AJP - Heart Email Content Delivery
HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS
 QUICK SEARCH:   [advanced]


     


Am J Physiol Heart Circ Physiol 280: H2399-H2405, 2001;
0363-6135/01 $5.00
This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Supplemental Videos
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Right arrow Citation Map
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in Web of Science
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Download to citation manager
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Web of Science (66)
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Mauban, J. R. H.
Right arrow Articles by Wier, W. G.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by Mauban, J. R. H.
Right arrow Articles by Wier, W. G.
Vol. 280, Issue 5, H2399-H2405, May 2001

RAPID COMMUNICATION
Adrenergic stimulation of rat resistance arteries affects Ca2+ sparks, Ca2+ waves, and Ca2+ oscillations

Joseph R. H. Mauban, Christine Lamont, C. William Balke, and W. Gil Wier

Department of Physiology and Division of Cardiology, School of Medicine, University of Maryland, Baltimore, Maryland 21201


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

Confocal laser scanning microscopy and fluo 4 were used to visualize local and whole cell Ca2+ transients within individual smooth muscle cells (SMC) of intact, pressurized rat mesenteric small arteries during activation of alpha 1-adrenoceptors. A method was developed to record the Ca2+ transients within individual SMC during the changes in arterial diameter. Three distinct types of "Ca2+ signals" were influenced by adrenergic activation (agonist: phenylephrine). First, asynchronous Ca2+ transients were elicited by low levels of adrenergic stimulation. These propagated from a point of origin and then filled the cell. Second, synchronous, spatially uniform Ca2+ transients, not reported previously, occurred at higher levels of adrenergic stimulation and continued for long periods during oscillatory vasomotion. Finally, Ca2+ sparks slowly decreased in frequency of occurrence during exposure to adrenergic agonists. Thus adrenergic activation causes a decrease in the frequency of Ca2+ sparks and an increase in the frequency of asynchronous wavelike Ca2+ transients, both of which should tend to decrease arterial diameter. Oscillatory vasomotion is associated with spatially uniform synchronous oscillations of cellular [Ca2+] and may have a different mechanism than the asynchronous, propagating Ca2+ transients.

calcium transient; smooth muscle; artery; mesenteric artery; smooth muscle cells


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

FORCE PRODUCTION by vascular smooth muscle cells (SMC) after activation of alpha 1-adrenoceptors is regulated by both Ca2+-dependent and Ca2+-independent mechanisms (9, 22). It is now being recognized that the average arterial wall Ca2+, observed previously (e.g., 18, 23), is not, in fact, representative of the Ca2+ within the individual SMC of the arterial wall, particularly during adrenergic activation. Confocal imaging of Ca2+ in intact arteries and veins has shown that adrenergic activation involves distinct, asynchronous intracellular Ca2+ concentration ([Ca2+]i) oscillations in individual SMC (16, 19, 24, 28) rather than the abrupt initial rise and subsequent fall in average Ca2+ that had been recorded previously (e.g., 18). It also has been postulated (7) that Ca2+ sparks (25) play an important role in the alpha 1-adrenergic regulation of arterial diameter.

Ideally, Ca2+ signals of the type discussed above would be studied with high spatial resolution in blood vessels that are free to constrict and that are subjected to physiological levels of intraluminal pressure. Confocal imaging studies, however, have generally utilized arteries stretched over glass cannulas or are otherwise immobilized (i.e., are "isometric") because motion interferes with confocal imaging. Nevertheless, arteries maintained under isobaric conditions (i.e., constant pressure) and those maintained under constant length conditions (isometric) are expected to be in different physiological states. Pressurization of rat mesenteric small arteries induces myogenic tone by depolarization, with consequent entry of Ca2+ (20), in combination with unknown mechanisms that strongly increase the "Ca2+ sensitivity" of the contractile proteins (31), possibly involving protein kinase C (10). Unknown positive and negative feedback mechanisms regulating contraction during adrenergic activation are different in isometric and isobaric blood vessels (30). Therefore, in this study, we recorded Ca2+ signals during the motion of isobaric resistance arteries. The sole previous study of Ca2+ signaling in individual SMC of isobaric arteries (24) provided evidence of asynchronous Ca2+ transients during adrenergic activation, but did not reveal Ca2+ signals during active decreases in diameter or during vasomotion, which develops at high levels of agonist activation, nor were the effects on Ca2+ sparks observed. Neither have there been any studies of the complete time course of Ca2+ signals during maintained exposure to adrenergic agonists, although this is expected to be important information, given the current concept that the importance of Ca2+-dependent mechanisms of force declines with time (18). In the present study, therefore, we sought to record, for the first time, the Ca2+ signals (Ca2+ sparks, Ca2+ waves, and synchronous whole cell Ca2+ oscillations) within the individual SMC of isobaric arteries during decreases in diameter and during vasomotion activated by the alpha 1-adrenoceptor agonist phenylephrine (PE).


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

Preparation of arteries. All experiments were carried out according to the guidelines of the Institutional Animal Care and Use Committee of the University of Maryland School of Medicine. Male Sprague-Dawley rats weighing 200-330 g were anesthetized by intramuscular injection of pentobarbital sodium (Nembutal, 50-100 mg/kg) and euthanized by cervical dislocation. The mesenteric arcade was dissected and placed in a cold dissection chamber (7°C) containing a solution (the "dissection" solution) with the following composition (mM): 2 MOPS, 145 NaCl, 4.7 KCl, 2.0 CaCl2, 1.2 MgSO4, 1.2 NaH2PO4, 0.02 EDTA, 2 pyruvate, and 5 glucose and 1.0% albumin (pH 7.4). Dissected arteries (12) were loaded with fluo 4 at room temperature for 3-4 h in the dissection solution (but without albumin) to which had been added 10 µM fluo 4-AM, 1.5% DMSO (vol/vol), and 0.03% cremophor EL (vol/vol). Arteries to be studied under isometric conditions were mounted over glass cannulas ~250 µm diameter. All arteries were equilibrated over ~1 h to initial experimental conditions (22°C, 70 mmHg) studied in a modified Krebs solution of the following composition (in mM): 112 NaCl, 25.7 NaHCO3, 4.9 KCl, 2.5 CaCl2, 1.2 MgSO4, 1.2 KHPO4, 11.5 glucose, and 10 HEPES (pH 7.4 at 22°C); equilibrated with gas of 5% O2-5% CO2-90% N2. Most arteries were studied at 22°C rather than at 37°C because fluo 4 was much better retained at the lower temperature. In total, results from 35 arteries were included in this report. Initial studies in arteries free of dye at the two temperatures (see RESULTS) established some of the differences in behavior at the two temperatures.

Measurements of fluorescence and arterial diameter. We used a custom confocal laser scanning microscope described in detail previously (27, 32). The "water" objective lens (×60; numerical aperature, 1.2) provided excellent spatial resolution but a small field-of-view. To obtain a larger field-of-view during large contractions, we used a "dry" low-power objective lens (×20; 0.4 numerical aperature). Resolution with this objective lens was still adequate to resolve individual SMC. As shown in Fig. 1, the optical sections we obtained in the present study were of two types. "Radial" sections (Fig. 1A) are relatively uninfluenced by arterial wall motion and show individual SMC in cross section. A digital video (DV) clip (Fig. 1) illustrates the fact that individual SMC can be successfully "tracked" during vasomotion (DV clips for Figs. 1, 3A, and 4A are available at the AJP: Heart and Circulatory Physiology web site).1 "Tangential" sections (Fig. 1B) (usually of arteries on glass cannulas) are strongly affected by motion but more easily reveal Ca2+ sparks and are required to investigate propagating Ca2+ waves. To improve temporal resolution when recording Ca2+ sparks, SMC were imaged in the tangential line-scan mode in which the same line, 50 µm in length, was scanned once every 3 ms for 1.5 s, thus creating a single line-scan image. Between successive images, however, the position of the line was moved randomly to a new position within a 50 × 50-µm planar area of the artery, a technique we refer to as "randomized confocal line scanning." This allows objective measurements of Ca2+ spark frequency, because the measurements cannot be biased by observer selection. With this technique, Ca2+ spark frequency is presented in terms of the number of Ca2+ sparks recorded per unit of distance (µm) scanned per unit of time (s). Measurements of arterial wall position were made either by using the edges of the fluorescence image (e.g., Fig. 1A, a and b) or in arteries not containing fluo 4, from transmitted light images recorded at 2 s-1. Fluorescence images were corrected for photobleaching of fluo 4. Although we may refer to the images as "Ca2+ images," all the images are simply of Ca2+-dependent fluo 4 fluorescence. Autofluorescence was negligible in these arteries in these experiments. All image analysis was done with custom computer procedures written in IDL (Research Systems; Boulder, CO). DV clips were constructed from the original data using digital video editing software (Adobe Systems; San Jose, CA). The DV clips may be viewed with Microsoft Windows Media Player (Microsoft; Redmond, WA).


View larger version (91K):
[in this window]
[in a new window]
 
Fig. 1.   Confocal optical sectioning of the vascular wall of pressurized mesenteric arteries during vasomotion (A) and steady vasoconstriction (B). A, left: stippled plane indicating a "horizontal radial" optical section as obtained by the confocal laser-scanning microscope. Individual smooth muscle cells (SMC) will appear in cross section in this type of image (A, a and b). This optical section is coplanar with a plane through the geometrical center of the artery. Note that the vertical component of vasomotion (arrow) is zero in this case, thus obviating movement artifacts that occur when the confocal microscope is focused in other planes. Individual SMC can be observed unambiguously during the vasomotion (A, a and b), although their shape changes. A digital video (DV) clip (DV clip is available at the AJP: Heart and Circulatory Physiology web site)1 illustrates the fact that individual SMC can be successfully "tracked" during vasomotion. B, left: stippled plane indicating a "tangential" optical section. High resolution horizontal tangential optical sections showing the individual SMC in longitudinal section (B, a). This type of optical section was used during steady vasoconstriction and in arteries mounted isometrically on glass cannulas.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

Effects of temperature. Figure 2 illustrates the basic contractile responses of isobaric arteries to PE as well as some characteristics of the responses at the two different temperatures. At 37°C, exposure of isobaric arteries (70 mmHg) to relatively low concentrations of PE (<= 300 nM) caused a decrease in diameter to a constant level, which we call "steady" vasoconstriction (Fig. 2A, top trace). Application of higher concentrations (e.g., 3.0 µM, Fig. 2A, bottom trace) caused a larger initial decrease, which was then followed by vasomotion. Cumulative concentration-effect curves are shown in Fig. 2B for arteries at 22°C (3 arteries) and 37°C (5 arteries). Oscillations were usually absent at PE concentration of <300 nM. When vasomotion was present, the average diameter was used. The two concentration-effect curves, obtained at the two different temperatures, are not significantly different (unpaired t-test, P < 0.05), both having an EC50 of ~300 nM. The maximum frequency of physical oscillations (Fig. 2D) at 37°C was 0.20 ± 0.01 Hz, significantly different from that at 22°C, 0.059 ± 0.004 Hz (unpaired t-test, P < 0.05). The amplitude of the oscillations in diameter (Fig. 2C) (relative to the maximum diameter) at 37°C was also significantly larger than that at 22°C, 0.089 ± 0.003 as opposed to 0.054 ± 0.001 (unpaired t-test, P < 0.05). These results indicated that the sensitivity of the arteries to PE was not significantly different at the experimental temperature, but that the frequency and relative amplitudes of vasomotion were less at the lower temperature.


View larger version (20K):
[in this window]
[in a new window]
 
Fig. 2.   Adrenergic activation of isobaric rat mesenteric small arteries. Concentration-effect curves of phenylephrine (PE) and effects of temperature. A: time courses of vasoconstriction induced by alpha 1-adrenoceptor agonist PE in pressurized (70 mmHg) arteries at concentrations of 300 nM (top trace) and 3.0 µM (bottom trace). The lower concentration induced a steady vasoconstriction, which relaxed rapidly upon removal of PE. At the higher concentration, the recording ended before the PE was removed. Arterial diameter refers to the outside diameter, as measured using digitized brightfield images of the arteries. B: concentration-effect curves summarizing data from the type of experiment illustrated in A, at 37°C (n = 5, open circles) and 22°C (n = 3, solid circles). Max Diameter, diameter in the absence of external Ca2+. On average, arteries developed more tone at 37°C (~16%) than at 22°C (~8%). The approximate EC50 for the two temperatures was the same, however, 300 nM. When oscillatory vasomotion occurred, the average diameter was used. C: maximum amplitude of the oscillations was much less at 22°C (~5.4% of maximum diameter) than at 37°C (~9.3% of maximum diameter). D: similarly, the maximum frequency was much less at 22°C (0.06 Hz) than at 37°C (0.20 Hz).

Ca2+ transients in individual SMC at low levels of adrenergically stimulated vasoconstriction. In isobaric arteries, application of PE at concentrations near the EC50 caused an initial rapid, nearly synchronous Ca2+ transient in all the individual SMC (see Fig. 3, A and B,b, and the DV clip). At a PE concentration over the range of 300 nM-3 µM, this initial calcium transient, produced by most of the cells in an artery, varied in duration from 19 to 87 s (36.34 ± 5.05 s, n = 5 arteries). At the lower end of this range of PE concentration, the decrease in diameter then developed relatively slowly, and asynchronous Ca2+ transients in individual SMC then occurred, as can been seen particularly clearly in the video clip. The frequency of these oscillations and the number of cells producing such oscillations was dependent on the PE concentration. In 87 cells, taken from 4 arteries exposed to PE over the range of concentrations of 300 nM-3 µM and imaged during both the initial development of vasoconstriction and during steady vasoconstriction, the frequency of these asynchronous oscillations was 0.051 ± 0.002 Hz. It has been shown recently, in venous smooth muscle (28) and in arterial smooth muscle (33), that the number of cells producing these asynchronous Ca2+ transients depends on the concentration of PE. Although not quantified, it appeared that, if synchronous Ca2+ oscillations did not develop (see Ca2+ transients in individual SMC at high levels of adrenergically stimulated vasoconstriction), the frequency of the asynchronous Ca2+ oscillations declined throughout the period of exposure to PE.


View larger version (42K):
[in this window]
[in a new window]
 
Fig. 3.   Ca2+ and contraction recorded simultaneously during the contraction of a pressurized (70 mmHg) rat mesenteric artery stimulated with PE (300 nM). A: radial view images of the arterial wall before (top), during (middle), and after removal of PE (bottom). SMC are seen in cross section. Fluorescence intensity, indicating Ca2+-dependent fluo 4 fluorescence, is represented with the color bar ([Ca2+] increases with color from bottom to top of the color bar). Asynchronous Ca2+ transients may be seen clearly in the accompanying DV clip (DV clip is available at the AJP: Heart and Circulatory Physiology web site). B,a: position of the arterial wall, as determined from images in A, in response to stimulation. B,b: red and black traces indicate fluorescence from two identified cells that could be followed throughout the experiment. Note that fluorescence changes are synchronous initially and then become distinctly asynchronous.

Ca2+ transients in individual SMC at high levels of adrenergically stimulated vasoconstriction. Relatively high PE concentration (>= 1.0 µM) generally resulted in vasoconstriction immediately followed by vasomotion in isobaric arteries. The spatiotemporal pattern of intracellular [Ca2+] was fundamentally different from that at lower PE concentrations, as illustrated in Fig. 4 and in the DV clip. Arterial diameter decreased more rapidly and to a greater extent than at lower PE concentration. The Ca2+ in the arterial wall was remarkably uniform during the decrease in diameter. During the oscillatory vasomotion, the peaks of the intracellular Ca2+ transients in different cells all coincided with each other and with the point of maximum diameter (relaxation). In seven isobaric arteries, the delay between peak Ca2+ and minimum diameter (maximum vasoconstriction) at concentrations of PE ranging from 300 nM to 3.0 µM was 3.0 to 19.9 s (8.17 ± 0.38 s). It has been reported that such oscillatory vasomotion requires an intact endothelium and a functional sarcoplasmic reticulum (SR) (14). To investigate the possible role of nitric oxide (NO) in these Ca2+ transients, we preincubated (1 h) the lumen of two arteries with inhibitors of NO synthesis (NG-nitro-L-arginine methyl ester, 30.0 µM). No oscillatory vasomotion could be elicited by PE in these arteries.


View larger version (43K):
[in this window]
[in a new window]
 
Fig. 4.   Synchronous Ca2+ transients and oscillatory vasomotion recorded simultaneously during the contraction of a pressurized (70 mmHg) rat mesenteric artery stimulated with PE (1.0 µM). A: radial view images of the arterial wall before (top), during (middle), and after removal (bottom) of PE. SMC are seen in cross section. Synchronous nature of these Ca2+ transients may be seen clearly in the accompanying DV clip (DV clip is available at the AJP: Heart and Circulatory Physiology web site). Images are of Ca2+-dependent fluo 4 fluorescence, as represented with the color bar. B,a: position of the arterial wall, as determined from images in A. Arrowheads indicate the peak of the synchronous Ca2+ transients in B,b, below. The peak of the Ca2+ transients coincided with the maximum diameter during the oscillatory vasomotion. B,b: red, green, and black traces indicate average fluorescence from three identified cells that could be followed throughout the experiment.

Ca2+ sparks and Ca2+ waves during adrenergic activation. The radial sections shown in Figs. 3 and 4 do not reveal whether the asynchronous Ca2+ transients are actually propagating Ca2+ waves or what effect adrenergic activation might have on Ca2+ sparks. Therefore, we used arteries mounted on glass cannulas so that tangential sections could be obtained. Figure 5 illustrates the effects of exposure to high concentrations of PE on the frequency of Ca2+ sparks and illustrates the Ca2+ waves that occurred upon exposure to PE. The three images in Fig. 5A were obtained before, at 2 min during exposure to PE at a concentration of 5.0 µM, and 4 min after removal of PE. A Ca2+ transient was identified as a "wave" if it exhibited a constant propagation velocity for at least 20 µm. The frequency of Ca2+ sparks was obtained from images such as those in Fig. 5A by counting the number of Ca2+ sparks and dividing by the total time of scanning of the image (usually 1.5 s) and then by the total distance scanned (usually 50 µm). To be counted as a "spark," a local Ca2+ transient had to have a width at half-maximum of <5.0 µm and a peak amplitude (in terms of fluorescence ratio, Delta F/F0) of at least 1.3. Figure 5B shows the spark frequency (in each frame) as a function of time before, during, and after the exposure to PE in a typical experiment. Under the control conditions, the average frequency of Ca2+ sparks in six arteries during a 100-s period was 0.025 ± 0.0064 sparks · s-1 · µm-1. During the third and fourth minutes of exposure to PE (120 s), the spark frequency declined to a significantly different level, 0.0130 ± 0.0033 sparks · s-1 · µm-1 (paired t-test, P < 0.016). Histograms of the peak amplitudes (Delta F/F0) of the sparks are shown in Fig. 5C. No differences were found in the distribution of peak amplitudes. As a control experiment, arteries were also exposed to 30 mM KCl. In this case, the frequency of Ca2+ sparks increased dramatically, as expected if Ca2+ sparks are activated by the entry of Ca2+ through L-type Ca2+ channels (17, 21). Thus, although PE results in depolarization, a separate mechanism must exist that reduces Ca2+ spark frequency. During the exposure to PE, the Ca2+ transients were revealed to be propagating Ca2+ waves of the type shown in Fig. 5A, middle. The average velocity of the front of such waves in four arteries exposed to PE at a concentration of 5.0 µM was 32.4 ± 1.7 µm/s (73 waves). The waves were asynchronous between cells and did not propagate between cells.


View larger version (37K):
[in this window]
[in a new window]
 
Fig. 5.   Ca2+ sparks and Ca2+ waves recorded with randomized confocal line scanning during activation of an isometric artery by PE. A: representative random line-scan images before (a), during (b), and after (c) exposure to PE (3.0 µM). Images are of fluorescence intensity, indicating Ca2+-dependent fluo 4 fluorescence, as represented with the color bar ([Ca2+] increases with color from bottom to top). B: representative recording of the effect of PE on the frequency of spontaneous Ca2+ sparks (in sparks per second per micrometer of tissue scanned, or sparks · s-1 · µm-1) in a single artery. The probability of spark occurrence declined slowly after exposure to PE and recovered slowly upon its removal. C: amplitude frequency histograms for Ca2+ sparks in presence and absence of PE. There was no difference in the relative probability of finding Ca2+ sparks of a given peak amplitude under control conditions and in the presence of PE, although the absolute probability of spark occurrence was less in PE than in its absence.


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

The results support a model of adrenergic constriction of pressurized arteries in which asynchronous propagating Ca2+ waves underlie vasoconstriction at low levels of adrenergic activation and spatially uniform, synchronous Ca2+ transients underlie oscillatory vasomotion at high levels of activation. We suggest below that these two types of Ca2+ signals are fundamentally different in their mechanisms of origin and in their role as Ca2+ signals for force production. An additional component of Ca2+ signaling is the decline in the frequency of Ca2+ sparks during adrenergic activation. This may be expected to enhance vasoconstriction by further depolarizing the SMC, consequent to a reduction of Ca2+-activated hyperpolarizing membrane currents (25). Other possible components of Ca2+ signaling in arterial smooth muscle, such as the spontaneous Ca2+ "ripples" and "flashes" reported in wide-field imaging studies (1) were not observed in the present study, as discussed further below.

Developing and steady vasoconstriction: asynchronous, propagating Ca2+ waves. The initial release of Ca2+ and the asynchronous propagating Ca2+ waves in the isobaric arteries we studied are almost certainly dependent on ryanodine receptors and release of Ca2+ from the SR (2). Agonist activation of single isolated mesenteric artery myocytes with norepinephrine has shown brief Ca2+ transients (4, 5) dependent on SR function. Ca2+ waves, dependent on SR function, were elicited by norepinephrine in isolated venous myocytes (6). Propagating Ca2+ waves have also been recorded from isometric preparations of the rabbit inferior vena cava (28). The initial Ca2+ release after PE stimulation tends to occur synchronously between cells in the optical section and can account for the initial Ca2+ "spike" observed in previous studies that did not utilize confocal imaging techniques. The asynchronous waves that follow may then account for the lower levels of average Ca2+ seen in nonimaging studies (18), because asynchronous Ca2+ transients would not "sum" effectively. Average [Ca2+] would therefore be low, despite the existence of asynchronous Ca2+ transients. The decline in average Ca2+ recorded previously has been taken to indicate the development of Ca2+-independent mechanisms of force generation or the development of Ca2+ sensitization of the contractile proteins. Our experiments show that propagating Ca2+ waves continue to occur within individual SMC in the presence of PE concentration. This raises the possibility that Ca2+ is still playing a role, although the efficacy of these Ca2+ waves in activating force remains unknown. During the time when Ca2+ waves are asynchronous, the diameter may be fairly constant. Individual SMC did not appear to move independently of the arterial wall.

Vasomotion: synchronous Ca2+ oscillations. An important component of the adrenergic response is the vasomotion and the slow, spatially uniform, synchronous Ca2+ transients that can be seen in isobaric arteries in the presence of higher concentrations of PE. As mentioned, early studies of Ca2+ signals during adrenergic activation generally showed that average arterial wall [Ca2+]i rose and then fell to a low maintained level, although oscillations in arterial wall [Ca2+] were sometimes seen (29). The present study is the first to utilize high-resolution imaging of Ca2+ in individual SMC during vasomotion. The synchronous Ca2+ oscillations we observed in the SMC were "phase-locked" to the vasomotion. The peak of Ca2+ elevation did not occur at the point of maximum vasoconstriction but instead during the relaxed phase of the diameter changes. The timing and synchronous nature of the Ca2+ elevations during vasomotion strongly suggests that the mechanism of generation involves primarily changes in membrane potential (which should be "synchronous" in different SMC). Oscillatory force production is known to be accompanied by oscillations in membrane potential (15). Depolarization could allow for coordinated L-type Ca2+ channel activation and Ca2+ influx (26). The mechanisms of oscillatory contractions or vasomotion (13) are still obscure, although it is known that vasomotion in the rat mesenteric artery requires endothelial NO release and subsequent elevation of cGMP levels in the SMC (14). Adrenergic vasoconstriction of the rat arterial mesenteric bed in situ is also associated with release of both NO and cGMP (8). It has been suggested that the stimulus for the production of NO in this case is either a rise in endothelial cell [Ca2+], produced by Ca2+ diffusing from SMC through myoendothelial gap junctions (11), or an elevation of shear stress. Shear stress was not a factor in our experiments because flow was not occurring. Regardless of the stimulus for NO production, it seems likely that NO diffuses from endothelial cells to the SMC, where it stimulates the production of cGMP and inhibits Ca2+ entry through L-type Ca2+ channels (3). The mechanism of oscillatory changes in membrane potential is not known in detail. Nevertheless, we postulate that the origin of the slow, synchronous Ca2+ transients involves changes in membrane potential, because only this agent would seem capable of synchronizing the activity of all the cells.

Regardless of the mechanism of generation of the synchronous Ca2+ oscillations, their function is more easily identified. Synchronous Ca2+ oscillations are always present during vasomotion and were never observed in arteries that did not exhibit some degree of vasomotion. Although Ca2+ sensitization of the contractile proteins may develop during prolonged adrenergic activation, synchronous Ca2+ oscillations underlie the oscillatory force production that generates the oscillatory changes in diameter.

Other types of Ca2+ signals during adrenergic stimulation. Recently, two other types of spontaneous Ca2+ signals, "ripples" and "flashes," have been observed with the use of wide-field fluorescence microscopy, in muscle cells of the rat tail artery (1). It was suggested that the Ca2+ ripples are generated via inositol 1,4,5-trisphosphate-induced Ca2+ release in response to locally produced angiotensin II. It is possible that the frequency of ripples or proportion of SMC generating Ca2+ ripples and flashes could be affected by adrenergic stimulation. In the present study, however, we did not seek to determine any such possible effects. Interestingly, the amplitude of the Ca2+ ripples was reported to be about 0.04 (Delta F/F0) in peak amplitude and the Ca2+ oscillations induced by norepinephrine in that study were reported to have an average amplitude (Delta F/F0) of just <0.4. This is far less than the peak amplitude of the synchronous Ca2+ oscillations illustrated in Fig. 3B,b (~2.4 Delta F/F0). The quantitative difference in the apparent amplitude of the adrenergically stimulated Ca2+ transients in the two studies may reflect differences in the optical techniques used (viz. confocal vs. wide-field microscopy) or in the preparations (isobaric vs. isometric).

Effects of adrenergic stimulation on Ca2+ sparks. We observed that adrenergic activation decreased the frequency of Ca2+ sparks. This is in accord with the fact that activators of protein kinase C (which is activated during adrenergic stimulation) decrease Ca2+ spark frequency (7). It has been postulated that this is a direct effect on the ryanodine receptors, because the Ca2+ content of the SR (which would affect Ca2+ spark frequency) was not affected by activators of PKC (7). The effects of adrenergic activation on Ca2+ sparks within intact arteries that we have observed could be more complex, however, because Ca2+ content of the SR is believed to decline during adrenergic activation (4, 5) and because of possible effects other than activation of PKC, such as depolarization and increased availability of L-type Ca2+ channels.


    ACKNOWLEDGEMENTS

We gratefully acknowledge the assistance of Dr. Victor A. Miriel in helping to develop methods for studying isobaric arteries and of M. R. Saunders for help with video editing.


    FOOTNOTES

This study was supported by National Institutes of Health Research Grant HL-60748 (to W. G. Wier) and by Training Grant AR-07592 to the University of Maryland Training Program in Muscle Biology.

Address for reprint requests and other correspondence: W. G. Wier, Dept. of Physiology, Univ. of Maryland, Baltimore, 655 West Baltimore St., Baltimore, MD 21201 (E-mail: gwier001{at}umaryland.edu).

1 Supplemental material to this article (DV clips of Figs. 1, 3A, and 4A) is availale online at http://ajpheart.physiology.org/cgi/content/full/280/5/H2399/DC1.

The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Received 17 October 2000; accepted in final form 30 January 2001.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

1.   Asada, Y, Yamazawa T, Hirose K, Takasaka T, and Iino M. Dynamic Ca2+ signaling in rat arterial smooth muscle cells under the control of local renin-angiotensin system. J Physiol (Lond) 521.2: 497-506, 1999[Abstract/Free Full Text].

2.   Blatter, LA, and Wier WG. Agonist-induced [Ca2+]i waves and Ca2+-induced Ca2+ release in mammalian vascular smooth muscle cells. Am J Physiol Heart Circ Physiol 263: H576-H586, 1992[Abstract/Free Full Text].

3.   Blatter, LA, and Wier WG. Nitric oxide decreases [Ca2+]i in vascular smooth muscle by inhibition of the calcium current. Cell Calcium 15: 122-131, 1994[Web of Science][Medline].

4.   Baro, I, and Eisner D. The effects of thapsigargin on [Ca2+]i in isolated rat mesenteric artery vascular smooth muscle cells. Pflügers Arch 420: 115-117, 1992[Web of Science][Medline].

5.   Baro, I, O'Neill SC, and Eisner DA. Changes of intracellular [Ca2+] during refilling of sarcoplasmic reticulum in rat ventricular and vascular smooth muscle. J Physiol (Lond) 465: 21-41, 1993[Abstract/Free Full Text].

6.   Boittin, FX, Macrez N, Halet G, and Mironneau J. Norepinephrine-induced Ca2+ waves depend on InsP3 and ryanodine receptor activation in vascular myocytes. Am J Physiol Cell Physiol 277: C139-C151, 1999[Abstract/Free Full Text].

7.   Bonev, AD Jaggar JH, Rubart M, and Nelson MT. Activators of protein kinase C decrease Ca2+ spark frequency in smooth muscle cells from cerebral arteries. Am J Physiol Cell Physiol 273: C2090-C2095, 1997[Abstract/Free Full Text].

8.   Boric, MP, Figueroa XF, Donoso MV, Paredes A, Poblete I, and Huidobro-Toro JP. Rise in endothelium-derived NO after stimulation of rat perivascular sympathetic mesenteric nerves. Am J Physiol Heart Circ Physiol 277: H1027-H1035, 1999[Abstract/Free Full Text].

9.   Chen, XL, and Rembold CM. Phenylephrine contracts rat tail artery by one electromechanical and three pharmacomechanical mechanisms. Am J Physiol Heart Circ Physiol 268: H74-H81, 1995[Abstract/Free Full Text].

10.   Dessy, C, Matsuda N, Hulvershorn J, Sougnez CL, Sellke FW, and Morgan KG. Evidence for involvement of the PKC-alpha isoform in myogenic contractions of the coronary microcirculation. Am J Physiol Heart Circ Physiol 279: H916-H923, 2000[Abstract/Free Full Text].

11.   Dora, KA, Doyle MP, and Duling BR. Elevation of intracellular calcium in smooth muscle causes endothelial cell generation of NO in arterioles. PNAS 94: 6529-6534, 1997[Abstract/Free Full Text].

12.   Duling, BR, Gore RW, Dacey RG, and Damon DN. Methods for isolation, cannulation and in vitro study of single microvessels. Am J Physiol Heart Circ Physiol 241: H108-H116, 1981[Abstract/Free Full Text].

13.   Gustafsson, H. Vasomotion and underlying mechanisms in small arteries. Acta Physiol Scand Suppl 614: 2-44, 1993.

14.   Gustafsson, H, Mulvany MJ, and Nilsson H. Rhythmic contractions of isolated small arteries from rat: influence of the endothelium. Acta Physiol Scand 143: 153-163, 1993.

15.   Gustafsson, H, and Nilsson H. Rhythmic contractions of isolated small arteries from rat: role of calcium. Acta Physiol Scand 149: 283-291, 1993[Web of Science][Medline].

16.   Iino, M, Kasai H, and Yamazawa T. Visualization of neural control of intracellular Ca2+ concentration in single vascular smooth muscle cells in situ. EMBO J 13: 5026-5031, 1994[Web of Science][Medline].

17.   Jaggar, JH, Stevenson AS, and Nelson MT. Voltage dependence of Ca2+ sparks in intact cerebral arteries. Am J Physiol Cell Physiol 274: C755-C761, 1998.

18.   Jiang, MJ, and Morgan KG. Agonist-specific myosin phosphorylation and intracellular calcium during isometric contractions of arterial smooth muscle. Pflügers Arch 413: 637-643, 1989[Web of Science][Medline].

19.   Kasai, Y, Yamazawa T, Sakurai T, Taketani T, and Iino M. Endothelium-dependent frequency modulation of Ca signalling in individual vascular smooth muscle cells of the rat. J Physiol (Lond) 504: 349-357, 1997[Abstract/Free Full Text].

20.   Knot, HJ, and Nelson MT. Regulation of arterial diameter and wall [Ca2+] in cerebral arteries of rat by membrane potential and intravascular pressure. J Physiol (Lond) 508: 199-209, 1998[Abstract/Free Full Text].

21.   Lopez-Lopez, JR, Shacklock PS, Balke CW, and Wier WG. Local calcium transients triggered by single L-type calcium channel currents in cardiac cells. Science 268: 1042-1045, 1995[Abstract/Free Full Text].

22.   Martinez, MC, Randriamboavonjy V, Ohlmann P, Komas N, Duarte J, Schneider F, Stoclet JC, and Andriantsitohaina R. Involvement of protein kinase C, tyrosine kinases, and Rho kinase in Ca2+ handling of human small arteries. Am J Physiol Heart Circ Physiol 279: H1228-H1238, 2000[Abstract/Free Full Text].

23.   Meininger, GA, Zawieja DC, Falcone JC, Hill MA, and Davey JP Calcium measurement in isolated arterioles during myogenic and agonist stimulation. Am J Physiol Heart Circ Physiol 261: H950-H959, 1991[Abstract/Free Full Text].

24.   Miriel, V, Mauban JRH, Blaustein MP, and Wier WG. Local and cellular Ca2+ transients in smooth muscle of pressurized rat resistance arteries during myogenic and agonist stimulation. J Physiol (Lond) 518.3: 815-824, 1999[Abstract/Free Full Text].

25.   Nelson, MT, Cheng H, Rubart M, Santana LF, Bonev AD, Knot HJ, and Lederer WJ. Relaxation of arterial smooth muscle by calcium sparks. Science 270: 633-637, 1995[Abstract/Free Full Text].

26.   Nilsson, H, Videbaek LM, Toma C, and Mulvany MJ. Role of intracellular calcium for noradrenaline-induced depolarization in rat mesenteric small arteries. J Vasc Res 35: 36-44, 1998[Web of Science][Medline].

27.   Parker, I, Callamaras N, and Wier WG. A high-resolution, confocal laser-scanning microscope and flash photolysis system for physiological studies. Cell Calcium 21: 441-452, 1997[Web of Science][Medline].

28.   Ruehlman, DO, Lee CH, Poburko D, and Van Breemen C. Asynchronous Ca2+ waves in intact venous smooth muscle. Circ Res 86: e72-e79, 2000[Abstract/Free Full Text].

29.   Shimamura, K, Sekiguchi F, and Sunano S. Tension oscillation in arteries and its abnormality in hypertensive animals. Clin Exp Pharmacol Physiol 26: 275-284, 1999[Web of Science][Medline].

30.   Van Bavel, E, and Mulvany MJ. Role of wall tension in the vasoconstrictor response of cannulated rat mesenteric small arteries. J Physiol (Lond) 477.1: 103-115, 1994[Abstract/Free Full Text].

31.   Van Bavel, E, Wesselman JPM, and Spaan JAE Myogenic activation and calcium sensitivity of cannulated rat mesenteric small arteries. Circ Res 82: 210-220, 1998[Abstract/Free Full Text].

32.   Wier, WG, Balke CW, Michael JA, and Mauban JRH A custom confocal and two-photon digital laser scanning microscope. Am J Physiol Heart Circ Physiol 278: H2150-H2156, 2000[Abstract/Free Full Text].

33.  Zang W-J and Wier WG. Ca2+ oscillations in rat resistance arteries during alpha 1-adrenoceptor activation. Cell Calcium. In press.


Am J Physiol Heart Circ Physiol 280(5):H2399-H2405
0363-6135/01 $5.00 Copyright © 2001 the American Physiological Society



This article has been cited by other articles:


Home page
Exp PhysiolHome page
W. G. Wier, W.-j. Zang, C. Lamont, and H. Raina
Sympathetic neurogenic Ca2+ signalling in rat arteries: ATP, noradrenaline and neuropeptide Y
Exp Physiol, January 1, 2009; 94(1): 31 - 37.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Cell Physiol.Home page
G. Zhao, A. Adebiyi, E. Blaskova, Q. Xi, and J. H. Jaggar
Type 1 inositol 1,4,5-trisphosphate receptors mediate UTP-induced cation currents, Ca2+ signals, and vasoconstriction in cerebral arteries
Am J Physiol Cell Physiol, November 1, 2008; 295(5): C1376 - C1384.
[Abstract] [Full Text] [PDF]


Home page
J. Physiol.Home page
M. J. Berridge
Smooth muscle cell calcium activation mechanisms
J. Physiol., November 1, 2008; 586(21): 5047 - 5061.
[Abstract] [Full Text] [PDF]


Home page
Phil Trans R Soc AHome page
J. C. B. Jacobsen, C. Aalkjaer, V. V Matchkov, H. Nilsson, J. J Freiberg, and N.-H. Holstein-Rathlou
Heterogeneity and weak coupling may explain the synchronization characteristics of cells in the arterial wall
Phil Trans R Soc A, October 13, 2008; 366(1880): 3483 - 3502.
[Abstract] [Full Text] [PDF]


Home page
Physiol. Rev.Home page
H. Cheng and W. J. Lederer
Calcium Sparks
Physiol Rev, October 1, 2008; 88(4): 1491 - 1545.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Lung Cell. Mol. Physiol.Home page
J. F. Perez-Zoghbi and M. J. Sanderson
Endothelin-induced contraction of bronchiole and pulmonary arteriole smooth muscle cells is regulated by intracellular Ca2+ oscillations and Ca2+ sensitization
Am J Physiol Lung Cell Mol Physiol, October 1, 2007; 293(4): L1000 - L1011.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
J. C. B. Jacobsen, C. Aalkjaer, H. Nilsson, V. V. Matchkov, J. Freiberg, and N.-H. Holstein-Rathlou
A model of smooth muscle cell synchronization in the arterial wall
Am J Physiol Heart Circ Physiol, July 1, 2007; 293(1): H229 - H237.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
J. Zacharia, J. Zhang, and W. G. Wier
Ca2+ signaling in mouse mesenteric small arteries: myogenic tone and adrenergic vasoconstriction
Am J Physiol Heart Circ Physiol, March 1, 2007; 292(3): H1523 - H1532.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
R. E. Haddock, T. H. Grayson, T. D. Brackenbury, K. R. Meaney, C. B. Neylon, S. L. Sandow, and C. E. Hill
Endothelial coordination of cerebral vasomotion via myoendothelial gap junctions containing connexins 37 and 40
Am J Physiol Heart Circ Physiol, November 1, 2006; 291(5): H2047 - H2056.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
M. P. Burnham, I. T. Johnson, and A. H. Weston
Reduced Ca2+-dependent activation of large-conductance Ca2+-activated K+ channels from arteries of Type 2 diabetic Zucker diabetic fatty rats
Am J Physiol Heart Circ Physiol, April 1, 2006; 290(4): H1520 - H1527.
[Abstract] [Full Text] [PDF]


Home page
J. Physiol.Home page
J. Zhang, M. Y. Lee, M. Cavalli, L. Chen, R. Berra-Romani, C. W. Balke, G. Bianchi, P. Ferrari, J. M. Hamlyn, T. Iwamoto, et al.
Sodium pump {alpha}2 subunits control myogenic tone and blood pressure in mice
J. Physiol., November 15, 2005; 569(1): 243 - 256.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
N. Kotecha and M. A. Hill
Myogenic contraction in rat skeletal muscle arterioles: smooth muscle membrane potential and Ca2+ signaling
Am J Physiol Heart Circ Physiol, October 1, 2005; 289(4): H1326 - H1334.
[Abstract] [Full Text] [PDF]


Home page
J. Physiol.Home page
R. E Haddock and C. E Hill
Rhythmicity in arterial smooth muscle
J. Physiol., August 1, 2005; 566(3): 645 - 656.
[Abstract] [Full Text] [PDF]


Home page
JGPHome page
J. F. Perez and M. J. Sanderson
The Contraction of Smooth Muscle Cells of Intrapulmonary Arterioles Is Determined by the Frequency of Ca2+ Oscillations Induced by 5-HT and KCl
J. Gen. Physiol., May 31, 2005; 125(6): 555 - 567.
[Abstract] [Full Text] [PDF]


Home page
Pharmacol. Rev.Home page
R. Laporte, A. Hui, and I. Laher
Pharmacological Modulation of Sarcoplasmic Reticulum Function in Smooth Muscle
Pharmacol. Rev., December 1, 2004; 56(4): 439 - 513.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
J. R. H. Mauban and W. G. Wier
Essential role of EDHF in the initiation and maintenance of adrenergic vasomotion in rat mesenteric arteries
Am J Physiol Heart Circ Physiol, August 1, 2004; 287(2): H608 - H616.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
C. Lamont and W. G. Wier
Different roles of ryanodine receptors and inositol (1,4,5)-trisphosphate receptors in adrenergically stimulated contractions of small arteries
Am J Physiol Heart Circ Physiol, August 1, 2004; 287(2): H617 - H625.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Lung Cell. Mol. Physiol.Home page
W.-M. Zhang, K.-P. Yip, M.-J. Lin, L. A. Shimoda, W.-H. Li, and J. S. K. Sham
ET-1 activates Ca2+ sparks in PASMC: local Ca2+ signaling between inositol trisphosphate and ryanodine receptors
Am J Physiol Lung Cell Mol Physiol, September 1, 2003; 285(3): L680 - L690.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
M. Lamboley, A. Schuster, J.-L. Beny, and J.-J. Meister
Recruitment of smooth muscle cells and arterial vasomotion
Am J Physiol Heart Circ Physiol, July 11, 2003; 285(2): H562 - H569.
[Abstract] [Full Text] [PDF]


Home page
J. Physiol.Home page
C. Lamont, E. Vainorius, and W G. Wier
Purinergic and adrenergic Ca2+ transients during neurogenic contractions of rat mesenteric small arteries
J. Physiol., June 15, 2003; 549(3): 801 - 808.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
T. J. Heppner, A. D. Bonev, L. F. Santana, and M. T. Nelson
Alkaline pH shifts Ca2+ sparks to Ca2+ waves in smooth muscle cells of pressurized cerebral arteries
Am J Physiol Heart Circ Physiol, December 1, 2002; 283(6): H2169 - H2176.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
G. Lagaud, V. Karicheti, Harm. J. Knot, G. J. Christ, and I. Laher
Inhibitors of gap junctions attenuate myogenic tone in cerebral arteries
Am J Physiol Heart Circ Physiol, December 1, 2002; 283(6): H2177 - H2186.
[Abstract] [Full Text] [PDF]


Home page
J. Physiol.Home page
R E Haddock and C E Hill
Differential activation of ion channels by inositol 1,4,5-trisphosphate (IP3)- and ryanodine-sensitive calcium stores in rat basilar artery vasomotion
J. Physiol., December 1, 2002; 545(2): 615 - 627.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
W. Pajk, B. Schwarz, H. Knotzer, B. Friesenecker, A. Mayr, M. Dunser, and W. Hasibeder
Jejunal tissue oxygenation and microvascular flow motion during hemorrhage and resuscitation
Am J Physiol Heart Circ Physiol, December 1, 2002; 283(6): H2511 - H2517.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
J. Zhang, W. G. Wier, and M. P. Blaustein
Mg2+ blocks myogenic tone but not K+-induced constriction: role for SOCs in small arteries
Am J Physiol Heart Circ Physiol, December 1, 2002; 283(6): H2692 - H2705.
[Abstract] [Full Text] [PDF]


Home page
J. Physiol.Home page
D V Gordienko and T B Bolton
Crosstalk between ryanodine receptors and IP3 receptors as a factor shaping spontaneous Ca2+-release events in rabbit portal vein myocytes
J. Physiol., August 1, 2002; 542(3): 743 - 762.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Lung Cell. Mol. Physiol.Home page
C. V. Remillard, W.-M. Zhang, L. A. Shimoda, and J. S. K. Sham
Physiological properties and functions of Ca2+ sparks in rat intrapulmonary arterial smooth muscle cells
Am J Physiol Lung Cell Mol Physiol, August 1, 2002; 283(2): L433 - L444.
[Abstract] [Full Text] [PDF]


Home page
J. Physiol.Home page
K. L Brain, V M. Jackson, S. J Trout, and T. C Cunnane
Intermittent ATP release from nerve terminals elicits focal smooth muscle Ca2+ transients in mouse vas deferens
J. Physiol., June 15, 2002; 541(3): 849 - 862.
[Abstract] [Full Text] [PDF]


Home page
Am. J. Physiol. Heart Circ. Physiol.Home page
C.-H. Lee, D. Poburko, K.-H. Kuo, C. Y. Seow, and C. van Breemen
Ca2+ oscillations, gradients, and homeostasis in vascular smooth muscle
Am J Physiol Heart Circ Physiol, May 1, 2002; 282(5): H1571 - H1583.
[Abstract] [Full Text] [PDF]


This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Supplemental Videos
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Right arrow Citation Map
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in Web of Science
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Download to citation manager
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Web of Science (66)
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Mauban, J. R. H.
Right arrow Articles by Wier, W. G.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by Mauban, J. R. H.
Right arrow Articles by Wier, W. G.


HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS
Visit Other APS Journals Online