ArticlePhysics reports2014
Nonlinear and Stochastic Dynamics in the Heart.
Article in Physics reports, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 69 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
69 citing papers in PubMed, 219 citations in OpenAlex.
- Cardiac Impulse Propagation: An Integrated View.JACC. Basic to translational science · 2026Review
- Ephaptic coupling and the source-sink effect of cardiac conduction.The Journal of physiology · 2026Article
- Article
- CDR1as modulates arrhythmia post-myocardial infarction via regulating Cav1.2.Acta biochimica et biophysica Sinica · 2025Article
- Ultrastructure and cardiac impulse propagation: scaling up from microscopic to macroscopic conduction.The Journal of physiology · 2025Review
- Article
- Role of ryanodine receptor cooperativity in CaThe Journal of physiology · 2024Article
- From resonance to chaos by modulating spatiotemporal patterns through a synthetic optogenetic oscillator.Nature communications · 2024Article
- Evaluation of the responsiveness pattern to caffeine through a smart data-driven ECG non-linear multi-band analysis.Heliyon · 2024Article
- Intracellular ion accumulation in the genesis of complex action potential dynamics under cardiac diseases.Physical review. E · 2024Article
- Cardiovascular Diseases Diagnosis Using an ECG Multi-Band Non-Linear Machine Learning Framework Analysis.Bioengineering (Basel, Switzerland) · 2024Article
- Bistable spiral wave dynamics in electrically excitable media.Physical review. E · 2023Article
- Inpainting surgical occlusion from laparoscopic video sequences for robot-assisted interventions.Journal of medical imaging (Bellingham, Wash.) · 2023Article
- What makes the sinoatrial node tick? A question not for the faint of heart.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2023Review
- Bifurcations to transient and oscillatory excitations in inhomogeneous excitable media: Insights into arrhythmogenesis in long QT syndrome.Physical review. E · 2023Article
- Toward a Physiologically Relevant 3D Helicoidal-Oriented Cardiac Model: Simultaneous Application of Mechanical Stimulation and Surface Topography.Bioengineering (Basel, Switzerland) · 2023Article
- Validation of a non-linear index of heart rate variability to determine aerobic and anaerobic thresholds during incremental cycling exercise in women.European journal of applied physiology · 2023Article
- Cardiac Alternans: From Bedside to Bench and Back.Circulation research · 2023Review
- Modeling Calcium Cycling in the Heart: Progress, Pitfalls, and Challenges.Biomolecules · 2022Review
- Bistable nerve conduction.Biophysical journal · 2022Article
9 more citing papers are in PubMed but not listed here.
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
4 authors at 2 institutions in 2 countries.
Funding
Abstract
In a normal human life span, the heart beats about 2 to 3 billion times. Under diseased conditions, a heart may lose its normal rhythm and degenerate suddenly into much faster and irregular rhythms, called arrhythmias, which may lead to sudden death. The transition from a normal rhythm to an arrhythmia is a transition from regular electrical wave conduction to irregular or turbulent wave conduction in the heart, and thus this medical problem is also a problem of physics and mathematics. In the last century, clinical, experimental, and theoretical studies have shown that dynamical theories play fundamental roles in understanding the mechanisms of the genesis of the normal heart rhythm as well as lethal arrhythmias. In this article, we summarize in detail the nonlinear and stochastic dynamics occurring in the heart and their links to normal cardiac functions and arrhythmias, providing a holistic view through integrating dynamics from the molecular (microscopic) scale, to the organelle (mesoscopic) scale, to the cellular, tissue, and organ (macroscopic) scales. We discuss what existing problems and challenges are waiting to be solved and how multi-scale mathematical modeling and nonlinear dynamics may be helpful for solving these problems.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.