Vol. 275, Issue 2, R574-R579, August 1998
Abnormal platelet Ca2+
handling accompanied by increased cytosolic free
Mg2+ in essential
hypertension
Hiroyuki
Hiraga,
Tetsuya
Oshima,
Mitsuisa
Yoshimura,
Hideo
Matsuura, and
Goro
Kajiyama
First Department of Internal Medicine and Department of Clinical
Laboratory Medicine, Hiroshima University School of Medicine, Hiroshima
734, Japan
 |
ABSTRACT |
To test the
hypothesis that abnormal platelet
Ca2+ handling in essential
hypertension results from cellular
Mg2+ deficiency, cytosolic free
Mg2+ concentration
([Mg2+]i)
and Ca2+ metabolism were studied
in mag-fura 2 and fura 2-loaded platelets from 30 essential
hypertensive patients and 30 sex- and age-matched normotensive
controls. Basal cytosolic free
Ca2+ concentration
([Ca2+]i)
and intracellular Ca2+ discharge
capacity were higher in hypertensives than in normotensives (22 ± 5 vs. 18 ± 5 nM, P < 0.05; 743 ± 250 vs. 624 ± 144 nM, P < 0.05, respectively). The thrombin (0.03-1.0 U/ml)-evoked
[Ca2+]i
response was also enhanced in platelets from hypertensives in both the
absence and presence of extracellular
Ca2+. However, basal
[Mg2+]i
was higher in hypertensives than in normotensives (437 ± 110 vs.
353 ± 85 µM, P < 0.05),
whereas serum Mg2+ was similar in
the two groups. These results oppose the
Mg2+ deficiency hypothesis in
platelets in essential hypertension.
platelets; mag-fura 2; fura 2
 |
INTRODUCTION |
IN THE LAST SEVERAL DECADES, abnormal
Ca2+ handling in many cell types
from human subjects and animal models of primary hypertension has been
reported and proposed as a factor in the pathogenesis of hypertension.
Platelets are often used in the study of cellular cation metabolism in
hypertension, because they are readily available for study and are
thought to share a number of features with vascular smooth muscle cells
(20). Most investigators have reported that basal levels of cytosolic
free Ca2+ concentration
([Ca2+]i)
are higher in human subjects with essential hypertension than in
normotensive subjects (5, 8, 11, 16, 30) and that there is a positive
correlation between blood pressure and platelet [Ca2+]i
(5, 11). However, the reported values for hypertensives and
normotensives cited in these studies vary widely, probably because of
methodological differences. The mechanisms that contribute to evoked
[Ca2+]i
under stimulated conditions differ from those that regulate basal
[Ca2+]i,
and it is unclear whether the small difference between cells from
hypertensives and those from normotensives in basal
[Ca2+]i
reflects a difference in the activated state associated with cell
function. Therefore measurements of both basal
[Ca2+]i
and
[Ca2+]i
responses to agonists are important for any analysis of abnormalities in cellular Ca2+ handling.
Mg2+ has recently been reported to
play an important role in the pathogenesis of essential hypertension.
Altura et al. (1) reported that a deficiency in dietary
Mg2+ can cause hypertension.
Joffers et al. (15) showed an inverse relationship between dietary
intake of Mg2+ and blood pressure.
Because cellular Mg2+ is an
essential cofactor in many cell functions, it is possible that abnormal
Mg2+ handling at the cellular
level may cause elevated blood pressure in hypertensive patients.
Mg2+ deficiency has been reported to occur at both the
serum and intraerythrocyte levels in hypertensives (28, 29), but serum
or intraerythrocyte total magnesium may not accurately represent
cellular magnesium activity (4). Because serum magnesium represents
<1% of total body magnesium and protein-bound and anion complex
magnesium is unavailable for biochemical processes, it is important to
evaluate the levels of cytosolic free magnesium concentration
([Mg2+]i)
exhibiting biological activity.
To test the hypothesis that a deficiency of
[Mg2+]i
is involved in abnormal Ca2+
handling as the pathogenesis of essential hypertension, we compared platelet
[Mg2+]i
and
[Ca2+]i
between essential hypertensive patients and normotensive controls.
 |
MATERIALS AND METHOD |
Subjects.
We studied 30 patients with essential hypertension (15 men, 15 women,
mean age 51 ± 11 yr) and 30 sex- and age-matched normotensive controls (15 men, 15 women, mean age 50 ± 13 yr). Normotensive controls were recruited from healthy subjects who underwent annual physical examinations. Hypertension was defined as systolic blood pressure
160 mmHg and/or diastolic blood pressure
95 mmHg on each
of three consecutive clinical visits. We measured blood pressure with a
mercury sphygmomanometer in sitting subjects at least five times during
each clinical visit and used the average value of these measurements.
The blood pressure in normotensives was consistently <140/90 mmHg.
None of the hypertensives or normotensives had received any medication
for at least 4 wk before the study. Subjects with secondary forms of
hypertension were excluded by careful clinical examination.
Hypertensive patients and normotensive controls were maintained on a
regular diet with an intake of 170 mmol/day NaCl to allow stabilization
of the systemic Na+ balance, and
they ingested constant amounts of
K+ (2,000 mg/day),
Ca2+ (500 mg/day), and calories
(40 kcal/kg) for 7 days before the study. Venous blood was collected
from fasting and resting subjects, slowly and steadily via a 19-gauge
needle into a syringe containing 3.8% trisodium citrate (1:9 by vol,
total 30 ml), using a two-syringe method (21) to separate platelets for
measurement of
[Mg2+]i
and
[Ca2+]i.
Blood samples were centrifuged at room temperature for 5 min at 800 g, and
[Mg2+]i
and
[Ca2+]i
were measured by use of the resultant platelet-rich plasma. To minimize
any time-dependent effects on platelet responsiveness and leakage of
dyes, measurements of platelet
[Mg2+]i
and
[Ca2+]i
were performed separately by two independent investigators (HH measured
[Ca2+]i;
MY measured
[Mg2+]i)
in the same blood samples within 2 h after blood collection. Serum
concentrations in electrolytes and lipids and mean platelet volume were
measured by automated methods, and plasma renin activity and plasma
aldosterone concentration were assayed by RIA in another blood sample.
Measurement of platelet
[Ca2+]i.
Platelet
[Ca2+]i
was measured as described previously (13, 21, 22). In short,
platelet-rich plasma prepared as described above was layered onto a
Sepharose 2B-CL column (Pharmacia LKB Biotechnology, Uppsala, Sweden)
that had been equilibrated with medium containing (in mM) 145 NaCl, 10 HEPES, 5 KCl, 5 glucose, and 1 MgSO4 (pH 7.4) at room
temperature. Washed platelets were eluted from this column with buffer
and incubated at 37°C with 1 µM fura 2-AM (Molecular Probes,
Eugene, OR) and 0.02% Pluronic F-127 (Molecular Probes) for 30 min at
a platelet concentration of 108
cells/ml. After platelets had again been washed by gel filtration to
remove any extracellular fura 2-AM, the platelet count was adjusted to
107 cells/ml, and
CaCl2 was added to the cell
suspension at a final concentration of 1 mM. Incubation at 37°C for
7 min was performed to complete the hydrolysis of fura 2-AM, and
platelet suspensions were then placed in cuvettes with stirrers at
37°C. Fluorescence was measured with a dual-excitation wavelength
fluorometer (RF-5000, Shimadzu, Kyoto, Japan), using excitation
wavelengths of 340 and 380 nm and an emission wavelength of 510 nm.
After fluorescence in the basal state had been recorded, the
[Ca2+]i
responses to thrombin (0.03, 0.1, 0.3, and 1.0 U/ml; Sigma Chemical,
St. Louis, MO) were measured in the presence of 1 mM extracellular
Ca2+ and in
Ca2+-free buffer prepared by the
addition of 10 mM EGTA (Dojindo Laboratories, Kumamoto, Japan; Fig.
1). The discharge capacity of
Ca2+ from intracellular storage
sites was estimated by the
[Ca2+]i
response to 5 µM ionomycin (Sigma) in the
Ca2+-free medium (13, 22).
[Ca2+]i
was calculated using the following equation from Grynkiewicz et al. (7)
|
|
where
Kd represents the
dissociation constant of fura 2 for
Ca2+ (224 nM) and
Rmax and
Rmin are the ratios of
fluorescence at 340 and 380 nm under
Ca2+-saturated and
Ca2+-free conditions,
respectively. Sf and Sb are the fluorescence intensities at 380 nm for
fura 2 with concentrations of zero and excess Ca2+,
respectively. Rmax was determined
with 50 µM digitonin in the presence of 1 mM
Ca2+.
Rmin was then determined by the
addition of 10 mM EGTA after adjustment of pH to 8.3 with 30 mM Tris.
Corrections were applied for extracellular fura 2 leaked from platelets
because of EGTA usage and for autofluorescence by subtracting the
fluorescence values of the unloaded platelets and test reagents (21,
22). Rapid initial drop in the fluorescence signal at 340 nm after EGTA
addition was considered to reflect the contribution of the extracellular dye as extracellular
Ca2+ was chelated. The ratio of
the fluorescence change after EGTA at pH 7.4 in intact cell
suspension to the change in the total dye in the tube (after cell lysis
with digitonin) was regarded as the percentage of extracellular dye in
the total dye (21). The calculated fluorescent signal of external dye
was then subtracted from the original signal in the cell suspension.
Cytosolic fura 2 concentration was estimated by comparing the
fluorescence signal at 340 nm in the presence of 1 mM
Ca2+ after cell lysis with that of
a known concentration of fura 2.

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Fig. 1.
Typical responses to thrombin (0.3 U/ml) in absence of extracellular
Ca2+ in fura 2-loaded platelets
from patients with essential hypertension (EHT) and normotensive
controls (NT).
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|
In the preliminary study, to determine whether citrate alone is
sufficient to prevent cell activation during the preparation of
platelets, we studied the effects of other anticoagulant agents on
Ca2+ handling by gel-filtered
platelets of essential hypertensives and normotensives. Platelet-rich
plasma was divided into two batches. Apyrase (20 µg/ml), hirudin
(0.05 U/ml), and PGI2 (1 µM)
were added to one batch, and no agent was added to the other batch. These conditions were maintained during fura 2 loading. After the cells
were gel filtered,
[Ca2+]i
was determined in the two batches. There was no effect of the anticoagulant cocktail on basal
[Ca2+]i
or thrombin (0.1 U/ml)-stimulated
[Ca2+]i
in seven subjects with essential hypertension (percentage of control:
101 ± 3 and 98 ± 5%, respectively) and eight
normotensive controls (100 ± 4 and 99 ± 4%,
respectively). We thus concluded that the use of citrate alone may be
sufficient to inhibit
[Ca2+]i
elevation induced by cell activation, when gel filtration is used to
separate platelets.
Measurement of platelet
[Mg2+]i.
The washed platelets were incubated at 37°C with 2 µM mag-fura
2-AM (Molecular Probes) and 0.02% Pluronic F-127 for 30 min at a
platelet concentration of ~5 × 107 cells/ml. Platelets were then
washed again to remove extracellular mag-fura 2-AM, and
CaCl2 was added at a final
concentration of 1 mM after resuspension of platelets in HEPES buffer
at a platelet concentration of 107
cells/ml. Platelet suspension (3 ml) was incubated at 37°C for 7 min to complete the hydrolysis of mag-fura 2-AM, and samples were then
placed in cuvettes and stirred magnetically at 37°C. Fluorescence
was measured with a dual-excitation wavelength fluorometer (DM3000CM,
SPEX, Edison, NJ), as described above.
[Mg2+]i
was calculated using the equation from Raju et al. (24)
where
Kd is 1.5 mM. As in the preliminary study (31), we confirmed that
Rmax after saturation of the
mag-fura 2 with 2 mM Ca2+ was
similar to that with 50 mM Mg2+
(35.6 ± 2.2 vs. 35.4 ± 1.8), and we obtained
Rmax by saturating the mag-fura 2 with Ca2+.
Rmax was therefore determined with
50 µM digitonin in the presence of 2 mM
Ca2+ and 1 mM
Mg2+.
Rmin was then determined by the
addition of 50 µM digitonin and 6 mM EDTA (Dojindo) after adjustment
of the pH to 8.3 with 7 mM Tris in the
Ca2+-free medium. Sf and Sb are
the fluorescence intensities at 380 nm for mag-fura 2 with
concentrations of zero and excess Mg2+, respectively.
Corrections were applied for extracellular mag-fura 2 leakage from
platelets by the use of 3 mM EDTA, which chelates extracellular
Mg2+, and for autofluorescence by
the method described above. Cytosolic mag-fura 2 concentration was
estimated by comparing the fluorescence signal at 340 nm in the
presence of 2 mM Ca2+ and 1 mM
Mg2+ after cell lysis with that of
a known concentration of mag-fura 2.
Statistics.
Data are presented as means ± SD. Statistical comparisons were made
using the Mann-Whitney U test. Curves
were compared by using ANOVA for repeated measures. Statistical
significance was defined as P < 0.05.
 |
RESULTS |
Basic information on the study subjects is shown in Table
1. There were no significant differences in
serum total cholesterol, triglyceride, high-density
lipoprotein-cholesterol, plasma renin activity, plasma aldosterone
concentration, or mean platelet volume between the hypertensive and
normotensive control groups. No differences were detected in the
concentrations of platelet intracellular mag-fura 2 or fura 2 (hypertensives vs. normotensives: 402 ± 42 vs. 390 ± 45, 493 ± 81 vs. 512 ± 61 µM, respectively) or in
extracellular leakage of mag-fura 2 or fura 2 (31.0 ± 4.4 vs. 30.0 ± 3.7, 8.6 ± 1.7 vs. 9.3 ± 1.7%),
Rmax of mag-fura 2 or fura 2 (31.9 ± 3.8 vs. 32.4 ± 3.5, 39.3 ± 10.0 vs. 35.7 ± 9.7), or
Rmin of mag-fura 2 or fura 2 (0.72 ± 0.02 vs. 0.73 ± 0.02, 0.83 ± 0.05 vs. 0.83 ± 0.05),
indicating that platelets were loaded with the dyes to a similar extent
in the two groups.
Platelet basal
[Ca2+]i
was significantly higher in the hypertensive group than in the
normotensive group (22.3 ± 5.3 vs. 17.8 ± 5.3 nM; Fig.
2), although there was a considerable
overlap in distribution between groups. Thrombin (0.03, 0.1, 0.3, and
1.0 U/ml)-evoked
[Ca2+]i
responses were significantly enhanced in the hypertensive group in the
presence or absence of extracellular
Ca2+ (Fig.
3, A and
B). Differences in
[Ca2+]i
increase between the presence and absence of extracellular Ca2+, representing thrombin-evoked
external Ca2+ influx, were also
enhanced in the hypertensive group (Fig.
3C); i.e., external
Ca2+ influx and discharge of
Ca2+ from intracellular stores
were both enhanced in thrombin-stimulated platelets from the
hypertensive group. The discharge capacity of
Ca2+ from intracellular storage
sites, which was assessed by the
[Ca2+]i response to
the addition of 5 µM ionomycin in a
Ca2+- free medium, was greater in
the hypertensive than the normotensive group (743.0 ± 250.4 vs.
624.2 ± 144.2 nM). However, basal
[Mg2+]i
was significantly higher in hypertensives than in normotensives (436.6 ± 109.9 vs. 353.0 ± 85.3 µM, Fig.
4), whereas serum total Mg2+ was similar in the two groups
(Table 1).

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Fig. 2.
Resting cytosolic free Ca2+
concentration
([Ca2+]i)
in platelets from EHT and NT subjects. Resting
[Ca2+]i
was significantly higher in EHT. Results are means ± SD.
* P < 0.05.
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Fig. 3.
Rise in platelet
[Ca2+]i
( [Ca2+]i)
in response to thrombin in presence (+; A) or absence
( ; B) of extracellular
Ca2+ and difference between
[Ca2+]i(+)
and
[Ca2+]i( )
(C), representing external
Ca2+ influx, in EHT and NT
subjects. Rise in
[Ca2+]i was
significantly greater in EHT than in NT using ANOVA for repeated
measures. * P < 0.05.
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Fig. 4.
Resting cytosolic free Mg2+
concentration
([Mg2+]i)
in platelets from EHT and NT subjects. Resting
[Mg2+]i
was significantly higher in EHT. Results are means ± SD.
* P < 0.05.
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 |
DISCUSSION |
We (19) and other investigators (5, 9) have reported an increase in the
intracellular concentration of Na+
and in basal
[Ca2+]i
in blood cells, such as platelets and lymphocytes, of subjects with
essential hypertension. In the present study, the basal
[Ca2+]i
in platelets was elevated in hypertensive subjects, confirming most
previous results (5, 8, 11, 16, 30). However, there was a considerable
overlap in distribution between hypertensives and normotensives. This
overlap may be due to the heterogeneity of essential hypertension,
which should not be regarded as a single disease entity. Essential
hypertensive patients have heterogeneity in several factors, such as
renin status (19), blood pressure level (5), age (2), and salt intake
(20), each of which may influence intracellular cation characteristics
and are difficult to control precisely.
The mechanisms that contribute to evoked
[Ca2+]i
under stimulated conditions are different from those regulating basal
[Ca2+]i.
Most previous reports have been limited to the measurement of basal
[Ca2+]i.
Even in a few previous studies with stimulated platelets, the status of
the
[Ca2+]i
response was controversial: an enhanced
[Ca2+]i
response to thrombin was reported by Lechi et al. (16) and to ANG II by
Touyz and Schiffrin (30) in platelets from hypertensive patients,
whereas Haller et al. (8) showed that the change in
[Ca2+]i
in response to thrombin was similar in platelets from hypertensives and
those from normotensives. In the present study, the evoked [Ca2+]i
responses to thrombin were enhanced in hypertensives, both in the
absence and presence of extracellular
Ca2+. Platelets from hypertensive
subjects exhibited not only an increase in basal
[Ca2+]i
but also an enhanced Ca2+
discharge from intracellular stores, an increase in
Ca2+ influx under
thrombin-stimulated conditions, and an increase in intracellular
Ca2+ discharge capacity.
We have repeatedly emphasized that methodological issues are important
in the assessment of
[Ca2+]i
and
[Mg2+]i
in fluorescent dye-loaded platelets (7, 13, 14, 18, 21). Accordingly,
the present study was carried out so as to minimize platelet activation
during blood collection by using a 19-gauge needle and a two-syringe
method. Attention must be paid to the possible activation of platelets
and the coagulation system under the conditions of blood collection.
Second, corrections were applied for extracellular leakage of dye,
which leads to overestimations of
[Ca2+]i
and
[Mg2+]i
in the presence of extracellular
Ca2+ and
Mg2+ when a cell suspension system
is used. Corrections for extracellular fura 2 should be made by using
EGTA in agonist-stimulated conditions. Because
Mn2+ enters platelets via the
Ca2+ channel,
MnCl2 may be unsuitable for
correction for dye leakage in estimating agonist responses. Third, in
any comparison of Mg2+ or
Ca2+ handling between
hypertensives and normotensives, all aspects of intracellular dye
metabolism, such as cytosolic fluorescent dye concentration and the
degree of hydrolysis of fluorescence, should be similar in the two
groups. The extent of dye ester hydrolysis affects fluorescence
dynamics. However, many investigators have failed to clearly define the
method of blood collection, correction for extracellular dye leakage,
and the comparison of fluorescent dye metabolism. In the many reports
concerning basal
[Ca2+]i
in human platelets, the findings have been variable, ranging from 20 to
200 nM (5, 8, 11, 13, 16, 30). Our basal [Ca2+]i
level probably reflects improved methods with minimal activation of
platelets and correction for dye leakage from platelets. Recent data
from careful investigations of methods have shown basal
[Ca2+]i
in human platelets as low as the level determined in our study (6, 11,
17, 27).
We have previously reported differences in abnormal
Ca2+ handling by fura 2-loaded
platelets from several types of hypertensive rats (12, 21, 23). Basal
[Ca2+]i
is increased in spontaneously hypertensive rats (21, 23) but decreased
in Dahl salt-sensitive and DOCA-salt hypertensive rats (12) and similar
in stroke-prone spontaneously hypertensive rats (17) compared with
those from normotensive control rats. The evoked
[Ca2+]i
responses to thrombin in the absence of extracellular
Ca2+ were enhanced in these three
strains of hypertensive rats, whereas in the presence of extracellular
Ca2+, the
[Ca2+]i
increase was enhanced in spontaneously hypertensive rats (21, 23),
decreased in Dahl salt-sensitive rats (12), and similar in DOCA-salt
rats compared with values in normotensive control rats. Thus
differences in platelet intracellular
Ca2+ handling exist between
strains of hypertensive rats, and platelets from models of hypertension
do not always show an elevation of [Ca2+]i.
However, platelets from essential hypertensive subjects may be
comparable to those from spontaneously hypertensive rats with respect
to basal
[Ca2+]i
and
[Ca2+]i
responses to thrombin.
Mg2+ is an important constituent
of cells and an essential cofactor in many cell functions, including
the regulation of receptor systems, transmembrane flux of cation, and
activation of cellular enzyme, since certain enzyme activity, including
Ca2+-ATPase and
Na+-K+-ATPase,
depends entirely on Mg2+ (3) and
Na+ transport and cellular
Ca2+ handling, which may be
affected by
[Mg2+]i
(25). Rat studies have shown that a deficiency of dietary Mg2+ is associated with the
development of hypertension (1). Epidemiological studies suggest an
inverse relationship between the dietary intake of
Mg2+ and blood pressure (15). One
could therefore hypothesize that an
Mg2+ deficiency is associated with
a decrease in Ca2+-ATPase and
Na+-K+-ATPase
activity, an elevated cytosolic
Ca2+ level, and hence an increase
in vascular resistance in hypertensive patients. To test this
hypothesis,
[Mg2+]i
and Ca2+ metabolism were studied
in platelets from hypertensive patients and normotensive controls
matched for age and gender. Unexpectedly, [Mg2+]i
was elevated significantly in platelets from patients with essential
hypertension; furthermore, serum total magnesium was similar in the
hypertensive and normotensive groups. Thus we could not support the
hypothesis that hypertension results from a cellular deficiency of
Mg2+.
Resnick et al. (26, 27) previously described a decrease in
intraerythrocyte concentration of free
Mg2+ in essential hypertension
based on studies employing nuclear magnetic resonance spectroscopy.
Results contrary to ours may be due to differences in the cells used
for
[Mg2+]i
measurement. Furthermore, a few previous reports (11, 30) using
mag-fura 2 have shown the decrease in
[Mg2+]i
in platelets from subjects with essential hypertension. This discrepancy may result from differences in the methods used, such as
isolation of platelets or correction for extracellular dye. In other
reports (28, 29), intracellular
Mg2+ measurement by atomic
absorption spectroscopy represents intracellular total magnesium
concentration, and this may not accurately reflect cellular
Mg2+ activity, since protein-bound and anion complex
magnesium are unavailable for biochemical processes, whereas free
Mg2+ does have biological
activity. Similarly, we could not find a significant difference between
hypertensives and normotensives in serum total magnesium, which may not
represent intracellular Mg2+
metabolism.
In summary, abnormal Ca2+
handling, including higher basal
[Ca2+]i,
enhanced thrombin-evoked
[Ca2+]i
responses in the presence or absence of extracellular
Ca2+, and a greater
Ca2+ discharge capacity was
observed in platelets from hypertensive patients. Platelet
[Mg2+]i
was higher in hypertensives than in normotensives. Our data appear to
negate the hypothesis that abnormal
Ca2+ handling in platelets from
hypertensive subjects results from a cellular
Mg2+ deficiency.
Perspectives
Mg2+ deficiency has been
recognized to be associated with the pathogenesis of several
cardiovascular diseases, such as arrhythmia and coronary heart disease.
Hypertension is an established risk factor for these cardiovascular
diseases. In the present study, we have clarified the increased
[Mg2+]i
in essential hypertension. Thus further studies are necessary to
clarify the relation between systemic
Mg2+ balance and cellular
Mg2+ metabolism. The
Mg2+ balance study might solve
this problem. Furthermore, the reason for increased
[Mg2+]i
in essential hypertension is not clear, since the precise mechanisms that regulate
[Mg2+]i
are not fully understood. Intracellular ATP concentration and Mg2+/Na+ exchanger are
reported to regulate
[Mg2+]i.
These factors should be studied in the cardiovascular diseases and
their risk factors.
 |
ACKNOWLEDGEMENTS |
We thank Y. Omura for secretarial assistance.
 |
FOOTNOTES |
This work was supported by Grants-in-Aid for Scientific Research
07407065 and 08457639 from the Ministry of Education, Science and
Culture of Japan, and by grants from the Kurozumi Medical Foundation of
Japan and the Clinical Pathology Research Foundation of Japan.
Address for reprint requests: H. Hiraga, First Dept. of Internal
Medicine, Hiroshima University School of Medicine, 1-2-3
Kasumi, Minami-ku, Hiroshima 734, Japan.
Received 27 November 1996; accepted in final form 1 April 1998.
 |
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