ArticlePloS one2012
Nonequilibrium arrhythmic states and transitions in a mathematical model for diffuse fibrosis in human cardiac tissue.
Article in PloS one, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Etiology-Specific Remodeling in Ventricular Tissue of Heart Failure Patients and Its Implications for Computational Modeling of Electrical Conduction.Frontiers in physiology · 2021Article
- Complexus cordisArchivos de cardiologia de Mexico · 2020Article
- Influence of the distribution of fibrosis within an area of myocardial infarction on wave propagation in ventricular tissue.Scientific reports · 2019Article
- Dynamics of the Ghrelin/Growth Hormone Secretagogue Receptor System in the Human Heart Before and After Cardiac Transplantation.Journal of the Endocrine Society · 2019Article
- Dispersion of Recovery and Vulnerability to Re-entry in a Model of Human Atrial Tissue With Simulated Diffuse and Focal Patterns of Fibrosis.Frontiers in physiology · 2018Article
- CaFrontiers in physiology · 2018Article
- Reentry via high-frequency pacing in a mathematical model for human-ventricular cardiac tissue with a localized fibrotic region.Scientific reports · 2017Article
- A Mathematical Model of Neonatal Rat Atrial Monolayers with Constitutively Active Acetylcholine-Mediated K+ Current.PLoS computational biology · 2016Article
- Islands of spatially discordant APD alternans underlie arrhythmogenesis by promoting electrotonic dyssynchrony in models of fibrotic rat ventricular myocardium.Scientific reports · 2016Article
- Shensong Yangxin (SSYX) ameliorates disordered excitation transmission by suppressing cardiac collagen hyperplasia in rabbits with chronic myocardial infarction.Journal of Huazhong University of Science and Technology. Medical sciences = Hua zhong ke ji da xue xue bao. Yi xue Ying De wen ban = Huazhong keji daxue xuebao. Yixue Yingdewen ban · 2016Article
- Effects of Heterogeneous Diffuse Fibrosis on Arrhythmia Dynamics and Mechanism.Scientific reports · 2016Article
- A Computational Study of the Factors Influencing the PVC-Triggering Ability of a Cluster of Early Afterdepolarization-Capable Myocytes.PloS one · 2015Article
- Computational Approaches to Understanding the Role of Fibroblast-Myocyte Interactions in Cardiac Arrhythmogenesis.BioMed research international · 2015Review
- The role of cellular coupling in the spontaneous generation of electrical activity in uterine tissue.PloS one · 2015Article
- Human cardiac systems electrophysiology and arrhythmogenesis: iteration of experiment and computation.Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology · 2014Review
- Spiral-wave dynamics in ionically realistic mathematical models for human ventricular tissue: the effects of periodic deformation.Frontiers in physiology · 2014Article
- Electrophysiological and structural remodeling in heart failure modulate arrhythmogenesis. 1D simulation study.PloS one · 2014Article
- Electrophysiological and structural remodeling in heart failure modulate arrhythmogenesis. 2D simulation study.PloS one · 2014Article
- Spiral-wave dynamics in a mathematical model of human ventricular tissue with myocytes and fibroblasts.PloS one · 2013Article
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3 authors.
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Abstract
We present a comprehensive numerical study of spiral- and scroll-wave dynamics in a state-of-the-art mathematical model for human ventricular tissue with fiber rotation, transmural heterogeneity, myocytes, and fibroblasts. Our mathematical model introduces fibroblasts randomly, to mimic diffuse fibrosis, in the ten Tusscher-Noble-Noble-Panfilov (TNNP) model for human ventricular tissue; the passive fibroblasts in our model do not exhibit an action potential in the absence of coupling with myocytes; and we allow for a coupling between nearby myocytes and fibroblasts. Our study of a single myocyte-fibroblast (MF) composite, with a single myocyte coupled to N(f) fibroblasts via a gap-junctional conductance G(gap), reveals five qualitatively different responses for this composite. Our investigations of two-dimensional domains with a random distribution of fibroblasts in a myocyte background reveal that, as the percentage P(f) of fibroblasts increases, the conduction velocity of a plane wave decreases until there is conduction failure. If we consider spiral-wave dynamics in such a medium we find, in two dimensions, a variety of nonequilibrium states, temporally periodic, quasiperiodic, chaotic, and quiescent, and an intricate sequence of transitions between them; we also study the analogous sequence of transitions for three-dimensional scroll waves in a three-dimensional version of our mathematical model that includes both fiber rotation and transmural heterogeneity. We thus elucidate random-fibrosis-induced nonequilibrium transitions, which lead to conduction block for spiral waves in two dimensions and scroll waves in three dimensions. We explore possible experimental implications of our mathematical and numerical studies for plane-, spiral-, and scroll-wave dynamics in cardiac tissue with fibrosis.
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