Document Type
Article
Publication Date
2019
Abstract
This study uses a probabilistic cellular automata (PCA) to model the spatial and temporal dynamics of calcium release units (CRUs) within cardiac myocytes. The CRUs are subject to random activation, nearest-neighbor recruitment, and temporal refractoriness, and their interactions produce a physiologically-important condition called calcium alternans, a beat-to-beat oscillation in the amount of calcium released. In the PCA this manifests as a transition to period-2 behavior in the fraction of activated lattice sites. We investigate this phenomenon using PCA simulations and moment-closure approximation methods of zero order (mean-field), first order (pair), and second order (quartet). We show that only the quartet approximation (QA) accurately predicts the thresholds of the activation and recruitment.
Digital Commons @ LMU & LLS Citation
Rovetti, Robert J. "Improved Prediction of Periodicity Using Quartet Approximation in a Lattice Model of Intracellular Calcium Release." Frontiers in Applied Mathematics and Statistics, 2019.
