A bilayer model of human atria: mathematical background, construction, and assessment

Abstract

Atrial structure plays the dominant role in determining activation. A bilayer model is able to take into account transmural heterogeneities, while maintaining the low computational load associated with surface models.

Myofiber Architecture of the Human Atria as Revealed by Submillimeter Diffusion Tensor Imaging

“…37,38 Accurate human atrial fiber orientation data are essential for the construction of computational models of the whole human atria, 14,39,40 and the need for it has been acknowledged in numerous studies. [41][42][43][44][45] The DTMRI results presented here provide unprecedented detail about fiber architecture that can easily be incorporated in atrial models by coregistration and morphing methodologies. 25,46 The presented set of the major bundles ( Figure 5) in combination with information about wall thickness and transmural distribution of fiber orientation could form the basis for an accurate mathematical reconstruction of atrial fiber architecture (ie, a rule-based approach, comprising of fiber orientation rules based on the present data), thus enabling atrial model construction from purely geometric data (eg, CT or MRI scans) of individual patient atria.…”

Computation and Projection of Spiral Wave Trajectories During Atrial Fibrillation

“…Full details of the model are available in Ref. 12 Reentry was induced by an ectopic focus centered around the pulmonary vein delivered at 270 milliseconds after a normal beat originating from the sinoatrial node. The reentry, which developed, was sustained and persisted for the length of the simulation, 3.4 seconds.…”

An Asymptotic Two-Layer Monodomain Model of Cardiac Electrophysiology in the Atria: Derivation and Convergence

“…The biomedical relevance of the two-layer model was widely numerically investigated in [4] whereas a two-layer model of human atria was presented in [10]. The present paper addresses the consistency of these models and rigorously proves, under simplifying assumptions on the fiber orientation near the boundary, the mathematical convergence of the mono-and two-layer models towards averaged 3D solutions when the tissue thickness goes to zero.…”

“…In [4], we investigate the 2×2D model by comparing its activation maps to the 3D ones for different geometries; this work addresses the 2×2D robustness to meaningful biomedical situations. Furthermore, we propose in [10] an anatomically and structurally accurate 2×2D model of human atria, including fiber and functional heterogeneities, which is able to address biomedical issues. We believe that it will become an appreciated tool to study the structure-to-function relations in the atria, from a medical point of view.…”