Endothelial Piezo1: Life depends on it

Ryanodine receptors (RyRs), located in the sarcoplasmic/endoplasmic reticulum (SR/ER) membrane, are required for intracellular Ca²⁺ release that is involved in a wide range of cellular functions. In addition to Ca²⁺-induced Ca²⁺ release in cardiac cells and voltage-induced Ca²⁺ release in skeletal muscle cells, we recently identified another mode of intracellular Ca²⁺ mobilization mediated by RyR, i.e., nitric oxide-induced Ca²⁺ release (NICR), in cerebellar Purkinje cells. NICR is evoked by neuronal activity, is dependent on S-nitrosylation of type 1 RyR (RyR1) and is involved in the induction of long-term potentiation (LTP) of cerebellar synapses. In this addendum, we examined whether peroxynitrite, which is produced by the reaction of nitric oxide with superoxide, may also have an effect on the Ca²⁺ release via RyR1 and the cerebellar LTP. We found that scavengers of peroxynitrite have no significant effect either on the Ca²⁺ release via RyR1 or on the cerebellar LTP. We also found that an application of a high concentration of peroxynitrite does not reproduce neuronal activity-dependent Ca²⁺ release in Purkinje cells. These results support that NICR is induced by endogenous nitric oxide produced by neuronal activity through S-nitrosylation of RyR1.     

Rapid action of estradiol in primate GnRH neurons: the role of estrogen receptor alpha and estrogen receptor beta

Estrogens play a pivotal role in the control of female reproductive function. Recent studies using primate GnRH neurons derived from embryonic nasal placode indicate that 17β-estradiol (E₂) causes a rapid stimulatory action. E₂ (1 nM) stimulates firing activity and intracellular calcium ([Ca²⁺]_i) oscillations of primate GnRH neurons within a few min. E₂ also stimulates GnRH release within 10 min. However, the classical estrogen receptors, ERα and ERβ, do not appear to play a role in E₂-induced [Ca²⁺]_i oscillations or GnRH release, as the estrogen receptor antagonist, ICI 182,780, failed to block these responses. Rather, this rapid E₂ action is, at least in part, mediated by a G-protein coupled receptor GPR30. In the present study we further investigate the role of ERα and ERβ in the rapid action of E₂ by knocking down cellular ERα and ERβ by transfection of GnRH neurons with specific siRNA for rhesus monkey ERα and ERβ. Results indicate that cellular knockdown of ERα and ERβ failed to block the E₂-induced changes in [Ca²⁺]_i oscillations. It is concluded that neither ERα nor ERβ is required for the rapid action of E₂ in primate GnRH neurons.     

A novel ryanodine receptor expressed in pancreatic islets by alternative splicing from type 2 ryanodine receptor gene

Cyclic ADP-ribose (cADPR), a potent Ca²⁺ mobilizing intracellular messenger synthesized by CD38, regulates the opening of ryanodine receptors (RyRs). Increases in intracellular Ca²⁺ concentrations in pancreatic islets, resulting from Ca²⁺ mobilization from RyRs as well as Ca²⁺ influx from extracellular sources, are important in insulin secretion by glucose. In the present study, by screening a rat islet cDNA library, we isolated a novel RyR cDNA (the islet-type RyR), which is generated from the RyR2 gene by alternative splicing of exons 4 and 75. When the expression vectors for the islet-type and the authentic RyRs were transfected into HEK293 cells, the islet-type RyR2 as well as the authentic one showed high affinity [³H]ryanodine binding. Intracellular Ca²⁺ release in the islet-type RyR2-transfected cells was enhanced in the presence of cADPR but not in the authentic RyR2-transfected cells. The islet-type RyR2 mRNA was expressed in a variety of tissues such as in pancreatic islets, cerebrum, and cerebellum, whereas the authentic RyR2 mRNA was predominantly expressed in heart and aorta. These results suggest that the islet-type RyR2 may be an intracellular target for cADPR signaling.     

The insecticide chlorantraniliprole is a weak activator of mammalian skeletal ryanodine receptor/Ca2+ release channel

Chlorantraniliprobe (Chlo), a potent insecticide, demolishes intracellular Ca²⁺ homeostasis of insects by inducing uncontrolled Ca²⁺ release through ryanodine receptors (RyRs). Chlo is lethal to insects but has low toxicity to mammals. In this study, we investigated the effects of Chlo on RyR1 from mammalian skeletal muscle. Ca²⁺ release assay indicated that Chlo at high concentrations promoted Ca²⁺ release from sarcoplasmic reticulum through RyR1 channels. Single channel recording of purified RyR1 showed that Chlo activated RyR1 channel, increased channel open probability P_o, reduced channel mean close time T_c, but did not change the channel mean open time T_o, suggesting that Chlo destabilized the closed RyR1 channel, rendered the channel easy to open. The dissociation constant K_d values of Chlo for RyR1 were of micromolar level, approximately 100-fold larger than that for insect RyR. The K_d values were smaller for open states than for closed/blocked states of the RyR1 channel. The maximal binding capacity B_max did not change in the presence of either channel activators or inhibitors/blockers. Our results demonstrate that the insecticide Chlo is a weak activator of mammalian RyR1. It can interact with mammalian RyR1 and activate RyR1 channel but with much lower affinity compared with insect RyR; Chlo has a binding site distinct from all known RyR channel modulators and represents a novel type of RyR channel modulator. Our data provide biochemical and pharmacological insights into its high specificity to insect RyR and high selectivity of poisoning to insects over mammals.     

Recruiting RyRs to Open in a Ca2+ Release Unit: Single-RyR Gating Properties Make RyR Group Dynamics

In cardiac myocytes, clusters of type-2 ryanodine receptors (RyR2s) release Ca²⁺ from the sarcoplasmic reticulum (SR) via a positive feedback mechanism in which fluxed Ca²⁺ activates nearby RyRs. Although the general principles of this are understood, less is known about how single-RyR gating properties define the RyR group dynamics in an array of many channels. Here, we examine this using simulations with three models of RyR gating that have identical open probabilities: the commonly used two-state Markov gating model, one that utilizes multiple exponentials to fit single-channel open time (OT) and closed time (CT) distributions, and an extension of this multiexponential model that also includes experimentally measured correlations between single-channel OTs and CTs. The simulations of RyR clusters that utilize the multiexponential gating model produce infrequent Ca²⁺ release events with relatively few open RyRs. Ca²⁺ release events become even smaller when OT/CT correlations are included. This occurs because the correlations produce a small but consistent bias against recruiting more RyRs to open during the middle of a Ca²⁺ release event, between the initiation and termination phases (which are unaltered compared to the uncorrelated simulations). In comparison, the two-state model produces frequent, large, and long Ca²⁺ release events because it had a recruitment bias in favor of opening more RyRs. This difference stems from the two-state model’s single-RyR OT and CT distributions being qualitatively different from the experimental ones. Thus, the details of single-RyR gating can profoundly affect SR Ca²⁺ release even if open probability and mean OTs and CTs are identical. We also show that Ca²⁺ release events can terminate spontaneously without any reduction in SR [Ca²⁺], luminal regulation, Ca²⁺-dependent inactivation, or physical coupling between RyRs when Ca²⁺ flux is below a threshold value. This supports and extends the pernicious attrition/induction decay hypothesis that SR Ca²⁺ release events terminate below a threshold Ca²⁺ flux.     

Dynamic Interreceptor Coupling Contributes to the Consistent Open Duration of Ryanodine Receptors

Ca²⁺ spark is the elementary Ca²⁺ signaling event in muscle excitation-contraction coupling. The rise time of Ca²⁺ spark is rather stable under different conditions, suggesting consistent open duration of ryanodine receptors (RyRs) in vivo. It has been proposed that the array-based behavior of RyRs plays an important role in shaping Ca²⁺ spark dynamics, particularly in controlling the open duration of RyR clusters. Therefore, we investigated the possible role of inter-RyR coupling in stabilization of the open time of arrayed RyRs under several potential perturbations, for instance, array size, inter-RyR coupling noise, and up-regulation or down-regulation of the activity of partial RyRs in the array. We found that RyR arrays with dynamic coupling showed consistent open duration against the perturbations, whereas the RyR array with constant coupling did not. On the other hand, the open probability and amplitude of RyR arrays with dynamic interreceptor coupling were sensitive to the perturbations. These two points were consistent with experimental observations, indicating that the RyR array with dynamic coupling could recapitulate in vivo open properties of RyRs. Our findings support the idea that dynamic coupling is a feasible in vivo working mechanism of RyR arrays.     

Ryanodine receptor allosteric coupling and the dynamics of calcium sparks

Puffs and sparks are localized intracellular Ca²⁺ elevations that arise from the cooperative activity of Ca²⁺-regulated inositol 1,4,5-trisphosphate receptors and ryanodine receptors clustered at Ca²⁺ release sites on the surface of the endoplasmic reticulum or the sarcoplasmic reticulum. While the synchronous gating of Ca²⁺-regulated Ca²⁺ channels can be mediated entirely though the buffered diffusion of intracellular Ca²⁺, interprotein allosteric interactions also contribute to the dynamics of ryanodine receptor (RyR) gating and Ca²⁺ sparks. In this article, Markov chain models of Ca²⁺ release sites are used to investigate how the statistics of Ca²⁺ spark generation and termination are related to the coupling of RyRs via local [Ca²⁺] changes and allosteric interactions. Allosteric interactions are included in a manner that promotes the synchronous gating of channels by stabilizing neighboring closed-closed and/or open-open channel pairs. When the strength of Ca²⁺-mediated channel coupling is systematically varied (e.g., by changing the Ca²⁺ buffer concentration), simulations that include synchronizing allosteric interactions often exhibit more robust Ca²⁺ sparks; however, for some Ca²⁺ coupling strengths the sparks are less robust. We find no evidence that the distribution of spark durations can be used to distinguish between allosteric interactions that stabilize closed channel pairs, open channel pairs, or both in a balanced fashion. On the other hand, the changes in spark duration, interspark interval, and frequency observed when allosteric interactions that stabilize closed channel pairs are gradually removed from simulations are qualitatively different than the changes observed when open or both closed and open channel pairs are stabilized. Thus, our simulations clarify how changes in spark statistics due to pharmacological washout of the accessory proteins mediating allosteric coupling may indicate the type of synchronizing allosteric interactions exhibited by physically coupled RyRs. We also investigate the validity of a mean-field reduction applicable to the dynamics of a ryanodine receptor cluster coupled via local [Ca²⁺] and allosteric interactions. In addition to facilitating parameter studies of the effect of allosteric coupling on spark statistics, the derivation of the mean-field model establishes the correct functional form for cooperativity factors representing the coupled gating of RyRs. This mean-field formulation is well suited for use in computationally efficient whole cell simulations of excitation-contraction coupling.     

Ryanodine receptor studies using genetically engineered mice

Ryanodine receptors (RyR) regulate intracellular Ca²⁺ release in many cell types and have been implicated in a number of inherited human diseases. Over the past 15 years genetically engineered mouse models have been developed to elucidate the role that RyRs play in physiology and pathophysiology. To date these models have implicated RyRs in fundamental biological processes including excitation-contraction coupling and long term plasticity as well as diseases including malignant hyperthermia, cardiac arrhythmias, heart failure, and seizures. In this review we summarize the RyR mouse models and how they have enhanced our understanding of the RyR channels and their roles in cellular physiology and disease.     

Regulation of the RyR channel gating by Ca<Superscript>2+</Superscript> and Mg<Superscript>2+</Superscript>

Ryanodine receptors (RyRs) are the Ca²⁺ release channels in the sarcoplasmic reticulum in striated muscle which play an important role in excitation-contraction coupling and cardiac pacemaking. Single channel recordings have revealed a wealth of information about ligand regulation of RyRs from mammalian skeletal and cardiac muscle (RyR1 and RyR2, respectively). RyR subunit has a Ca²⁺ activation site located in the luminal and cytoplasmic domains of the RyR. These sites synergistically feed into a common gating mechanism for channel activation by luminal and cytoplasmic Ca²⁺. RyRs also possess two inhibitory sites in their cytoplasmic domains with Ca²⁺ affinities of the order of 1 μM and 1 mM. Magnesium competes with Ca²⁺ at these sites to inhibit RyRs and this plays an important role in modulating their Ca²⁺-dependent activity in muscle. This review focuses on how these sites lead to RyR modulation by Ca²⁺ and Mg²⁺ and how these mechanisms control Ca²⁺ release in excitation-contraction coupling and cardiac pacemaking.     

Ryanodine receptor 1 mediates Ca2+ transport and influences the biomechanical properties in RBCs

Ryanodine receptors (RyRs) are a family of Ca²⁺ channel proteins that mediate the massive release of Ca²⁺ from the endoplasmic reticulum into the cytoplasma. In the present study, we manipulated the incorporation of RyR1 into RBC membrane and investigated its influences on the intracellular Ca²⁺ ([Ca²⁺]_in) level and the biomechanical properties in RBCs. The incorporation of RyR1 into RBC membranes was demonstrated by both immunofluorescent staining and the change of [Ca²⁺]_in of RBCs. In the presence of RyR1, [Ca²⁺]_in showed biphasic changes, i.e., it increased with the extracellular Ca²⁺ ([Ca²⁺]_ex) up to 5 μM and then decreased with the further increase of [Ca²⁺]_ex. However, [Ca²⁺]_in remained constant in the absence of the RyR1. The results of biomechanical measurements on RBCs, including deformability, osmotic fragility, and membrane microviscosity, reflected similar biphasic changes of [Ca²⁺]_in mediated by RyR1 with the increases of [Ca²⁺]_ex. Therefore, it is believed that RyR1 can incorporate into RBC membrane in vitro, and mediate Ca²⁺ influx, and then regulate RBC biomechanical properties. This information suggests that RBCs may serve as a model to study the function of RyR1 as a Ca²⁺ release channel.     

Nanoscale organization of ryanodine receptor distribution and phosphorylation pattern determines the dynamics of calcium sparks

Super-resolution imaging techniques have provided a better understanding of the relationship between the nanoscale organization and function of ryanodine receptors (RyRs) in cardiomyocytes. Recent data have indicated that this relationship is disrupted in heart failure (HF), as RyRs are dispersed into smaller and more numerous clusters. However, RyRs are also hyperphosphorylated in this condition, and this is reported to occur preferentially within the cluster centre. Thus, the combined impact of RyR relocalization and sensitization on Ca²⁺ spark generation in failing cardiomyocytes is likely complex and these observations suggest that both the nanoscale organization of RyRs and the pattern of phosphorylated RyRs within clusters could be critical determinants of Ca²⁺ spark dynamics. To test this hypothesis, we used computational modeling to quantify the relationships between RyR cluster geometry, phosphorylation patterns, and sarcoplasmic reticulum (SR) Ca²⁺ release. We found that RyR cluster disruption results in a decrease in spark fidelity and longer sparks with a lower amplitude. Phosphorylation of some RyRs within the cluster can play a compensatory role, recovering healthy spark dynamics. Interestingly, our model predicts that such compensation is critically dependent on the phosphorylation pattern, as phosphorylation localized within the cluster center resulted in longer Ca²⁺ sparks and higher spark fidelity compared to a uniformly distributed phosphorylation pattern. Our results strongly suggest that both the phosphorylation pattern and nanoscale RyR reorganization are critical determinants of Ca²⁺ dynamics in HF.     

All three ryanodine receptor isoforms generate rapid cooling responses in muscle cells

The rapid cooling (RC) response in muscle is an increase in cytoplasmic Ca²⁺ concentration ([Ca²⁺]_i) that is probably caused by Ca²⁺ release from the sarcoplasmic reticulum (SR). However, the molecular bases of this response have not been completely elucidated. Three different isoforms of the SR Ca²⁺ release channels, or ryanodine receptors (RyRs), have been isolated (RyR1, RyR2, and RyR3). In the current investigation, the RC response was studied in RyR-null muscle cells (1B5) before and after transduction with HSV-1 virions containing the cDNAs encoding for RyR1, RyR2, or RyR3. Cells were loaded with fluo 4-AM to monitor changes in [Ca²⁺]_i and perfused with either cold (0°C), room temperature (RT), or RT buffer containing 40 mM caffeine. Control cells showed no significant response to cold or caffeine, whereas robust Ca²⁺ transients were recorded in response to both RC and caffeine in transduced cells expressing any one of the three RyR isoforms. Our data demonstrate directly that RyRs are responsible for the RC response and that all three isoforms respond in a similar manner. Ca²⁺ release from RyRs is likely caused by a RC-induced conformational change of the channel from the closed to the open state. calcium release channel; sarcoplasmic reticulum; excitation-contraction coupling     

Characterization of the Calcium-release Channel/Ryanodine Receptor from Zebrafish Skeletal Muscle

Calcium (Ca²⁺)-mediated signaling is fueled by two sources for Ca²⁺: Ca²⁺ can enter through Ca²⁺ channels located in the plasma membrane and can also be released from intracellular stores. In the present study the intracellular Ca²⁺ release channel/ryanodine receptor (RyR) from zebrafish skeletal muscle was characterized. Two RyR isoforms could be identified using immunoblotting and single-channel recordings. Biophysical properties as well as the regulation by modulators of RyR, ryanodine, ruthenium red and caffeine, were measured. Comparison with other RyRs showed that the zebrafish RyRs have features observed with all RyRs described to date and thus, can serve as a model system in future genetic and physiological studies. However, some differences in the biophysical properties were observed. The slope conductance for both isoforms was higher than that of the mammalian RyR type 1 (RyR1) measured with divalent ions. Also, inhibition by millimolar Ca²⁺ concentrations of the RyR isoform that is inhibited by high Ca²⁺ concentrations (teleost α RyR isoform) was attenuated when compared to mammalian RyRs. Due to the widespread expression of RyR these findings have important implications for the interpretation of the role of the RyR in Ca²⁺ signaling when comparing zebrafish with mammalian physiology, especially when analyzing mutations underlying physiological changes in zebrafish. Received: 15 February 2001/Revised: 1 June 2001     

Luminal Ca<Superscript>2+</Superscript> activation of cardiac ryanodine receptors by luminal and cytoplasmic domains

The ryanodine receptors form the calcium release channel in the membrane of the sarcoplasmic reticulum (SR, the main intracellular Ca²⁺ store). The importance of ryanodine receptors (RyRs) to cardiac pacemaking and rhythmicity is highlighted by more than 69 mutations, RyR mutations, which underlie arrhythmias and sudden cardiac death. Although most of these mutations lie in cytoplasmic domains, they all cause increased RyR activation by Ca²⁺ in the SR lumen. Presented here is a review of the mechanisms by which cytoplasmic domains of the RyR can determine luminal activation.     

Intracellular calcium release channels mediate their own countercurrent: the ryanodine receptor case study

Intracellular calcium release channels like ryanodine receptors (RyRs) and inositol trisphosphate receptors (IP₃Rs) mediate large Ca²⁺ release events from Ca²⁺ storage organelles lasting >5 ms. To have such long-lasting Ca²⁺ efflux, a countercurrent of other ions is necessary to prevent the membrane potential from becoming the Ca²⁺ Nernst potential in <1 ms. A recent model of ion permeation through a single, open RyR channel is used here to show that the vast majority of this countercurrent is conducted by the RyR itself. Consequently, changes in membrane potential are minimized locally and instantly, assuring maintenance of a Ca²⁺-driving force. This RyR autocountercurrent is possible because of the poor Ca²⁺ selectivity and high conductance for both monovalent and divalent cations of these channels. The model shows that, under physiological conditions, the autocountercurrent clamps the membrane potential near 0 mV within ∼150 μs. Consistent with experiments, the model shows how RyR unit Ca²⁺ current is defined by luminal [Ca²⁺], permeable ion composition and concentration, and pore selectivity and conductance. This very likely is true of the highly homologous pore of the IP₃R channel.     

Interaction of ions with the luminal sides of wild-type and mutated skeletal muscle ryanodine receptors

Ryanodine receptors (RyRs) are the largest known ion channels, and are of central importance for the release of Ca²⁺ from the sarco/endoplasmic reticulum (SR/ER) in a variety of cells. In cardiac and skeletal muscle cells, contraction is triggered by the release of Ca²⁺ into the cytoplasm and thus depends crucially on correct RyR function. In this work, in silico mutants of the RyR pore were generated and MD simulations were conducted to examine the impact of the mutations on the Ca²⁺ distribution. The Ca²⁺ distribution pattern on the luminal side of the RyR was most affected by G4898R, D4899Q, E4900Q, R4913E, and D4917A mutations. MD simulations with our wild-type model and various ion species showed a preference for Ca²⁺ over other cations at the luminal pore entrance. This Ca²⁺-accumulating characteristic of the luminal RyR side may be essential to the conductance properties of the channel.     

Ryanodine receptor dysfunction in human disorders

Regulation of intracellular calcium (Ca²⁺) is critical in all cell types. The ryanodine receptor (RyR), an intracellular Ca²⁺ release channel located on the sarco/endoplasmic reticulum (SR/ER), releases Ca²⁺ from intracellular stores to activate critical functions including muscle contraction and neurotransmitter release. Dysfunctional RyR-mediated Ca²⁺ handling has been implicated in the pathogenesis of inherited and non-inherited conditions including heart failure, cardiac arrhythmias, skeletal myopathies, diabetes, and neurodegenerative diseases. Here we have reviewed the evidence linking human disorders to RyR dysfunction and describe novel approaches to RyR-targeted therapeutics.     

Functional ryanodine receptors in the membranes of neurohypophysial secretory granules

Highly localized Ca²⁺ release events have been characterized in several neuronal preparations. In mouse neurohypophysial terminals (NHTs), such events, called Ca²⁺ syntillas, appear to emanate from a ryanodine-sensitive intracellular Ca²⁺ pool. Traditional sources of intracellular Ca²⁺ appear to be lacking in NHTs. Thus, we have tested the hypothesis that large dense core vesicles (LDCVs), which contain a substantial amount of calcium, represent the source of these syntillas. Here, using fluorescence immunolabeling and immunogold-labeled electron micrographs of NHTs, we show that type 2 ryanodine receptors (RyRs) are localized specifically to LDCVs. Furthermore, a large conductance nonspecific cation channel, which was identified previously in the vesicle membrane and has biophysical properties similar to that of an RyR, is pharmacologically affected in a manner characteristic of an RyR: it is activated in the presence of the RyR agonist ryanodine (at low concentrations) and blocked by the RyR antagonist ruthenium red. Additionally, neuropeptide release experiments show that these same RyR agonists and antagonists modulate Ca²⁺-elicited neuropeptide release from permeabilized NHTs. Furthermore, amperometric recording of spontaneous release events from artificial transmitter-loaded terminals corroborated these ryanodine effects. Collectively, our findings suggest that RyR-dependent syntillas could represent mobilization of Ca²⁺ from vesicular stores. Such localized vesicular Ca²⁺ release events at the precise location of exocytosis could provide a Ca²⁺ amplification mechanism capable of modulating neuropeptide release physiologically.     

?-Adrenergic Stimulation Increases RyR2 Activity via Intracellular Ca2+ and Mg2+ Regulation

Here we investigate how ß-adrenergic stimulation of the heart alters regulation of ryanodine receptors (RyRs) by intracellular Ca²⁺ and Mg²⁺ and the role of these changes in SR Ca²⁺ release. RyRs were isolated from rat hearts, perfused in a Langendorff apparatus for 5 min and subject to 1 min perfusion with 1 µM isoproterenol or without (control) and snap frozen in liquid N₂ to capture their phosphorylation state. Western Blots show that RyR2 phosphorylation was increased by isoproterenol, confirming that RyR2 were subject to normal ß-adrenergic signaling. Under basal conditions, S2808 and S2814 had phosphorylation levels of 69% and 15%, respectively. These levels were increased to 83% and 60%, respectively, after 60 s of ß-adrenergic stimulation consistent with other reports that ß-adrenergic stimulation of the heart can phosphorylate RyRs at specific residues including S2808 and S2814 causing an increase in RyR activity. At cytoplasmic [Ca²⁺] <1 µM, ß-adrenergic stimulation increased luminal Ca²⁺ activation of single RyR channels, decreased luminal Mg²⁺ inhibition and decreased inhibition of RyRs by mM cytoplasmic Mg²⁺. At cytoplasmic [Ca²⁺] >1 µM, ß-adrenergic stimulation only decreased cytoplasmic Mg²⁺ and Ca²⁺ inhibition of RyRs. The K_a and maximum levels of cytoplasmic Ca²⁺ activation site were not affected by ß-adrenergic stimulation.Our RyR2 gating model was fitted to the single channel data. It predicted that in diastole, ß-adrenergic stimulation is mediated by 1) increasing the activating potency of Ca²⁺ binding to the luminal Ca²⁺ site and decreasing its affinity for luminal Mg²⁺ and 2) decreasing affinity of the low-affinity Ca²⁺/Mg²⁺ cytoplasmic inhibition site. However in systole, ß-adrenergic stimulation is mediated mainly by the latter.