Abstract
Excitation-contraction coupling (ECC) in the cardiac myocyte is mediated by a number of highly integrated mechanisms of intracellular Ca2+ transport. Voltage- and Ca2+-dependent L-type Ca2+ channels (LCCs) allow for Ca2+ entry into the myocyte, which then binds to nearby ryanodine receptors (RyRs) and triggers Ca2+ release from the sarcoplasmic reticulum in a process known as Ca2+-induced Ca2+ release. The highly coordinated Ca2+-mediated interaction between LCCs and RyRs is further regulated by the cardiac isoform of the Ca2+/calmodulin-dependent protein kinase (CaMKII). Because CaMKII targets and modulates the function of many ECC proteins, elucidation of its role in ECC and integrative cellular function is challenging and much insight has been gained through the use of detailed computational models. Multiscale models that can both reconstruct the detailed nature of local signaling events within the cardiac dyad and predict their functional consequences at the level of the whole cell have played an important role in advancing our understanding of CaMKII function in ECC. Here, we review experimentally based models of CaMKII function with a focus on LCC and RyR regulation, and the mechanistic insights that have been gained through their application.
Introduction
Cardiac electrophysiology is a discipline with a rich and deep history dating back more than a half-century. Much of our understanding of fundamental biological mechanisms in this field comes from experimental research coupled with integrative mathematical modeling. The goal of this modeling has been to achieve a quantitative understanding of the functional mechanisms and relationships that span from the level of molecular structure and function to integrated cardiac myocyte behavior in health and disease. Advances in computational techniques and hardware have led to the recent development of many sophisticated large-scale models of heart tissue, in which these electrophysiological myocyte models are the fundamental building blocks. Some of the most fundamental advances in computational cell biology, including formulation of dynamic models of voltage-gated ion channels, mitochondrial energy production, membrane transporters, intracellular Ca2+ dynamics, and signal transduction pathways have emerged from this field. One such signaling pathway is that involving the Ca2+/calmodulin (CaM)-dependent protein kinase (CaMKII), which targets and functionally regulates a number of proteins that are central to cardiac excitation-contraction coupling (ECC), and has been identified as a promising new target for antiarrhythmic therapy in patients with heart failure (Rokita and Anderson, 2012). This review focuses on the role of experimentally based models of CaMKII function with a focus on L-type Ca2+ channel (LCC) and ryanodine receptor (RyR) regulation, and the mechanistic insights that have been gained through their application.
The nature of ECC is linked closely to the micro-anatomical structure of the cell. Sarcomeres, the basic units of contractile proteins, are bounded on both ends by the t-tubular system (Soeller and Cannell, 1999; Bers, ). The t-tubules extend deep into the cell and approach the sarcoplasmic reticulum (SR), an intracellular luminal organelle involved in the uptake, sequestration and release of Ca2+. The junctional SR (JSR) is the portion of the SR most closely approximating (within 12–15 nm Franzini-Armstrong et al., ) the t-tubules. The close proximity of these two structures forms a microdomain known as the dyad. RyRs are Ca2+-sensitive Ca2+-release channels which are preferentially located in the dyadic region of the JSR membrane. In addition, LCCs are preferentially located within the dyadic region of the t-tubules, where they are in close opposition to the RyRs. The process by which Ca2+ enters the myocyte during the initial depolarization stages of the action potential (AP) via voltage-gated LCCs and triggers the opening of RyRs, and hence JSR Ca2+ release, is known as Ca2+-induced Ca2+ release (CICR) and comprises the initial transduction event of ECC. Recent imaging studies have demonstrated that dyadic clefts are small, where junctions contain an average of 14 RyRs, with some clusters incompletely filled with RyRs, and with a large fraction of clusters closely spaced within 20–50 nm, suggesting that smaller clusters may act together to function as a single site of CICR (Baddeley et al., ; Hayashi et al., ).
The elucidation of CICR mechanisms became possible with the development of experimental techniques for simultaneous measurement of L-type Ca2+ current (ICaL) and Ca2+ transients, and detection of local Ca2+ release events known as Ca2+ sparks (Cheng et al., ). The evidence for tight regulation of SR Ca2+ release by triggering LCC current (for a review see Soeller and Cannell, 2004) gave rise to and later verified the local control theory of ECC (Stern, 1992). The mechanism of local control predicts that tight regulation of CICR is achieved because LCCs and RyRs are regulated by local dyadic Ca2+. It is now widely accepted that CaMKII, a ubiquitous Ca2+-dependent protein that can become highly activated in the dyad (Currie et al., ; Hudmon et al., ; Maier, 2005), can modulate CICR via phosphorylation of a number of ECC proteins including LCCs and RyRs (Maier and Bers, 2007). CaMKII modulates LCCs via a Ca2+-dependent positive-feedback regulatory mechanism known as ICaL facilitation (Anderson et al., ; Xiao et al., 1994; Yuan and Bers, 1994). This is observed as a positive staircase in current amplitude in combination with a slower rate of ICaL inactivation upon repeated membrane depolarization. Although multiple mechanisms have been suggested to underlie ICaL facilitation, experiments from Dzhura et al. () demonstrated that CaMKII-dependent ICaL facilitation alters the behavior of LCCs such that high activity gating modes with prolonged open times are more likely to occur. The specific functional effects of CaMKII phosphorylation of RyRs remain controversial. CaMKII has been shown to increase (e.g., Wehrens et al., 2004) or decrease (e.g., Lokuta et al., 1995) the channel open probability. Inconsistencies in experimental findings regarding the role of CaMKII on RyR function may not be surprising given the methodological differences between the studies. In addition, the high sensitivity of RyR gating to both cytosolic and SR Ca2+ makes it difficult to interpret experiments in which these Ca2+ concentrations are not tightly controlled. In one well designed study, Guo et al. () developed an experimental protocol that overcame this challenge and provided strong evidence that CaMKII mediated phosphorylation of RyRs increases channel open probability. Such an increase is also consistent with transgenic studies of CaMKII overexpression which report increased Ca2+ spark frequency in response to elevated CaMKII activity (Maier et al., 2003; Kohlhaas et al., 2006).
The CaMKII holoenzyme exists as an elaborate macromolecular complex consisting of two stacked ring-shaped hexamers (Hudmon and Schulman, ). Each of the holoenzyme's 12 subunits can be activated through the binding of Ca2+-bound CaM (Ca2+/CaM) to the CaMKII regulatory domain in response to beat-to-beat transient increases of intracellular Ca2+ concentration. In cardiac myocytes, an activated CaMKII molecule can undergo autophosphorylation by neighboring subunits at threonine amino acid residues in its regulatory domain, which allows the kinase to retain activity even upon dissociation of Ca2+/CaM (Meyer et al., 1992). An alternative mechanism of oxidative CaMKII activation has also been identified (Erickson et al., ). As a result of the fact that CaMKII regulates multiple protein targets (both directly and indirectly involved in ECC), and that the effect of CaMKII mediated phosphorylation on any particular target protein may involve complex alterations in biophysical function (e.g., mode-switching behavior of LCCs), the task of elucidating its role in cardiac function in both normal and failing hearts continues to present great challenges and cannot be accomplished via experiments alone. Some recent advances in understanding the mechanisms of CaMKII-dependent function in cardiac myocytes have been discovered by coupling mathematical models to experimental observations. In this review we will focus on key models of CaMKII-mediated regulation of LCCs and RyRs arising from both Ca2+/CaM-dependent as well as oxidative activation pathways, the integration of such models into whole-cell models, and the mechanistic insights that have been obtained from this work. A summary of the models covered here is provided in Table 1.
Table 1
| Cell model | Species | Parent ECC model | CaMKII activation model | Included CaMKII targets |
|---|---|---|---|---|
| Hund and Rudy, | Dog | Luo and Rudy, 1994 | Hanson et al., | LCCs, RyRs, SERCA/PLB |
| Iribe et al., | Guinea pig | Noble et al., 1991 | Conceptual kinetic model | LCCs, RyRs, SERCA |
| Livshitz and Rudy, 2007 | Guinea pig/Dog | Luo and Rudy, 1994; Hund and Rudy, | Hanson et al., | LCCs, RyRs, SERCA/PLB |
| Grandi et al., | Rabbit | Shannon et al., 2004 | Static formulation | ICaL, INa, Ito |
| Target parameters adjusted | ||||
| Saucerman and Bers, 2008 | Rabbit | Shannon et al., 2004 | Adapted from Dupont et al. (), Gaertner et al. () | no target |
| Hund et al., | Dog | Hund and Rudy, | Hanson et al., | LCCs, RyRs, SERCA/PLB, INa |
| Koivumaki et al., 2009 | Mouse | Bondarenko et al., | Bhalla and Iyengar, | LCCs, RyRs, SERCA/PLB |
| Hashambhoy et al., | Dog | Greenstein and Winslow, | Dupont et al., | LCCs |
| Christensen et al., | Dog | Hund et al., | Hanson et al., | LCCs, RyRs, SERCA/PLB, INa |
| Soltis and Saucerman, 2010 | Rabbit | Saucerman and Bers, 2008 | Dupont et al., ; Gaertner et al., | LCCs, RyRs, PLB, INa, Ito |
| Hashambhoy et al., | Dog | Hashambhoy et al., | Dupont et al., | LCCs, RyRs, PLB |
| O'hara et al., 2011 | Human | Hund and Rudy, ; Decker et al., | Hund and Rudy, | LCCs, PLB, INa, Ito |
| Hashambhoy et al., | Dog | Hashambhoy et al., | Dupont et al., | LCCs, RyRs, PLB, INa |
| Zang et al., 2013 | Dog | Hund and Rudy, | Hanson et al., | LCCs, RyRs, INa, Ito, IK1, SERCA |
| Morotti et al., 2014 | Mouse | Soltis and Saucerman, 2010 | Dupont et al., ; Gaertner et al., | LCCs, RyRs, PLB, INa, Ito, IK1, INCX |
Key features of CaMKII models in cardiac ECC.
Models of Ca2+/CaM-dependent CaMKII activation and regulation
The first model of CaMKII signaling within the context of ECC integrated into the cardiac myocyte was presented by Hund and Rudy (). This model, known as the HRd model, incorporates a scheme based on the work of Hanson et al. (), where a single population of CaMKII transitions from an inactive to active state in response to elevated subspace Ca2+ levels. CaMKII activity is assumed to modify the function of LCCs and RyRs by slowing their inactivation kinetics, thereby enhancing ICaL and JSR Ca2+ release, respectively. SR Ca2+ uptake was also enhanced by CaMKII activity via its action on phospholamban (PLB) and the SR Ca2+-ATPase (SERCA). The model predicted that CaMKII plays a critical role in the rate-dependent increase of the cytosolic Ca2+ transient by increasing ECC gain, but that it does not play a significant role in rate-dependent changes of AP duration. Similar results were obtained in the human cardiac AP model of O'hara et al. (2011), which incorporates the role of CaMKII phosphorylation on LCCs, the fast Na+ current (INa), and the transient outward K+ current (Ito1). The HRd model was later updated and used to investigate the role of altered CaMKII signaling in the canine infarct border zone (Hund et al., ). Experimentally measured elevation of CaMKII autophosphorylation in this region is reproduced by the model, which indicates that hyperactive CaMKII impairs Ca2+ homeostasis by increasing Ca2+ leak from the SR. A number of additional modeling studies have focused on the role of CaMKII on various aspects of intracellular Ca2+ dynamics. Iribe et al. () incorporated a conceptual CaMKII model into their previous myocyte model (Noble et al., 1991) combined with a model of mechanics (Rice et al., 1999) in order to investigate its role on SR Ca2+ handling and interval-force relations. They found that a relatively slow time-dependent inactivation of CaMKII allowed for the reconstruction of a variety of interval-force relations, including alternans. Koivumaki et al. (2009) built a model of the murine cardiac myocyte to analyze genetically engineered heart models in which CaMKII-mediated phosphorylation of LCCs is disrupted or CaMKII is overexpressed. They demonstrated how these genetic manipulations lead to the observed experimental phenotypes as a result of autoregulatory mechanisms that are inherent in intracellular Ca2+ cycling (e.g., steady-state regulation of SR content via Ca2+ release dependent inactivation of LCCs), and that disruption of the regulatory system itself (e.g., via CaMKII overexpression) leads to the most aberrant physiological phenotypes. Livshitz and Rudy (2007) formulated a new model of SR Ca2+ release kinetics and incorporated it into the HRd model in order to better understand regulation of Ca2+ and electrical alternans under various pacing protocols. They found that increased CaMKII activity leads to increased alternans magnitude as well as the appearance of both Ca2+ and electrical alternans at lower pacing rates (where they would not normally occur). This model identifies Ca2+ alternans as the underlying mechanism for electrical alternans, both of which were eliminated with CaMKII inhibition, suggesting this as an antiarrhythmic strategy. Zang et al. (2013) recently developed a new canine myocyte model, also based on the HRd model, to study the role of upregulated CaMKII in heart failure. Similarly, they find that enhanced RyR Ca2+-sensitivity and SR Ca2+ leak mediated by CaMKII overexpression alters Ca2+ handling in a manner that promotes alternans, while AP prolongation occurs primarily due to an associated down regulation of K+ currents. Interestingly, they find that blocking SR Ca2+ leak restores contraction and relaxation function, but does not eliminate alternans completely.
Grandi et al. () developed a model of CaMKII overexpression in the rabbit ventricular myocyte, which incorporates the functional effects of CaMKII-mediated phosphorylation of LCCs, as well as INa and Ito1. This model shows that while CaMKII-mediated action on LCCs prolongs the AP, the combined effect of CaMKII on all three of the targets studied leads to AP shortening. While this study was primarily motivated by and focused on the functional role of CaMKII-mediated regulation of INa (see accompanying article in this series by Grandi and Herren), it clearly demonstrates that the multiple targets of CaMKII interact to produce net alterations of integrated cellular function which are difficult to predict from knowledge if its functional effects on isolated individual targets. Saucerman and Bers (2008) developed and incorporated models of CaM, CaMKII, and calcineurin (CaN) into the rabbit ventricular myocyte model of Shannon et al. (2004) in order to better understand the functional consequences of the different affinities of CaM for CaMKII and CaN during APs. The model predicts that the relatively high Ca2+ levels that are achieved in the cardiac dyad lead to a high degree of CaM activity which results in frequency-dependent CaMKII activation and constitutive CaN activation, whereas the lower Ca2+ levels in the cytosol only minimally activate CaM, which allows for gradual CaN activation, but no significant activation of CaMKII. The prediction that robust beat-to-beat oscillations of CaMKII activity occur in the dyad (i.e. in the vicinity of RyRs and LCCs) but not in the cytosol is a key factor that would influence the way in which local signaling mechanisms would be incorporated into models that followed that included detailed reconstruction of dyadic Ca2+ dynamics. In one such model, Soltis and Saucerman (2010) integrated dynamic CaMKII-dependent regulation of LCCs, RyRs, and PLB with models of cardiac ECC, CaMKII activation, and β-adrenergic activation of protein kinase A (PKA). In this model phosphorylation of all CaMKII substrates exhibits positive frequency dependence similar to that observed in experiments (De Koninck and Schulman, ). However, both CaMKII activity and target protein phosphorylation levels adapt to changes in pacing rate with distinct kinetics (see Figure 2 of Soltis and Saucerman, 2010). CaMKII-mediated phosphorylation is relatively fast at LCCs, slower at RyRs, and very slow at PLB. Additionally, the model predicts a high degree of phosphorylation of LCCs in control conditions, but a moderate amount of phosphorylation of RyRs and PLB (e.g., PLB phosphorylation <10% at all frequencies). In addition, this study predicts a novel mechanism in which CaMKII and PKA synergize to form a positive feedback loop of CaMKII-Ca2+-CaMKII regeneration. Furthermore, this model predicts that CaMKII-mediated hyperphosphorylation of RyRs, which renders them leaky, may be a proarrhythmic trigger via induction of delayed afterdepolarizations (DADs). Recently, Morotti et al. (2014) modified the Soltis and Saucerman (2010) rabbit model to further investigate the arrhythmogenic role of another synergistic interaction in mouse ventricular myocytes. This synergism is that of the positive feedback loop of CaMKII-Na+-Ca2+-CaMKII in which CaMKII-dependent increases in intracellular Na+ level perturbs Ca2+ homeostasis and CaMKII activation. Simulation results from Morotti et al. (2014) demonstrate that the feedback between disrupted Na+ fluxes and CaMKII signaling is exaggerated when CaMKII is overexpressed. Under this condition, and upon an increase in intracellular Na+ concentration, the model predicts Ca2+ overload and enhancement of CaMKII activity which in turn increases spontaneous Ca2+ release events via an increase in RyR phosphorylation. This CaMKII-dependent hyperphosphorylation of RyRs exacerbates the associated electrophysiological instability as simulated by the occurrence of DADs (see Figure 7 of Morotti et al., 2014). In this model, the DADs do not occur when CaMKII target phosphorylation is clamped to basal levels.
Recently, Hashambhoy et al. () developed a biochemically and biophysically detailed model of CaMKII-mediated phosphorylation of LCCs. The model includes descriptions of the dynamic interactions among CaMKII, LCCs, and phosphatases as a function of dyadic Ca2+ and CaM levels, and has been incorporated into an integrative model of the canine ventricular myocyte with stochastic simulation of LCC and RyR channel gating within a population of release sites based on the theory of local control of ECC (Greenstein and Winslow, ). A schematic representation of one such model Ca2+-release site is shown in Figure 1A. This CaMKII-LCC model is formed by the integration of three modules: a CaMKII activity model which reflects the different structural and functional states of the kinase based on the work of Hudmon and Schulman () and Dupont et al. (), an LCC phosphorylation model derived from studies of facilitation in LCC mutants (Grueter et al., ; Lee et al., 2006), and a previously developed LCC gating model (Jafri et al., ; Greenstein and Winslow, ). In this model it is assumed that there is one 12-subunit CaMKII holoenzyme tethered to each LCC (Hudmon et al., ), each CaMKII monomer can transition among a variety of activity states (see Figure 2 of Hashambhoy et al., ), and CaMKII monomers can catalyze phosphorylation of individual LCCs. The LCC gating model reflects two forms of channel gating, mode 1 (normal activity) and mode 2 (high activity with long openings). In the model, LCC phosphorylation promotes transitions of LCCs from mode 1 to mode 2 gating, based on experimental observations with constitutively active CaMKII (Dzhura et al., ). This model demonstrates that these CaMKII-dependent shifts of LCC gating patterns into high activity gating modes may be the underlying mechanism of ICaL facilitation. In addition, the model predicts that this CaMKII-mediated shift in LCC gating leads to an apparent increase in the speed of both ICaL inactivation and recovery from inactivation, both of which are experimentally associated with ICaL facilitation, with no change to the underlying intrinsic LCC inactivation kinetics. Hashambhoy et al. () further expanded this model to include CaMKII-dependent regulation of RyRs. In this model update, RyR phosphorylation is modeled as a function of dyadic CaMKII activity and it is assumed that RyR sensitivity to dyadic Ca2+ is increased upon phosphorylation, the degree to which is constrained by experimental measurements of Ca2+ spark frequency and steady state RyR phosphorylation (Guo et al., ). This study demonstrated that under physiological conditions, CaMKII phosphorylation of LCCs ultimately has a greater effect on ECC gain, RyR leak flux, and AP duration as compared with phosphorylation of RyRs (Figure 1B). AP duration at 90% repolarization (APD90) correlates well with a CaMKII-mediated shift in modal gating of LCCs (Figure 1C). A modest additional increase in LCC phosphorylation, and hence mode 2 gating, beyond that shown in Figure 1C leads to the appearance of early afterdepolarizations (EADs) in simulated APs (see Figure 5 of Hashambhoy et al., ). The results of these model analyses suggest that LCC phosphorylation sites may in fact prove to be a more effective target than those on the RyR for modulating diastolic RyR-mediated Ca2+ leak and preventing abnormal proarrhythmic cellular depolarization.
Figure 1
Models of oxidative CaMKII activation and regulation
The modeling studies described above focus on the role of CaMKII-mediated regulation of its targets via the classical Ca2+/CaM-dependent activation pathway which involves CaMKII autophosphorylation. Recently a novel mechanism for oxidative CaMKII activation was discovered in the heart (Erickson et al.,
In one recent study, Christensen et al. (
Along these lines, Foteinou et al. (
Figure 2

(A) State diagram of the stochastic CaMKII activation model of Foteinou et al. (
As these ROS-mediated effects need to be further examined, future studies will focus on establishing quantitative links between cellular ROS and redox balance, CaMKII activity and function, ECC, and whole-cell electrophysiology. Recently, Gauthier et al. (
Conclusion
Integrative modeling of cardiac ECC, cell signaling, and myocyte physiology has played a critical role in revealing mechanistic insights across a range of biological scales. With respect to CaMKII function at the smallest scale, models have shed light on how Ca2+ ions, CaM, CaMKII, LCCs, and RyRs interact in the cardiac dyadic junction both at rest and during triggered ECC events. On an intermediate scale, models have predicted the consequences of normal and abnormal CaMKII signaling on whole-cell Ca2+ cycling, effects of ROS imbalance, AP shape, and the generation of cellular arrhythmias such as EADs. Incorporation of these cellular models into higher scale tissue simulations has provided important insight into the relationship between CaMKII function, electrical wave conduction velocity, and the emergence of arrhythmogenic substrates in diseased tissue. The continuum of biological scales spanned by these models allows for the development of multiscale approaches whereby we can predict and understand the emergence of macroscale phenotypes as a consequence of CaMKII-mediated molecular signaling events. A great deal of evidence now implicates CaMKII as a nexus point linking heart failure and arrhythmias (Swaminathan et al., 2012), identifying it as a prime target for antiarrhythmic therapies (Fischer et al.,
Conflict of interest statement
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Statements
Acknowledgments
Supported by National Institutes of Health grants HL087345, HL105239, and HL105216.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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Summary
Keywords
cardiac myocyte, excitation-contraction coupling, cell signaling, CaMKII, computational modeling
Citation
Greenstein JL, Foteinou PT, Hashambhoy-Ramsay YL and Winslow RL (2014) Modeling CaMKII-mediated regulation of L-type Ca2+ channels and ryanodine receptors in the heart. Front. Pharmacol. 5:60. doi: 10.3389/fphar.2014.00060
Received
31 January 2014
Accepted
18 March 2014
Published
03 April 2014
Volume
5 - 2014
Edited by
Eleonora Grandi, University of California Davis, USA
Reviewed by
Henggui Zhang, The University of Manchester, UK; Stefano Morotti, University of California Davis, USA
Copyright
© 2014 Greenstein, Foteinou, Hashambhoy-Ramsay and Winslow.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Joseph L. Greenstein, Institute for Computational Medicine, Johns Hopkins University, 3400 N Charles Street, Hackerman Hall, Baltimore, MD 21218, USA e-mail: jgreenst@jhu.edu
†Present address: Yasmin L. Hashambhoy-Ramsay, Merrimack Pharmaceuticals, Cambridge, USA
This article was submitted to Pharmacology of Ion Channels and Channelopathies, a section of the journal Frontiers in Pharmacology.
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