ArticleBiophysical journal2003
Model of intracellular calcium cycling in ventricular myocytes.
Article in Biophysical journal, 2003. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 101 papers.
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Who cites it
101 citing papers in PubMed, 219 citations in OpenAlex.
- Excitation and mechanical contraction of a 3D cardiomyocyte model.Biophysical journal · 2025Article
- Dynamical effects of mechano-chemo-transduction on cardiac alternans.Biophysical journal · 2025Article
- Role of ryanodine receptor cooperativity in CaThe Journal of physiology · 2024Article
- Article
- Intracellular ion accumulation in the genesis of complex action potential dynamics under cardiac diseases.Physical review. E · 2024Article
- A computational model predicts sex-specific responses to calcium channel blockers in mammalian mesenteric vascular smooth muscle.bioRxiv : the preprint server for biology · 2024Article
- Cardiac Alternans: From Bedside to Bench and Back.Circulation research · 2023Review
- Modeling Calcium Cycling in the Heart: Progress, Pitfalls, and Challenges.Biomolecules · 2022Review
- Optical Ultrastructure of Large Mammalian Hearts Recovers Discordant Alternans byFrontiers in network physiology · 2022Article
- Multi-Scale Computational Modeling of Spatial Calcium Handling From Nanodomain to Whole-Heart: Overview and Perspectives.Frontiers in physiology · 2022Review
- The development of L-type CaScientific reports · 2021Article
- Stress-driven cardiac calcium mishandling via a kinase-to-kinase crosstalk.Pflugers Archiv : European journal of physiology · 2021Review
- Mechanisms of ranolazine pretreatment in preventing ventricular tachyarrhythmias in diabetic db/db mice with acute regional ischemia-reperfusion injury.Scientific reports · 2020Article
- Impact of IBiophysical journal · 2020Article
- Sensitivity of a data-assimilation system for reconstructing three-dimensional cardiac electrical dynamics.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2020Article
- Two-variable nullcline analysis of ionic general equilibrium predicts calcium homeostasis in ventricular myocytes.PLoS computational biology · 2020Article
- Feedback control of calcium driven alternans in cardiac myocytes.Chaos (Woodbury, N.Y.) · 2020Article
- Periplocymarin Plays an Efficacious Cardiotonic RoleFrontiers in pharmacology · 2020Article
- Calcium Handling Defects and Cardiac Arrhythmia Syndromes.Frontiers in pharmacology · 2020Review
- Stochastic coupled map model of subcellular calcium cycling in cardiac cells.Chaos (Woodbury, N.Y.) · 2019Article
41 more citing papers are in PubMed but not listed here.
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Authors and funding
5 authors at 2 institutions in 1 country.
Funding
Abstract
We present a mathematical model of calcium cycling that takes into account the spatially localized nature of release events that correspond to experimentally observed calcium sparks. This model naturally incorporates graded release by making the rate at which calcium sparks are recruited proportional to the whole cell L-type calcium current, with the total release of calcium from the sarcoplasmic reticulum (SR) being just the sum of local releases. The dynamics of calcium cycling is studied by pacing the model with a clamped action potential waveform. Experimentally observed calcium alternans are obtained at high pacing rates. The results show that the underlying mechanism for this phenomenon is a steep nonlinear dependence of the calcium released from the SR on the diastolic SR calcium concentration (SR load) and/or the diastolic calcium level in the cytosol, where the dependence on diastolic calcium is due to calcium-induced inactivation of the L-type calcium current. In addition, the results reveal that the calcium dynamics can become chaotic even though the voltage pacing is periodic. We reduce the equations of the model to a two-dimensional discrete map that relates the SR and cytosolic concentrations at one beat and the previous beat. From this map, we obtain a condition for the onset of calcium alternans in terms of the slopes of the release-versus-SR load and release-versus-diastolic-calcium curves. From an analysis of this map, we also obtain an understanding of the origin of chaotic dynamics.
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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.