Differential Drug Responses on Native GABAA Receptors Revealing Heterogeneity in Extrasynaptic Populations in Cultured Hippocampal Neurons

Hippocampal pyramidal neurons potentially express multiple subtypes of GABA_A receptors at extrasynaptic locations that could therefore respond to different drugs. We activated extrasynaptic GABA_A receptors in cultured rat hippocampal pyramidal neurons and measured single-channel currents in order to compare the actions of two drugs that potentially target different GABA_A receptor subtypes. Despite the possible difference in receptor targets of etomidate and diazepam, the two drugs were similar in their actions on native extrasynaptic GABA_A receptors. Each drug produced three distinct responses that differed significantly in current magnitude, implying heterogeneous GABA_A receptor populations. In the majority of patches, drug application increased both the single-channel conductance (>40 pS) and the open probability of the channels. By contrast, in the minority of patches, drug application caused an increase in open probability only. In the third group high-conductance channels were observed upon GABA activation and drug application increased their open probability only. The currents potentiated by etomidate or diazepam were substantially larger in patches displaying high-conductance GABA channels compared to those displaying only low-conductance channels. Factors contributing to the large magnitude of these currents were the long mean open time of high-conductance channels and the presence of multiple channels in these patches. In conclusion, we suggest that the local density of extrasynaptic GABA_A receptors may influence their single-channel properties and may be an additional regulating factor for tonic inhibition and, importantly, differential drug modulation. This work is dedicated to the memory of Professor P. W. Gage.     

Neurosteroid modulation of benzodiazepine-sensitive GABAA tonic inhibition in supraoptic magnocellular neurons

Interactions between neurosteroids and GABA receptors have attracted particular attention in the supraoptic nucleus (SON). Although GABA(A) receptors (GABA(A)R) mediate a sustained tonic inhibitory current (I(tonic)), as well as conventional phasic inhibitory postsynaptic currents (IPSCs, I(phasic)) in the SON, whether the steroid modulation on I(tonic) is present in SON magnocelluar neurosecretory cells (MNCs) is unknown. Here, we addressed this question and gained insights into the potential molecular configuration of GABA(A) receptors mediating I(tonic) and conferring its neurosteroids sensitivity in SON MNCs. 4,5,6,7-tetrahydroisoxazolo[5,4-c]-pyridin-3-ol (THIP) (1 μM), a relatively selective extrasynaptic GABA(A)R agonist, facilitated I(tonic) without affecting the main characteristics of IPSCs, while DS-2, a relatively selective modulator of GABA(A)R δ-subunits, caused minimal changes in I(tonic) of SON MNCs. l-655,708, a relatively selective GABA(A)R α(5)-subunit inverse agonist, blocked ～35% of the total I(tonic) both under basal and elevated ambient GABA concentration (3 μM). Facilitation of I(tonic) by benzodiazepines further supported the role of GABA(A)R γ(2)-subunit in I(tonic) of SON MNCs. Quantitative RT-PCR analysis showed much lesser expression of GABA(A)R δ-subunit than the α(5) or γ(2)-subunit in the SON. Allopregnanolone and 3α,5α-tetrahydrodeoxycorticosterone increased both I(tonic) and I(phasic) in SON MNCs, respectively, although more than 90% of the current increase was mediated by I(tonic) during the neurosteroid facilitation. Finally, l-655,708 attenuated the neurosteroid facilitation of I(tonic) but not of I(phasic). Altogether, our results suggest that I(tonic), mediated mainly by benzodiazepine-sensitive GABA(A)Rs containing α(5)-, β-, and γ(2)-, and to a lesser extent, δ-subunits, is a potential target of neurosteroid modulation in SON neurons.     

GABA increases both the conductance and mean open time of recombinant GABAA channels co-expressed with GABARAP

The single channel properties of recombinant gamma-aminobutyric acid type A (GABA(A))alphabetagamma receptors co-expressed with the trafficking protein GABARAP were investigated using membrane patches in the outside-out patch clamp configuration from transiently transfected L929 cells. In control cells expressing alphabetagamma receptors alone, GABA activated single channels whose main conductance was 30 picosiemens (pS) with a subconductance state of 20 pS, and increasing the GABA concentration did not alter their conductance. In contrast, when GABA(A) receptors were co-expressed with GABARAP, the GABA-activated single channels displayed multiple, high conductances (> or =40 pS), and GABA (> or =10 microM) was able to increase their conductance, up to a maximum of 60 pS. The mean open time of GABA-activated channels in control cells expressing alphabetagamma receptors alone was 2.3 +/- 0.1 ms for the main 30-pS channel and shorter for the subconductance state (20 pS, 0.8 +/- 0.1 ms). Similar values were measured for the 30- and 20-pS channels active in patches from cells co-expressing GABARAP. However higher conductance channels (> or =40 pS) remained open longer, irrespective of whether GABA or GABA plus diazepam activated them. Plotting mean open times against mean conductances revealed a linear relationship between these two parameters. Since high GABA concentrations increase both the maximum single channel conductance and mean open time of GABA(A) channels co-expressed with GABARAP, trafficking processes must influence ion channel properties. This suggests that the organization of extrasynaptic GABA(A) receptors may provide a range of distinct inhibitory currents in the brain and, further, provide differential drug responses.     

Conductance of recombinant GABA (A) channels is increased in cells co-expressing GABA(A) receptor-associated protein

High conductance gamma-aminobutyric acid type A (GABA(A)) channels (>40 picosiemens (pS)) have been reported in some studies on GABA(A) channels in situ but not in others, whereas recombinant GABA(A) channels do not appear to display conductances above 40 pS. Furthermore, the conductance of some native GABA(A) channels can be increased by diazepam or pentobarbital, which are effects not reported for expressed GABA(A) channels. GABARAP, a protein associated with native GABA(A) channels, has been reported to cause clustering of GABA(A) receptors and changes in channel kinetics. We have recorded single channel currents activated by GABA in L929 cells expressing alpha(1), beta(1), and gamma(2S) subunits of human GABA(A) receptors. Channel conductance was never higher than 40 pS and was not significantly increased by diazepam or pentobarbital, although open probability was increased. In contrast, in cells expressing the same three subunits together with GABARAP, channel conductance could be significantly higher than 40 pS, and channel conductance was increased by diazepam and pentobarbital. GABARAP caused clustering of receptors in L929 cells, and we suggest that there may be interactions between subunits of clustered GABA(A) receptors that make them open co-operatively to give high conductance "channels." Recombinant channels may require the influence of GABARAP and perhaps other intracellular proteins to adopt a fuller repertoire of properties of native channels.     

Spontaneously Opening GABAA Channels in CA1 Pyramidal Neurones of Rat Hippocampus

Spontaneous, single channel, chloride currents were recorded in 48% of cell-attached patches on neurones in the CA1 region of rat hippocampal slices. In some patches, there was more than 1 channel active. They showed outward rectification: both channel conductance and open probability were greater at depolarized than at hyperpolarized potentials. Channels activated by γ-aminobutyric acid (GABA) in silent patches on the same neurones had similar conductance and outward rectification. The spontaneous currents were inhibited by bicuculline and potentiated by diazepam. It was concluded that the spontaneously opening channels were constitutively active, nonsynaptic GABA_A channels. Such spontaneously opening GABA_A channels may provide a tonic inhibitory mechanism in these cells and perhaps in other cells that have GABA_A receptors although not having a GABA_A synaptic input. They may also be a target for clinically useful drugs such as the benzodiazepines. Received: 31 August 1999/Revised: 2 November 1999     

Insulin reduces neuronal excitability by turning on GABA(A) channels that generate tonic current

Insulin signaling to the brain is important not only for metabolic homeostasis but also for higher brain functions such as cognition. GABA (γ-aminobutyric acid) decreases neuronal excitability by activating GABA(A) channels that generate phasic and tonic currents. The level of tonic inhibition in neurons varies. In the hippocampus, interneurons and dentate gyrus granule cells normally have significant tonic currents under basal conditions in contrast to the CA1 pyramidal neurons where it is minimal. Here we show in acute rat hippocampal slices that insulin (1 nM) "turns on" new extrasynaptic GABA(A) channels in CA1 pyramidal neurons resulting in decreased frequency of action potential firing. The channels are activated by more than million times lower GABA concentrations than synaptic channels, generate tonic currents and show outward rectification. The single-channel current amplitude is related to the GABA concentration resulting in a single-channel GABA affinity (EC(50)) in intact CA1 neurons of 17 pM with the maximal current amplitude reached with 1 nM GABA. They are inhibited by GABA(A) antagonists but have novel pharmacology as the benzodiazepine flumazenil and zolpidem are inverse agonists. The results show that tonic rather than synaptic conductances regulate basal neuronal excitability when significant tonic conductance is expressed and demonstrate an unexpected hormonal control of the inhibitory channel subtypes and excitability of hippocampal neurons. The insulin-induced new channels provide a specific target for rescuing cognition in health and disease.     

Graded response to GABA by native extrasynaptic GABA receptors

GABA is the main inhibitory neurotransmitter in the mammalian CNS. GABA in the brain is commonly associated with a fast, point-to-point form of signalling called synaptic transmission (phasic inhibition), but there is growing evidence that GABA participates in another, slower and more diffuse form of signalling often referred to as tonic inhibition. Unresolved questions regarding tonic neuronal inhibition concern activation and functional properties of extrasynaptic GABAA receptors (GABARex) present on neurones. Extrasynaptic receptors are exposed to submicromolar GABA concentrations and may modulate the overall excitability of neurones and neuronal networks. Here, we examined GABA-activated single-channel currents in dentate gyrus granule neurones in rat hippocampal slices. We activated three types (I, II, III) of GABARex channels by nanomolar GABA concentrations (EC50 I: 27 +/- 12; II: 4 +/- 3; III: 43 +/- 19 nm). The channels opened after a delay and the single-channel conductance was graded (gammamax I: 61 +/- 3; II: 85 +/- 8, III: 40 +/- 3 pS). The channels were differentially modulated by 1 microm diazepam, 200 nm zolpidem, 1 microm flumazenil and 50 nm THDOC (3alpha, 21-dihydroxy-5alpha-pregnan-20-one), consistent with the following minimal subunit composition of GABARex I alpha1betagamma2, GABARex II alpha4betagamma2 and GABARex III alphabetadelta channels.     

Modulation of the GABAA receptor by progesterone metabolites

The naturally occurring progesterone metabolites 5 beta-pregnan-3 alpha-ol-20-one and 5 beta-pregnane-3,20-dione reversibly enhance membrane currents elicited by locally applied GABA in bovine adrenomedullary chromaffin cells. Such potentiation was not influenced by the benzodiazepine antagonist Ro 15-1788. At concentrations in excess of those necessary to evoke potentiation of GABA currents, 5 beta-pregnan-3 alpha-ol-20-one and 5 beta-pregane-3,20-dione directly activated a membrane conductance. The resulting currents were potentiated by phenobarbitone and diazepam, and abolished by the GABAA-receptor antagonist, bicuculline. On outside-out membrane patches, 5 beta-pregnan-3 alpha-ol-20-one and 5 beta-pregnane-3,20-dione activated single channel currents of similar amplitude to those evoked by GABA. The results suggest that certain naturally occurring steroids potentiate the actions of GABA and, additionally, directly activate the GABAA receptor.     

Single-channel currents underlying glycinergic inhibitory postsynaptic responses in spinal neurons.

Single-channel properties of glycine receptors have been characterized so far only in cultured neurons. To characterize the glycine receptor channels in situ, we applied the patch-clamp technique to spinal neurons in slice preparations. Glycine-gated, single-channel currents were recorded in outside-out patches excised from spinal neurons. In the falling phase of glycinergic inhibitory synaptic currents, single-channel currents were resolved as discrete steps. In both cases, the glycine-gated channels showed similar multiple conductance levels. These results suggest that the receptor channel properties are indistinguishable in the synaptic and extrasynaptic sites. We conclude that multiple conductance states of a receptor channel are the native feature of the glycine receptor in situ.     

γ-Aminobutyric Acid Type A (GABAA) Receptor α Subunits Play a Direct Role in Synaptic Versus Extrasynaptic Targeting

GABA(A) receptors (GABA(A)-Rs) are localized at both synaptic and extrasynaptic sites, mediating phasic and tonic inhibition, respectively. Previous studies suggest an important role of γ2 and δ subunits in synaptic versus extrasynaptic targeting of GABA(A)-Rs. Here, we demonstrate differential function of α2 and α6 subunits in guiding the localization of GABA(A)-Rs. To study the targeting of specific subtypes of GABA(A)-Rs, we used a molecularly engineered GABAergic synapse model to precisely control the GABA(A)-R subunit composition. We found that in neuron-HEK cell heterosynapses, GABAergic events mediated by α2β3γ2 receptors were very fast (rise time ～2 ms), whereas events mediated by α6β3δ receptors were very slow (rise time ～20 ms). Such an order of magnitude difference in rise time could not be attributed to the minute differences in receptor kinetics. Interestingly, synaptic events mediated by α6β3 or α6β3γ2 receptors were significantly slower than those mediated by α2β3 or α2β3γ2 receptors, suggesting a differential role of α subunit in receptor targeting. This was confirmed by differential targeting of the same δ-γ2 chimeric subunits to synaptic or extrasynaptic sites, depending on whether it was co-assembled with the α2 or α6 subunit. In addition, insertion of a gephyrin-binding site into the intracellular domain of α6 and δ subunits brought α6β3δ receptors closer to synaptic sites. Therefore, the α subunits, together with the γ2 and δ subunits, play a critical role in governing synaptic versus extrasynaptic targeting of GABA(A)-Rs, possibly through differential interactions with gephyrin.     

GABA-induced potassium channels in cultured neurons

When gamma-aminobutyric acid (GABA) or baclofen were applied to cultured rat hippocampal neurons, single-channel potassium currents appeared after a delay of 30 s or more in patches of membrane on the cell surface isolated from the agonists by the recording pipette. The appearance of currents in patches not exposed to agonist, the delay in their appearance and the suppression of currents in cells pre-incubated with pertussis toxin indicate the involvement of an intracellular second messenger system. The channels were associated with a GABAB receptor rather than a GABAA receptor as they were blocked by baclofen, a GABAB antagonist, but were not affected by bicuculline, a GABAA antagonist. A feature of the single channel currents was their variable amplitude: they had a maximum conductance of ca. 70 pS and displayed many lower conductance states that were integral multiples of 5-6 pS. In several cells exposed to GABA or baclofen, first small currents and then progressively larger currents appeared: current amplitude was a multiple of an elementary current. It is suggested that binding of GABA to GABAB receptors activates a second messenger system causing opening of oligomeric potassium channels.     

Clustering of extrasynaptic GABA(A) receptors modulates tonic inhibition in cultured hippocampal neurons

Tonic inhibition plays a crucial role in regulating neuronal excitability because it sets the threshold for action potential generation and integrates excitatory signals. Tonic currents are known to be largely mediated by extrasynaptic gamma-aminobutyric acid type A (GABA(A)) receptors that are persistently activated by submicromolar concentrations of ambient GABA. We recently reported that, in cultured hippocampal neurons, the clustering of synaptic GABA(A) receptors significantly affects synaptic transmission. In this work, we demonstrated that the clustering of extrasynaptic GABA(A) receptors modulated tonic inhibition. Depolymerization of the cytoskeleton with nocodazole promoted the disassembly of extrasynaptic clusters of delta and gamma(2) subunit-containing GABA(A) receptors. This effect was associated with a reduction in the amplitude of tonic currents and diminished shunting inhibition. Moreover, diffuse GABA(A) receptors were less sensitive to the GAT-1 inhibitor NO-711 and to flurazepam. Quantitative analysis of GABA-evoked currents after prolonged exposure to submicromolar concentrations of GABA and model simulations suggest that clustering affects the gating properties of extrasynaptic GABA(A) receptors. In particular, a larger occupancy of the singly and doubly bound desensitized states can account for the modulation of tonic inhibition recorded after nocodazole treatment. Moreover, comparison of tonic currents recorded during spontaneous activity and those elicited by exogenously applied low agonist concentrations allows estimation of the concentration of ambient GABA. In conclusion, receptor clustering appears to be an additional regulating factor for tonic inhibition.     

The neuroactive steroids alphaxalone and pregnanolone increase the conductance of single GABAA channels in newborn rat hippocampal neurons

The effects of the neuroactive steroids alphaxalone and pregnanolone on single GABA(A) receptor channels were tested in cell-attached and inside-out patches from cultured newborn rat hippocampal neurons. The conductance of these single channels ranged between 10 and 80 pS when exposed to low (0.5-3 microM) GABA concentrations. These GABA concentrations activated low-conducting channels (<40 pS) in 78% of the patches, 22% of patches had channels with a maximum conductance above 40 pS. Alphaxalone at concentrations above 1 microM, and pregnanolone at concentrations above 0.1 microM, significantly increased the conductance of initially low-conducting single channels activated by GABA up to seven-fold and at all concentrations tested, both drugs increased open probability and mean open time and decreased closed probability and mean closed time of channels. Both steroids at higher concentrations could directly activate high conductance (>40 pS) chloride channels. Both the directly activated channels and those channels that had been previously affected by alphaxalone were modulated by diazepam, a benzodiazepine drug that is known to specifically modulate GABA(A) channels. The present study is the first one to show that neurosteroids can significantly increase single GABA(A) channel conductance, thus enlarging our current knowledge on the molecular mechanism of action of these compounds.     

GABA Concentration Sets the Conductance of Delayed GABAA Channels in Outside-out Patches from Rat Hippocampal Neurons

GABA_A channels were activated by GABA in outside-out patches from rat cultured hippocampal neurons. They were blocked by bicuculline and potentiated by diazepam. In 109 of 190 outside-out patches, no channels were active before exposure to GABA (silent patches). The other 81 patches showed spontaneous channel activity. In patches containing spontaneous channel activity, rapid application of GABA rapidly activated channels. In 93 of the silent patches, channels could be activated by GABA but only after a delay that was sometimes as long as 10 minutes. The maximum channel conductance of the channels activated after a delay increased with GABA concentration from less than 10 pS (0.5 μm GABA) to more than 100 pS (10 mm GABA). Fitting the data with a Hill-type equation gave an EC ₅₀ value of 33 μm and a Hill coefficient of 0.6. The channels showed outward rectification and were chloride selective. In the presence of 1 μm diazepam, the GABA EC ₅₀ decreased to 0.2 μm but the maximum conductance was unchanged. Diazepam decreased the average latency for channel opening. Bicuculline, a GABA antagonist, caused a concentration-dependent decrease in channel conductance. In channels activated with 100 μm GABA the bicuculline IC ₅₀ was 19 μm. The effect of GABA on channel conductance shows that the role of the ligand in GABA_A receptor channel function is more complex than previously thought. Received: 23 October 2000/Revised: 27 February 2001     

Enhancement of diazepam and gamma-aminobutyric acid binding by (+)etomidate and pentobarbital

Abstract: (+) Etomidate and pentobarbital enhance [³H]diazepam and [³H]γ-aminobutyric acid ([³H]GABA) binding to cerebral cortex membranes. Both (+)etomidate and pentobarbital increase the affinity of [³H]diazepam for its binding sites. In contrast, they increase the B _max of both the high- and low-affinity GABA receptor sites. The enhancement of [³H]diazepam and [³H]GABA by (+)etomidate and pentobarbital is blocked by GABA antagonists. These results indicate that hypnotic drugs such as (+)etomidate and pentobarbital, which are not structurally related, modulate diazepam and GABA binding sites via similar mechanisms.     

Secretory activation of basolateral membrane Cl- channels in guinea pig distal colonic crypts

Cell-attached recordings revealed Cl(-) channel activity in basolateral membrane of guinea pig distal colonic crypts isolated from basement membrane. Outwardly rectified currents ((gp)Cl(or)) were apparent with a single-channel conductance (gamma) of 29 pS at resting membrane electrical potential; another outward rectifier with gamma of 24 pS was also observed ( approximately 25% of (gp)Cl(or)). At a holding potential of -80 mV gamma was 18 pS for both (gp)Cl(or) currents, and at +80 mV gamma was 67 and 40 pS, respectively. Identity as Cl(-) channels was confirmed in excised patches by changing bath ion composition. From reversal potentials, relative permeability of K(+) over Cl(-) (P(K)/P(Cl)) was 0.07 +/- 0.03, with relative permeability of Na(+) over Cl(-) (P(Na)/P(Cl)) = 0.08 +/- 0.04. A second type of Cl(-) channel was seen with linear current-voltage (I-V) relations ((gp)Cl(L)), having subtypes with gamma of 21, 13, and 8 pS. Epinephrine or forskolin increased the number of open (gp)Cl(or) and (gp)Cl(L). Open probabilities (P(o)) of (gp)Cl(or), (gp)Cl(L21), and (gp)Cl(L13) were voltage dependent in cell-attached patches, higher at more positive potentials. Kinetics of (gp)Cl(or) were more rapid with epinephrine activation than with forskolin activation. Epinephrine increased P(o) at the resting membrane potential for (gp)Cl(L13). Secretagogue activation of these Cl(-) channels may contribute to stimulation of electrogenic K(+) secretion across colonic epithelium by increasing basolateral membrane Cl(-) conductance that permits Cl(-) exit after uptake via Na(+)-K(+)-2Cl(-) cotransport.     

Extrasynaptic GABA(A) receptors: their function in the CNS and implications for disease

Over the past two decades, research has identified extrasynaptic GABA(A) receptor populations that enable neurons to sense the low ambient GABA concentrations present in the extracellular space in order to generate a form of tonic inhibition not previously considered in studies of neuronal excitability. The importance of this tonic inhibition in regulating states of consciousness is highlighted by the fact that extrasynaptic GABA(A) receptors (GABA(A)Rs) are believed to be key targets for anesthetics, sleep-promoting drugs, neurosteroids, and alcohol. The neurosteroid sensitivity of these extrasynaptic GABA(A)Rs may explain their importance in stress-, ovarian cycle-, and pregnancy-related mood disorders. Moreover, disruptions in network dynamics associated with schizophrenia, epilepsy, and Parkinson's disease may well involve alterations in the tonic GABA(A)R-mediated conductance. Extrasynaptic GABA(A)Rs may therefore present a therapeutic target for treatment of these diseases, with the potential to enhance cognition and aid poststroke functional recovery.     

Pharmacological analysis of the activation and receptor properties of the tonic GABA(C)R current in retinal bipolar cell terminals

GABAergic inhibition in the central nervous system (CNS) can occur via rapid, transient postsynaptic currents and via a tonic increase in membrane conductance, mediated by synaptic and extrasynaptic GABA(A) receptors (GABA(A)Rs) respectively. Retinal bipolar cells (BCs) exhibit a tonic current mediated by GABA(C)Rs in their axon terminal, in addition to synaptic GABA(A)R and GABA(C)R currents, which strongly regulate BC output. The tonic GABA(C)R current in BC terminals (BCTs) is not dependent on vesicular GABA release, but properties such as the alternative source of GABA and the identity of the GABA(C)Rs remain unknown. Following a recent report that tonic GABA release from cerebellar glial cells is mediated by Bestrophin 1 anion channels, we have investigated their role in non-vesicular GABA release in the retina. Using patch-clamp recordings from BCTs in goldfish retinal slices, we find that the tonic GABA(C)R current is not reduced by the anion channel inhibitors NPPB or flufenamic acid but is reduced by DIDS, which decreases the tonic current without directly affecting GABA(C)Rs. All three drugs also exhibit non-specific effects including inhibition of GABA transporters. GABA(C)R ρ subunits can form homomeric and heteromeric receptors that differ in their properties, but BC GABA(C)Rs are thought to be ρ1-ρ2 heteromers. To investigate whether GABA(C)Rs mediating tonic and synaptic currents may differ in their subunit composition, as is the case for GABA(A)Rs, we have examined the effects of two antagonists that show partial ρ subunit selectivity: picrotoxin and cyclothiazide. Tonic and synaptic GABA(C)R currents were differentially affected by both drugs, suggesting that a population of homomeric ρ1 receptors contributes to the tonic current. These results extend our understanding of the multiple forms of GABAergic inhibition that exist in the CNS and contribute to visual signal processing in the retina.     

Potentiation of nicotinic receptor response by external calcium in rat central neurons.

Nicotinic acetylcholine receptor (nAChR) responses of rat medial habenular neurons are potentiated up to 3.5-fold by increasing the concentration of external Ca2+ in the millimolar range. This effect, independent of voltage, is probably due to the binding of Ca2+ to an external site. External Ca2+ decreases nAChR single-channel conductance at negative but not positive potentials, and it markedly enhances the frequency of opening of acetylcholine activated channels. The potentiating effect of Ca2+ is mimicked by Ba2+ and Sr2+, but barely by Mg2+. These data support the existence of positively acting allosteric sites for Ca2+, distinct from those involved in the decrease of single-channel conductance. A model in which external Ca2+ changes the properties of activation of the nAChR appears consistent with these data.