum of the evolution operator U (t, 0) was computed using the Arnoldi method implemented by the Matlab function eigs 41 with accuracy yielding eight significant digits. In both instances matrix-free evaluation of the the matrix-vector product U (t, 0) δu was accomplished via simultaneous numerical time-integration of (1) and (8). The matrix-free calculation of the product U (t, 0)…”
Section: B Periodic Solutionsmentioning
confidence: 99%
“…The weaker the asymptotic decay, the larger the amplification that can be achieved. Computation of max t σ 1 (t) is numerically rather expensive, since SVD requires alternate direction integration of the linear PDEs (8) and (14) on the time interval [0, t] and there is no simple relation that allows one to compute the singular values at time t + dt based on their values at time t. We therefore performed this calculation over many pacing periods on a coarse grid with ∆t = T /10.…”
Section: Generalized Linear Stability Analysismentioning
confidence: 99%
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“…Accurate repolarization data may clarify the debate on complex fractionated atrial electrograms by identifying which signal components are far-field vs “pivot points.” 1 Repolarization data also may help resolve the dichotomy that optical mapping—the gold standard—mostly shows that rotors sustain AF (including in human atria 8 ), yet most classic electrogram analyses of AF do not 15 . Finally, repolarization data may enable tracking of response to therapy.…”
Section: Limitations and Future Directionsmentioning
confidence: 99%