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      In silico simulations reveal that RYR distribution affects the dynamics of calcium release in cardiac myocytes

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          Abstract

          Iaparov et al. use in silico modeling to test the effect of changes in the geometric arrangement of RYR channels on calcium release in cardiac myocytes. Their simulations predict a coupling between RYR distribution at the calcium release site and dyad function.

          Abstract

          The dyads of cardiac myocytes contain ryanodine receptors (RYRs) that generate calcium sparks upon activation. To test how geometric factors of RYR distribution contribute to the formation of calcium sparks, which cannot be addressed experimentally, we performed in silico simulations on a large set of models of calcium release sites (CRSs). Our models covered the observed range of RYR number, density, and spatial arrangement. The calcium release function of CRSs was modeled by RYR openings, with an open probability dependent on concentrations of free Ca 2+ and Mg 2+ ions, in a rapidly buffered system, with a constant open RYR calcium current. We found that simulations of spontaneous sparks by repeatedly opening one of the RYRs in a CRS produced three different types of calcium release events (CREs) in any of the models. Transformation of simulated CREs into fluorescence signals yielded calcium sparks with characteristics close to the observed ones. CRE occurrence varied broadly with the spatial distribution of RYRs in the CRS but did not consistently correlate with RYR number, surface density, or calcium current. However, it correlated with RYR coupling strength, defined as the weighted product of RYR vicinity and calcium current, so that CRE characteristics of all models followed the same state-response function. This finding revealed the synergy between structure and function of CRSs in shaping dyad function. Lastly, rearrangements of RYRs simulating hypothetical experiments on splitting and compaction of a dyad revealed an increased propensity to generate spontaneous sparks and an overall increase in calcium release in smaller and more compact dyads, thus underlying the importance and physiological role of RYR arrangement in cardiac myocytes.

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          Exact stochastic simulation of coupled chemical reactions

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            Calcium and Excitation-Contraction Coupling in the Heart

            Cardiac contractility is regulated by changes in intracellular Ca concentration ([Ca2+]i). Normal function requires that [Ca2+]i be sufficiently high in systole and low in diastole. Much of the Ca needed for contraction comes from the sarcoplasmic reticulum and is released by the process of calcium-induced calcium release. The factors that regulate and fine-tune the initiation and termination of release are reviewed. The precise control of intracellular Ca cycling depends on the relationships between the various channels and pumps that are involved. We consider 2 aspects: (1) structural coupling: the transporters are organized within the dyad, linking the transverse tubule and sarcoplasmic reticulum and ensuring close proximity of Ca entry to sites of release. (2) Functional coupling: where the fluxes across all membranes must be balanced such that, in the steady state, Ca influx equals Ca efflux on every beat. The remainder of the review considers specific aspects of Ca signaling, including the role of Ca buffers, mitochondria, Ca leak, and regulation of diastolic [Ca2+]i.
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              Linearized buffered Ca2+ diffusion in microdomains and its implications for calculation of [Ca2+] at the mouth of a calcium channel.

              Immobile and mobile calcium buffers shape the calcium signal close to a channel by reducing and localizing the transient calcium increase to physiological compartments. In this paper, we focus on the impact of mobile buffers in shaping steady-state calcium gradients in the vicinity of an open channel, i.e. within its "calcium microdomain." We present a linear approximation of the combined reaction-diffusion problem, which can be solved explicitly and accounts for an arbitrary number of calcium buffers, either endogenous or added exogenously. It is valid for small saturation levels of the present buffers and shows that within a few hundred nanometers from the channel, standing calcium gradients develop in hundreds of microseconds after channel opening. It is shown that every buffer can be assigned a uniquely defined length-constant as a measure of its capability to buffer calcium close to the channel. The length-constant clarifies intuitively the significance of buffer binding and unbinding kinetics for understanding local calcium signals. Hence, we examine the parameters shaping these steady-state gradients. The model can be used to check the expected influence of single channel calcium microdomains on physiological processes such as excitation-secretion coupling or excitation-contraction coupling and to explore the differential effect of kinetic buffer parameters on the shape of these microdomains.
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                Author and article information

                Journal
                J Gen Physiol
                J Gen Physiol
                jgp
                The Journal of General Physiology
                Rockefeller University Press
                0022-1295
                1540-7748
                05 April 2021
                18 March 2021
                : 153
                : 4
                : e202012685
                Affiliations
                [1 ]Department of Cellular Cardiology, Institute of Experimental Endocrinology, Biomedical Research Center, Slovak Academy of Sciences, Bratislava, Slovakia
                [2 ]Research Institute of Physics and Applied Mathematics, and Department of Theoretical and Mathematical Physics, Ural Federal University, Ekaterinburg, Russia
                Author notes
                Correspondence to Alexandra Zahradníková: alexandra.zahradnikova@ 123456savba.sk

                A preliminary version of this paper was posted as a preprint in bioRxiv on August 27, 2020.

                Author information
                https://orcid.org/0000-0002-3398-2093
                https://orcid.org/0000-0001-5125-9467
                https://orcid.org/0000-0001-5442-654X
                https://orcid.org/0000-0002-7296-9617
                Article
                jgp.202012685
                10.1085/jgp.202012685
                7980188
                33735373
                f5d6c08c-f9ac-4f65-96e2-274983a166ae
                © 2021 Iaparov et al.

                This article is distributed under the terms of an Attribution–Noncommercial–Share Alike–No Mirror Sites license for the first six months after the publication date (see http://www.rupress.org/terms/). After six months it is available under a Creative Commons License (Attribution–Noncommercial–Share Alike 4.0 International license, as described at https://creativecommons.org/licenses/by-nc-sa/4.0/).

                History
                : 20 June 2020
                : 08 February 2021
                Page count
                Pages: 20
                Funding
                Funded by: Russian Foundation for Basic Research, DOI http://dx.doi.org/10.13039/501100002261;
                Award ID: 18-31-00153
                Funded by: Government of the Russian Federation;
                Award ID: 02.A03.21.0006
                Funded by: Ministry of Science and Higher Education of the Russian Federation, DOI http://dx.doi.org/10.13039/501100012190;
                Award ID: FEUZ-2020-0054
                Funded by: Slovak Research and Development Agency, DOI http://dx.doi.org/10.13039/501100005357;
                Award ID: APVV-15-0302
                Funded by: SAV-TUBITAK;
                Award ID: JRP/2019/836/RyRinHeart
                Funded by: Operational Program Integrated Infrastructure;
                Award ID: IMTS: 313011V344
                Funded by: European Regional Development Fund, DOI http://dx.doi.org/10.13039/501100008530;
                Categories
                Article
                Cellular Physiology
                Biophysics
                Molecular Physiology

                Anatomy & Physiology
                Anatomy & Physiology

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