ArticleBiophysical journal2007
A probability density approach to modeling local control of calcium-induced calcium release in cardiac myocytes.
Article in Biophysical journal, 2007. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed, 68 citations in OpenAlex.
- Modeling Calcium Cycling in the Heart: Progress, Pitfalls, and Challenges.Biomolecules · 2022Review
- Multi-Scale Computational Modeling of Spatial Calcium Handling From Nanodomain to Whole-Heart: Overview and Perspectives.Frontiers in physiology · 2022Review
- Metabolic Remodeling and Implicated Calcium and Signal Transduction Pathways in the Pathogenesis of Heart Failure.International journal of molecular sciences · 2021Review
- In silico simulations reveal that RYR distribution affects the dynamics of calcium release in cardiac myocytes.The Journal of general physiology · 2021Article
- Primary cilium: a paradigm for integrating mathematical modeling with experiments and numerical simulations in mechanobiology.Mathematical biosciences and engineering : MBE · 2021Article
- From Local to Global Modeling for Characterizing Calcium Dynamics and Their Effects on Electrical Activity and Exocytosis in Excitable Cells.International journal of molecular sciences · 2019Article
- Concise Whole-Cell Modeling of BKBiophysical journal · 2017Article
- Studying dyadic structure-function relationships: a review of current modeling approaches and new insights into CaClinical Medicine Insights. Cardiology · 2017Article
- Ryanodine receptor sensitivity governs the stability and synchrony of local calcium release during cardiac excitation-contraction coupling.Journal of molecular and cellular cardiology · 2016Article
- A human ventricular myocyte model with a refined representation of excitation-contraction coupling.Biophysical journal · 2015Article
- Decoding myocardial Ca²⁺ signals across multiple spatial scales: a role for sensitivity analysis.Journal of molecular and cellular cardiology · 2013Review
- Discrete-state stochastic models of calcium-regulated calcium influx and subspace dynamics are not well-approximated by ODEs that neglect concentration fluctuations.Computational and mathematical methods in medicine · 2012Article
- How does the ryanodine receptor in the ventricular myocyte wake up: by a single or by multiple open L-type Ca2+ channels?European biophysics journal : EBJ · 2012Article
- Timescales of IP(3)-evoked Ca(2+) spikes emerge from Ca(2+) puffs only at the cellular level.Biophysical journal · 2011Article
- Dynamics of calcium sparks and calcium leak in the heart.Biophysical journal · 2011Article
- Integrative systems models of cardiac excitation-contraction coupling.Circulation research · 2011Review
- Spontaneous Ca2+ sparks and Ca2+ homeostasis in a minimal model of permeabilized ventricular myocytes.American journal of physiology. Heart and circulatory physiology · 2010Article
- Ca2+ alternans in a cardiac myocyte model that uses moment equations to represent heterogeneous junctional SR Ca2+.Biophysical journal · 2010Article
- Models of cardiac excitation-contraction coupling in ventricular myocytes.Mathematical biosciences · 2010Review
- Moment closure for local control models of calcium-induced calcium release in cardiac myocytes.Biophysical journal · 2008Article
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Authors and funding
5 authors at 3 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We present a probability density approach to modeling localized Ca2+ influx via L-type Ca2+ channels and Ca2+-induced Ca2+ release mediated by clusters of ryanodine receptors during excitation-contraction coupling in cardiac myocytes. Coupled advection-reaction equations are derived relating the time-dependent probability density of subsarcolemmal subspace and junctional sarcoplasmic reticulum [Ca2+] conditioned on "Ca2+ release unit" state. When these equations are solved numerically using a high-resolution finite difference scheme and the resulting probability densities are coupled to ordinary differential equations for the bulk myoplasmic and sarcoplasmic reticulum [Ca2+], a realistic but minimal model of cardiac excitation-contraction coupling is produced. Modeling Ca2+ release unit activity using this probability density approach avoids the computationally demanding task of resolving spatial aspects of global Ca2+ signaling, while accurately representing heterogeneous local Ca2+ signals in a population of diadic subspaces and junctional sarcoplasmic reticulum depletion domains. The probability density approach is validated for a physiologically realistic number of Ca2+ release units and benchmarked for computational efficiency by comparison to traditional Monte Carlo simulations. In simulated voltage-clamp protocols, both the probability density and Monte Carlo approaches to modeling local control of excitation-contraction coupling produce high-gain Ca2+ release that is graded with changes in membrane potential, a phenomenon not exhibited by so-called "common pool" models. However, a probability density calculation can be significantly faster than the corresponding Monte Carlo simulation, especially when cellular parameters are such that diadic subspace [Ca2+] is in quasistatic equilibrium with junctional sarcoplasmic reticulum [Ca2+] and, consequently, univariate rather than multivariate probability densities may be employed.
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