ArticlePhysical review. E2018
Memory-induced nonlinear dynamics of excitation in cardiac diseases.
Article in Physical review. E, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed, 16 citations in OpenAlex.
- Mechanical memory of excitable cells induced by mechanosensitive channel inactivation.Biophysical journal · 2025Article
- Impact of Calcium and Potassium Currents on Spiral Wave Dynamics in the LR1 Model.Entropy (Basel, Switzerland) · 2025Article
- Intracellular ion accumulation in the genesis of complex action potential dynamics under cardiac diseases.Physical review. E · 2024Article
- Cardiac Alternans: From Bedside to Bench and Back.Circulation research · 2023Review
- Synchronization of spatially discordant voltage and calcium alternans in cardiac tissue.Physical review. E · 2022Article
- Bifurcations and Proarrhythmic Behaviors in Cardiac Electrical Excitations.Biomolecules · 2022Review
- Why Is Only Type 1 Electrocardiogram Diagnostic of Brugada Syndrome? Mechanistic Insights From Computer Modeling.Circulation. Arrhythmia and electrophysiology · 2022Article
- Application of a Diagnostic Methodology of Cardiac Systems Based on the Proportions of Entropy in Normal Patients and with Different Pathologies.Pulse (Basel, Switzerland) · 2021Article
- Life and death saddles in the heart.Physical review. E · 2021Article
- The transient outward potassium current plays a key role in spiral wave breakup in ventricular tissue.American journal of physiology. Heart and circulatory physiology · 2021Article
- Small-conductance CaHeart rhythm · 2020Article
- Spatially Discordant Repolarization Alternans in the Absence of Conduction Velocity Restitution.Biophysical journal · 2020Article
- Bifurcations Caused by Feedback between Voltage and Intracellular Ion Concentrations in Ventricular Myocytes.Physical review letters · 2019Article
- Short-Long Heart Rate Variation Increases Dispersion of Action Potential Duration in Long QT Type 2 Transgenic Rabbit Model.Scientific reports · 2019Article
- Control of voltage-driven instabilities in cardiac myocytes with memory.Chaos (Woodbury, N.Y.) · 2018Article
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
Excitable cells, such as cardiac myocytes, exhibit short-term memory, i.e., the state of the cell depends on its history of excitation. Memory can originate from slow recovery of membrane ion channels or from accumulation of intracellular ion concentrations, such as calcium ion or sodium ion concentration accumulation. Here we examine the effects of memory on excitation dynamics in cardiac myocytes under two diseased conditions, early repolarization and reduced repolarization reserve, each with memory from two different sources: slow recovery of a potassium ion channel and slow accumulation of the intracellular calcium ion concentration. We first carry out computer simulations of action potential models described by differential equations to demonstrate complex excitation dynamics, such as chaos. We then develop iterated map models that incorporate memory, which accurately capture the complex excitation dynamics and bifurcations of the action potential models. Finally, we carry out theoretical analyses of the iterated map models to reveal the underlying mechanisms of memory-induced nonlinear dynamics. Our study demonstrates that the memory effect can be unmasked or greatly exacerbated under certain diseased conditions, which promotes complex excitation dynamics, such as chaos. The iterated map models reveal that memory converts a monotonic iterated map function into a nonmonotonic one to promote the bifurcations leading to high periodicity and chaos.
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