plasma hydroxy-metronidazole/metronidazole ratio can detect early changes in hepatic function in...
TRANSCRIPT
Plasma hydroxy-metronidazole/metronidazole ratio can detect earlychanges in hepatic function in ethanol-induced liver injury
C. M. F. DA SILVA*, F. L. DAVID*, M. N. MUSCARAÂ *, S. S. SOUSA*, J . G. P. FERRAZà ,
G. DE NUCCI§, N. C. POLIMENO & J. PEDRAZZOLI JR*
*Clinical Pharmacology and Gastroenterology Unit and Hemocentre, SaÄo Francisco University Medical School, BragancËa
Paulista, SP, Brazil; àDepartment of Internal Medicine, Faculty of Medical Sciences, UNICAMP, Campinas, SP, Brazil;
§Cartesius Analytical Unit, Department of Pharmacology, Institute of Biomedical Sciences, University of SaÄo Paulo, SaÄo
Paulo, SP, Brazil
Accepted for publication 5 May 1999
INTRODUCTION
The association of alcohol with liver cirrhosis has been
recognized since the 18th century, and a strong
correlation between alcohol consumption and high
mortality rates associated with cirrhosis has been
documented over the past 20 years.1 Indeed, in a
prospective survey of individuals with alcohol-induced
liver injury, more than half of those with cirrhosis and
two-thirds of those with cirrhosis plus alcohol-induced
hepatitis died within 48 months of the follow-up.2
A 38% 5-year survival has been reported for patients
with liver steatosis associated with chronic alcohol
consumption, with a 28% mortality rate, suggesting
that chronic alcohol intake can lead to severe life
threatening liver injury.3
Alcohol-induced liver cirrhosis can present in many
forms, and the absence of a past history of alcohol-
induced hepatitis is not uncommon in clinical practice.
As a result, diagnosis of the early stages of cirrhosis can
sometimes be dif®cult because the most common
complaints are uncharacteristic.1, 4 In addition, despite
the fact that clinical and laboratory ®ndings can provide
SUMMARY
Aims: To evaluate the usefulness of plasma hydroxy-
metronidazole/metronidazole (OH-MET/MET) ratios as a
dynamic liver function test in ethanol abusers with or
without liver cirrhosis.
Methods: Metronidazole was administered intravenously
for 20 min to healthy volunteers, and to patients with
alcohol-induced, non-cirrhotic hepatopathy and liver
cirrhosis. Plasma concentrations of metronidazole and
hydroxy-metronidazole were measured by high perfor-
mance liquid chromatography in samples collected 5, 10,
20 and 30 min after the metronidazole infusion.
Results: Patients with non-cirrhotic alcoholic hep-
atopathy had signi®cantly elevated aminotransferase
levels compared to healthy volunteers and Child A
patients. Child-Pugh C patients had signi®cantly
prolonged prothrombin times when compared to
healthy volunteers and patients with non-cirrhotic
hepatopathy. Metronidazole metabolism, as measured
by the OH-MET/MET ratio following the intravenous
administration of 500 mg of the drug, was signi®-
cantly impaired in all ethanol-abusing individuals,
including patients with non-cirrhotic alcoholic hep-
atopathy.
Conclusions: Metronidazole metabolism was impaired in
ethanol abusers, even in the absence of liver cirrhosis,
indicating that ethanol was capable of affecting liver
function in the early stages of alcohol-induced liver
disease.
Correspondence to: Prof. Dr J. Pedrazzoli JuÂnior, Clinical Pharmacology and
Gastroenterology Unit, SaÄo Francisco University Medical School, Av. S.
Francisco de Assis 218, 12900-000-BragancËa Paulista, SP, Brazil.E-mail: [email protected]
Aliment Pharmacol Ther 1999; 13: 1335±1341.
Ó 1999 Blackwell Science Ltd 1335
valid information on the stage and extent of the liver
disease, their usefulness in the assessment of liver
function may be limited.5
Several dynamic liver function tests have been used to
complement standard liver tests in patients with liver
disease. Such tests include indocyanine green clear-
ance,6 caffeine elimination7 and lidocaine metabolism.8
Metronidazole, which has a low protein binding
(15%) and a large distribution volume, is completely
absorbed after oral administration, with a peak
concentration of 13±15 lg/mL occurring after an
i.v. dose of 500 mg infused during 20 min.9, 10
Metronidazole is extensively metabolized by cyto-
chrome P450 isozymes, giving rise to two principal
metabolites: a hydroxy metabolite (with about 65% of
the pharmacological activity of metronidazole), and
an inactive acetic acid metabolite.11 Glucuronidation
and renal excretion of the unchanged parent com-
pound represent a minor elimination pathway. Elim-
ination occurs mainly by renal excretion of the
metabolites (60±80% of the total dose); faecal excre-
tion accounts for only 6±15% of the total dose.11, 12
Metronidazole metabolism is not in¯uenced by aging
or gender,13±16 whereas renal excretion and hepatic
glucuronidation can be reduced in patients with
hepatic encephalopathy. The decrease in metronidaz-
ole elimination in patients with severe liver disease is
mainly caused by compromised hepatic oxidative
metabolism.13, 17
In a recent evaluation of the pharmacokinetics of
metronidazole in patients with different degrees of liver
dysfunction but normal renal function, there was no
difference in the metronidazole volume of distribution
compared to normal persons, even in patients with
ascites. Similarly, there were no differences in the area
under the curve for the main metabolite (hydroxy-
metronidazole). However, there was a decrease in
clearance and an increase in the half live of metroni-
dazole, among patients with liver cirrhosis and
schistosomiasis. These ®ndings suggested that evalua-
tion of metronidazole metabolism may provide an
easy-to-perform dynamic liver function test.18 Using
this approach, we were able to discriminate healthy
individuals from Child-Pugh A cirrhotic patients based
on their metronidazole metabolism as assessed by the
hydroxy-metronidazole/metronidazole ratio 10 min
after an intravenous infusion of 500 mg of metronidaz-
ole.18 The use of this metronidazole metabolism test has
also allowed the detection of impaired liver function in
HCV-infected individuals, even in the absence of liver
cirrhosis.19
The present study evaluated whether the above test
could detect hepatic functional changes in the early
stages of several forms of alcohol-induced liver disease.
METHODS
Three groups of subjects were studied: healthy volun-
teers, patients diagnosed with non-cirrhotic, alcoholic
hepatopathy, and patients with alcohol-associated liver
cirrhosis. Patients or volunteers using drugs which
could in¯uence cytochrome P450 function were not
included. All individuals gave their written informed
consent prior to entering the study. The clinical protocol
was approved by the SaÄo Francisco University Medical
School Ethics Committee, and was conducted in accor-
dance with the Declaration of Helsinki.
Volunteer selection
Fifteen healthy volunteers (12 males, mean age
32 years, range 19±48 years) were selected based on
their medical history, absence of alcoholism, a normal
physical examination, and normal laboratory tests,
including negative serologies for hepatitis B and C.
Non-cirrhotic alcoholic hepatopathy
Twenty-four individuals (23 males, mean age 45 years,
range 38±64 years) from SaÄo Francisco University
Hospital with clinical signs of ethanol abstinence or
alcohol-induced coma were screened for non-cirrhotic
alcoholic hepatopathy. Standard laboratory liver
screening tests, including alanine aminotransferase
(ALT), aspartate aminotransferase (AST), alkaline phos-
phatase, gamma glutamyl transpeptidase (GGT), albu-
min, bilirubin, and prothrombin time were performed.
Alcohol-induced, non-cirrhotic alcoholic hepatopathy
was de®ned as increased levels of serum aminotransf-
erases, with a clear predominance of AST over ALT
(AST:ALT ratio > 1.5), or GGT levels elevated at least
once above normal. All patients were tested for anti-
HCV antibodies using a second generation enzyme
immunoassay (Abbott HCV EIA, 2nd Generation;
Abbott Laboratories, IL) and a gelatine particle agglu-
tination test with recombinant antigens C22±3 and
C200 (Serodia-HCV, Fujirebio INC, Japan). The presence
of an active HBV infection was evaluated with two
1336 C. M. F. DA SILVA et al.
Ó 1999 Blackwell Science Ltd, Aliment Pharmacol Ther 13, 1335±1341
enzyme immunoassays for detection of HbsAg and
antibody to HbcAg (Auszyme and Corzyme, respective-
ly; Abbott Laboratories, IL). The absence of liver
cirrhosis was assessed by a clinical evaluation, ultraso-
nography and/or a CT-scan, and was con®rmed by a
liver biopsy, when possible. Patients with positive
serology for HCV or HBV, ongoing bacterial infection,
tumours, liver cirrhosis or renal failure (as determined
by serial serum creatinine determinations) were exclud-
ed. Using these criteria, 20 patients (18±64 years) were
considered to have alcohol-induced hepatitis and were
included in the study.
Alcoholic cirrhosis
Thirty-three liver cirrhosis patients (mean age
41 years, range 25±70 years) were selected for the
study based on their medical history, clinical signs
and the presence of diffuse alterations in the liver
parenchyma detected by ultrasonography or a CT-
scan. These patients had a long-standing history of
alcohol abuse, and negative serology for HCV or an
active HBV infection. Whenever possible, the diagnosis
of cirrhosis was con®rmed by liver biopsy. The
patients were classi®ed according to the Child-Pugh
scale.6 According to this algorithm, nine patients (all
males, mean age 46 years, range 35±64 years) were
classi®ed as A, 15 were classi®ed as B (nine males,
mean age 43 years, range 25±70 years) and nine
were classi®ed as C (eight males, mean age 45 years,
range 38±58 years). Patients with liver tumours,
ongoing bacterial infection, or renal failure (as
determined by serial serum creatinine determinations)
were excluded from the study. The presence of an
ongoing bacterial infection was assessed by clinical
evaluation, chest radiology, urine analysis and, when
indicated, by an ascitic ¯uid analysis.
Laboratory analysis and plasma hydroxy-metronidazole/
metronidazole ratio
Serum chemical analysis, urinalysis, a complete blood
cell and platelet count, prothrombin times and plasma
hydroxy-metronidazole/metronidazole ratios (OH-MET/
MET) were determined in all participants. The pres-
ence of ascites and hepatic encephalopathy was also
assessed in all participants. All patients with ascites
underwent a diagnostic abdominal punction to
exclude primary bacterial peritonitis. The study
consisted of a single intravenous administration of
metronidazole (Flagyl, 500 mg in 100 mL; Rhodia,
SaÄo Paulo, Brazil) over 20 min. At the end of the
infusion, the cannula was washed with 20 mL of
sterile saline. Blood samples (5 mL) were collected
from an antecubital vein into EDTA-containing tubes
before and 5, 10, 20 and 30 min after the infusion.
The blood samples were centrifuged at 2000 g for
5 min and the plasma stored at ±20 °C until assayed.
The participants remained in the Clinical Pharmacol-
ogy Unit during metronidazole administration and
blood sampling.
Metronidazole plasma concentration
The plasma concentrations of metronidazole and its
hydroxy-metabolite (OH-MET) were measured by
reverse-phase high performance liquid chromatography
(HPLC) and ultraviolet detection, as previously
described, with minor modi®cations.20, 21 Brie¯y,
50 lL of the internal standard (tinidazole, 25 lg/mL
in ethanol) was added to 200 lL of plasma (calibration
and subject's samples). After mixing, deproteinization
was carried out by adding 20 lL of 0.6 M ZnSO4 and
20 lL of 0.4 M NaOH. The samples were vortex mixed
after each addition and the tubes were then centrifuged
(2000 g for 5 min). Twenty microlitres of each super-
natant was injected into the liquid chromatograph.
Statistical analysis
The results were expressed as the mean � s.d., unless
stated otherwise. All the variables were analysed by
one-way ANOVA followed by the Student±Newman±
Keuls test for multiple comparisons among groups.
Statistical signi®cance was considered when P < 0.05.
Materials
Metronidazole and tinidazole for HPLC analysis were
purchased from Sigma Chemical Co. (St. Louis, MO).
Hydroxy-metronidazole was a gift from RhoÃne-Poulenc
(France). Analytical grade potassium, dihydrogen phos-
phate, sodium hydroxide, phosphoric acid and HPLC-
grade methanol were obtained from Merck S.A. Inds.
QuõÂms. (Rio de Janeiro, Brazil). Analytical grade zinc
sulphate and tetrahydrofuran were purchased from
Reagen (Rio de Janeiro, Brazil) and Riedel de Haen AG
(Seelze, Germany), respectively.
LIVER FUNCTION IN ALCOHOLIC LIVER DISEASE 1337
Ó 1999 Blackwell Science Ltd, Aliment Pharmacol Ther 13, 1335±1341
RESULTS
Healthy controls were younger than patients
(P < 0.05), but no difference was observed among the
groups of patients; there was no difference in gender
distribution among the groups studied. The intravenous
administration of metronidazole was well tolerated by
all volunteers and patients, with no reports of side-
effects. The liver biochemistry tests demonstrated
increased AST, ALT and GGT levels in patients with
alcohol-induced liver disease compared to healthy
volunteers (Table 1). As expected, in patients with
alcohol-induced liver disease AST levels predominated
over ALT levels (Table 1). In addition, Child-Pugh C
cirrhotic patients had signi®cantly prolonged prothrom-
bin times compared to healthy volunteers and patients
with alcohol-induced hepatitis, indicating severely
impaired liver function (Table 1).
Metronidazole metabolism, as measured by the plasma
OH-MET/MET ratio, was signi®cantly impaired in
patients with alcohol-induced liver cirrhosis throughout
the course of the study (Figure 1). The altered hepatic
metabolic capacity in these patients was detected as
early as 10 min following the administration of met-
ronidazole (Figure 1; Table 2). A signi®cantly
(P < 0.05) higher plasma OH-MET/MET ratio was
observed in patients with non-cirrhotic alcoholic hep-
atopathy compared to Child B and C cirrhotic patients
(Figure 1; Table 2). A non-signi®cant reduction in
metronidazole metabolism was also observed when
patients with non-cirrhotic, alcoholic hepatopathy were
compared to healthy volunteers (Figure 1; Table 2).
When metronidazole metabolism was evaluated
according to the Maddrey discriminant function22
(severe or moderate hepatopathy > 60; mild < 60),
individuals with severe or moderate disease showed a
non-signi®cant reduction (P � 0.0547) in OH-MET/
MET ratio (0.03762 + 0.04), when compared to con-
trols, whereas those with milder disease had a normal
OH-MET/MET ratio (0.05645 + 0.04).
DISCUSSION
Our results demonstrate that patients with alcohol-
induced liver injury have an impaired hydroxy-metron-
Table 1. Standard liver biochemistry tests in healthy volunteers and in patients with alcohol-induced liver disease
Group
AST
(IU/mL)
ALT
(IU/mL)
GGT
(IU/mL)
Bb
(mg%)
PT
(s)
Weight
(kg)
Mean age
(years; range)
Healthy volunteers 17.1 + 2.8 16.4 + 2.6 22.2 + 4.7 0.9 + 0.2 13.5 + 0.5 70 + 2.0 32 (19±48)
Child-Pugh A 39.0 + 4.6## 39.7 + 10.0# 71.3 + 9.9 1.5 + 0.2 13.6 + 0.5 68.5 + 3.9 45* (38±58)
Child-Pugh B 63.9 + 15.9 28.8 + 2.5# 70.8 + 16.3# 4.1 + 1.5 15.6 + 0.6 61.3 + 6.0 46* (35±64)
Child-Pugh C 98.2 + 36.0 49.2 + 14.7# 52.4 + 19.7 7.7 + 2.8 19.0 + 2.0###** 58.3 + 3.4 43* (25±70)
Alcoholic hepatopathy 83.5 + 11.7** 62.5 + 9.5*** 146.1 + 31.0** 2.5 + 1.0 10.2 + 1.2 68.2 + 3.0 45* (38±64)
AST, aspartate aminotransferase; ALT, alanine aminotransferase; GGT, gamma glutamyl transpeptidase; Bb, total bilirubin; PT, prothrombin time.
The results are expressed as the mean � s.e. Asterisks denote a signi®cant difference compared to healthy volunteers (* P < 0.05, ** P < 0.01,*** P < 0.001). # denote a signi®cant difference compared to patients with alcohol-induced hepatitis (# P < 0.05, ## P < 0.01,
### P < 0.001).
Figure 1. Plasma hydroxy-metronidazole/metronidazole (OH-
MET/MET) ratios following the intravenous administration of
500 mg of metronidazole in healthy volunteers (solid circles),
patients with non-cirrhotic, alcoholic hepatopathy (solid squares),
and Child-Pugh A (open circles), Child-Pugh B (open triangles)
and Child-Pugh C (open squares) cirrhotic patients. The results
are expressed as the mean � s.e. Plasma OH-MET/MET ratios
were signi®cantly reduced in patients with alcohol-induced liver
disease compared to healthy volunteers, indicating an impaired
metabolic capacity in the liver of chronic ethanol abusers. Plasma
OH-MET/MET ratios in cirrhotic patients were also signi®cantly
reduced compared to those of patients with alcohol-induced
hepatitis. Asterisks denote a signi®cant difference compared to
healthy volunteers (* P < 0.05, ** P < 0.01, *** P < 0.001).
1338 C. M. F. DA SILVA et al.
Ó 1999 Blackwell Science Ltd, Aliment Pharmacol Ther 13, 1335±1341
idazole/metronidazole ratio, suggesting that hepatic
function is altered by chronic ethanol consumption.
The pathogenesis of alcohol-induced liver disease is
believed to be multifactorial. Ethanol toxicity, nutritional
de®ciency, and other noxious factors can contribute to
the development of liver injury in susceptible subjects.23
The impact of chronic alcohol consumption on liver
function has been extensively explored. However,
standard liver biochemistry tests can sometimes give
inaccurate information on the true status of liver
function.5 In such cases, a dynamic assessment of the
hepatic metabolic capacity should theoretically provide
a more direct and reliable assessment of liver function.
Ethanol oxidation by hepatocytes leads to the forma-
tion of several free radicals which can in¯ict oxidative
damage on a wide range of intracellular compounds.
These radicals can also be produced by the accumula-
tion of acetaldehyde, the metabolism of which is already
slowed in alcoholics. Alcohol consumption also reduces
antioxidant defences, and ampli®es the deleterious
effects of free radicals. Ten to 15 per cent of ethanol
ingested is metabolized by a microsomal P450 ethanol-
oxidizing system, mostly CYP 2E1, which is alcohol-
inducible.24 The induction of CYP 2E1 increases oxygen
consumption, acetaldehyde production and promotes
lipid peroxidation, with the generation of free radi-
cals.25, 26 This phenomenon results in the development
of steatosis and other lesions in zone 3 (perilobular) of
the hepatic acinus. Since the P450 enzymes are present
in greater amounts in the perilobular zone, this could, at
least in part, explain the observed impairment of
metronidazole metabolism, even in cases of non-cirrho-
tic alcoholic hepatopathy.
Immunological mechanisms may also contribute to the
pathogenesis of alcohol-induced hepatitis,27 and there is
a striking similarity between the biological effects of
certain cytokines and the clinical manifestations of acute
liver disease. It has been proposed that tumour necrosis
factor may play a role in alcohol-induced hepatitis.28, 29
Cytokines down-regulate the expression of major cyto-
chrome P450 enzymes in adult human hepatocytes in
primary culture, and interferon gamma down-regulates
the expression and catalytic activities of cytochrome
P450 enzymes and genes.30, 31 Thus, immune-mediated
alcohol-induced changes in cytochrome P450 enzyme
function could account for the impaired capacity of the
liver to promote metronidazole clearance.
In the absence of liver cirrhosis, patients diagnosed
with moderate to severe non-cirrhotic alcoholic hep-
atopathy based on the Maddrey discriminant function22
also had an altered capacity to metabolize metronidaz-
ole. This ®nding indicates that ethanol-associated
changes in liver function can occur in the absence of
liver ®brosis, and most importantly, that they can be
detected at earlier stages of liver disease using the
metronidazole metabolism test. A `better' metronidazole
metabolism was observed in subjects with non-cirrhotic
alcoholic hepatopathy compared to Child-Pugh A
cirrhotic patients, who had signi®cantly lower amino-
transferase levels than Child-Pugh C cirrhotic patients.
This suggests that altered metronidazole metabolism
occurs irrespective of hepatocyte injury, as determined
by AST and ALT levels. Such a conclusion agrees with
our previous observations of impaired metronidazole
metabolism in HCV-positive, non-cirrhotic patients or
asymptomatic carriers, and con®rms the presence of a
cytochrome P450 dysfunction in the initial stages of
liver disease; this disfunction is not related to active
hepatocyte damage.19
Metronidazole metabolism correlated well with the
Maddrey discriminant function,22 being normal in
individuals with episodes of mild non-cirrhotic alcoholic
hepatopathy (MDF < 60), and reduced in patients with
more severe non-cirrhotic alcoholic hepatopathy
(MDF > 60). The reduction in the latter was not
signi®cant when compared to healthy volunteers,
although there was a tendency towards signi®cance
(P � 0.0547). In addition, a Type II error resulting
Table 2. Mean plasma hydroxy-metronidazole/metronidazole
ratios 10 min after the intravenous administration of 500 mg of
metronidazole
Group [OH-MET]/[MET]
Healthy volunteers 0.069 � 0.029
Child-Pugh A 0.023 � 0.015**
(±0.080/±0.013)a
Child-Pugh B 0.023 � 0.022***#
(±0.073/±0.019)a
(±0.046/±0.005)b
Child-Pugh C 0.015 � 0.013***#
(±0.026/0.025)a
(±0.046/±0.005)b
Non-cirrhotic 0.049 � 0.043
Alcoholic hepatopathy (±0.041/0.0004)a
OH-MET, hydroxy-metronidazole; MET, metronidazole. ** P < 0.01,
*** P < 0.001 vs. healthy volunteers. # P < 0.05 vs. patients withalcohol-induced hepatitis. Numbers in brackets indicate the upper and
lower limits of the 95% con®dence intervals (CI) of the signi®cant
differences compared to ahealthy volunteers and bpatients with
alcohol-induced hepatitis.
LIVER FUNCTION IN ALCOHOLIC LIVER DISEASE 1339
Ó 1999 Blackwell Science Ltd, Aliment Pharmacol Ther 13, 1335±1341
from the reduced number of individuals evaluated
cannot be ruled out.
In most of our patients with non-cirrhotic, alcoholic
hepatopathy the diagnosis was based upon clinical,
laboratory and sonography data. Thus, the presence of
early stage liver cirrhosis could not be completely
excluded. It is noteworthy, however, that patients with
a diagnosis of liver cirrhosis involving moderate
impairment of hepatic function (Child B) showed a
reduction in metronidazole metabolism similar to
patients with liver cirrhosis who had a normal liver
function (Child A; Figure 1). The slight impairment in
metronidazole metabolism observed in Child B indivi-
duals compared to Child A patients was signi®cant
when compared to individuals with non-cirrhotic,
alcoholic hepatopathy (Figure 1). These ®ndings
suggest that these groups indeed represent different
stages of alcoholic liver disease. Nevertheless, these
results are preliminary and need to be con®rmed in a
larger study in which the diagnosis of non-cirrhotic,
alcoholic hepatopathy is based on histology.
Other dynamic liver tests that can be used to comple-
ment standard liver assessment in patients with liver
diseases include the clearance of lidocaine or the
formation of its main metabolite mono-ethyl-glycine-
xylidine (MEG-X) and the clearance of caffeine.7, 32 The
clearance of lidocaine is very complex, and has no
predictive value in patients with liver cirrhosis of any
Child class.33, 34 The MEG-X-test is reported to have
failed in predicting graft function and survival after liver
transplant.35, 36 The clearance of lidocaine is increased in
smokers, is age-related and appears to be in¯uenced by
gender.37±39 The administration of lidocaine at the dose
required to perform a dynamic liver test may also be
associated with side-effects, including severe cardiac
dysrhythmia.40 The clearance of caffeine is reduced in
cirrhosis and has no side-effects, although caffeine
metabolism is induced in smokers and is dependent on
diet.41±43 Metronidazole metabolism is not age-, gender-
or diet-dependent, and its administration at the dose
needed to perform the hydroxy-metronidazole/metron-
idazole ratio test is not associated with severe side-
effects.13±16
These results, obtained in patients with alcohol-induced
liver disease, con®rm our previous report demonstrating
that impairment of metronidazole metabolism can be
detected in the early stages of liver disease such as in
Child-Pugh A cirrhosis, and that this ®nding parallels the
clinical assessment of liver disease.11
We conclude that metronidazole metabolism is
reduced in alcohol-induced liver cirrhosis and in
patients with non-cirrhotic, alcoholic hepatopathy.
The OH-MET/MET ratio proved to be useful in the early
detection of ethanol-induced liver injury. We are
currently studying the applicability of this test to the
long-term prognosis of alcohol-induced hepatitis and
liver cirrhosis.
ACKNOWLEDGEMENTS
Dr Silva is supported by FundacËaÄo de Amparo aÁ
Pesquisa do Estado de SaÄo Paulo (FAPESP), Brazil. This
work was supported by a grant from IPPEX ± SaÄo
Francisco University (to J. P. Jr).
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