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Quantitativeassessmentoftheglyoxalasepathway in
Leishmania infantumasatherapeutictargetby modelling
and computer simulation
Marta Sousa Silva
1
, Anto
´
nio E. N. Ferreira
1
, Ana Maria Toma
´
s
2,3
, Carlos Cordeiro
1
and Ana Ponces Freire
1
1 Centro de Quı
´
mica e Bioquı
´
mica, Departmento de Quı
´
mica e Bioquı
´
mica, Faculdade de Cie
ˆ
ncias da Universidade de Lisboa, Portugal
2 ICBAS – Instituto de Cie
ˆ
ncias Biome
´
dicas Abel Salazar, Universidade do Porto, Portugal
3 Instituto de Biologia Molecular e Celular, Universidade do Porto, Portugal
All trypanosomatids share two characteristics that set
them apart from other eukaryotic cells. The first is
the functional replacement of glutathione by N
1
,N
8
-
bis(glutathionyl)-spermidine (trypanothione) whereby
most glutathione-dependent enzymes are replaced by
trypanothione-dependent ones [1]. The second is the
compartimentation of glycolysis, which occurs in a
specific organelle, the glycosome [2]. These differences
may be exploited inthe development of novel thera-
peutic strategies based on the disruption of trypano-
thione-dependent biochemical processes and glycolysis
inhibition, both essential for the survival of these intra-
cellular parasites.
An often overlooked aspect of glycolysis arises from
the chemical instability of dihydroxyacetone phosphate
and d-glyceraldehyde-3-phosphate [3]. In physiologic
Keywords
Leishmania; trypanothione; methylglyoxal;
glyoxalase; modelling
Correspondence
C. Cordeiro, Centro de Quı
´
mica
e Bioquı
´
mica, Departmento de Quı
´
mica
e Bioquı
´
mica, Faculdade de Cie
ˆ
ncias
da Universidade de Lisboa, Edifı
´
cio C8,
Lisboa, Portugal
Fax: +351 217500088
Tel: +351 217500929
E-mail: caac@fc.ul.pt
http://cqb.fc.ul.pt ⁄ enzimol
Note
The mathematical model described here has
been submitted to the Online Cellular Sys-
tems Modelling Database and can be
accessed free of charge at http://jjj.biochem.
sun.ac.za/database/silva/index.html
(Received 12 November 2004, revised 21
January 2005, accepted 28 February 2005)
doi:10.1111/j.1742-4658.2005.04632.x
The glyoxalasepathwayofLeishmaniainfantum was kinetically character-
ized asa trypanothione-dependent system. Using time course analysis
based on parameter fitting with a genetic algorithm, kinetic parameters
were estimated for both enzymes, with trypanothione derived substrates. A
K
m
of 0.253 mm anda V of 0.21 lmolÆmin
)1
Æmg
)1
for glyoxalase I, and a
K
m
of 0.098 mm anda V of 0.18 lmolÆmin
)1
Æmg
)1
for glyoxalase II, were
obtained. Modellingandcomputersimulation were used for evaluating the
relevance oftheglyoxalasepathwayasa potential therapeutictarget by
revealing the importance of critical parameters of this pathwayin Leishma-
nia infantum. A sensitivity analysis ofthepathway was performed using
experimentally validated kinetic models and experimentally determined
metabolite concentrations and kinetic parameters. The measurement of
metabolites in L. infantum involved the identification and quantification of
methylglyoxal and intracellular thiols. Methylglyoxal formation in L. infan-
tum is nonenzymatic. The sensitivity analysis revealed that the most critical
parameters for controlling the intracellular concentration of methylglyoxal
are its formation rate andthe concentration of trypanothione. Glyoxalase I
and II activities play only a minor role in maintaining a low intracellular
methylglyoxal concentration. The importance oftheglyoxalasepathway as
a therapeutictarget is very small, compared to the much greater effects
caused by decreasing trypanothione concentration or increasing methyl-
glyoxal concentration.
Abbreviations
DHAP, dihydroxyacetone phosphate; GAP,
D-glyceraldehyde-3-phosphate; Glx I, glyoxalase I; Glx II, glyoxalase II; HTA, hemithioacetal;
MG, methylglyoxal; TFA, trifluoroacetic acid; T(SH)
2
, N
1
,N
8
-bis(glutathionyl)-spermidine; SDL-TSH, S-D-lactoyltrypanothione.
2388 FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS
conditions, these trioses readily undergo an irreversible
b-elimination reaction ofthe phosphate group from
their common 1,2-enediolate form, forming oxopro-
panal (methylglyoxal) [4]. Methylglyoxal is also formed
as a by-product ofthe triose phosphate isomerase cata-
lysed reaction [5] andin bacteria may be enzymatically
synthesized from dihydroxiacetone phosphate by meth-
ylglyoxal synthase (EC 4.1.99.11), an enzyme not
found in eukaryotic cells [6–8]. Once formed, methyl-
glyoxal irreversibly modifies amino groups in lipids,
nucleic acids and proteins, forming advanced glycation
end products [9]. It is therefore toxic, mutagenic and
an inhibitor of glycolytic enzymes [10]. The glutathi-
one-dependent glyoxalasepathway is the main detoxifi-
cation system for methylglyoxal [11]. It first reacts
nonenzymatically with glutathione, forming a hemithio-
acetal that is isomerized to the thiol ester S-d-lactoyl-
glutathione byglyoxalase I (Glx I; lactoylglutathione
lyase, EC 4.4.1.5). S-d-Lactoylglutathione is then
hydrolysed to d-lactate and glutathione by glyoxalase
II (Glx II; hydroxyacyl glutathione hydrolase, EC
3.1.2.6) as shown in Fig. 1.
Enhancing methylglyoxal formation or inhibiting its
main catabolic pathway may lead to an increase of
methylglyoxal concentration with harmful effects on
trypanosomatids that might be exploited for therapeu-
tic purposes.
Little is known regarding methylglyoxal metabolism
in trypanosomatids andthe first reference to the
presence oftheglyoxalasepathwayin Leishmania
braziliensis dates from 1988 [12]. Only 16 years later
was glyoxalase II characterized in Trypanosoma brucei
[13]. In this case, lactoyltrypanothione was found to be
a better substrate for this enzyme than S-d-lactoylgluta-
thione (SDL-TSH), the substrate for all glyoxalase II
enzymes known so far.
In this work we investigated the kinetics of the
glyoxalase pathway enzymes in L. infantumby time
course analysis based on modellingand parameter fit-
ting with a genetic algorithm. The best-fit parameters
were used to set up a mathematical model ofthe path-
way in L. infantum. Computersimulationofthe sys-
tem’s behaviour resulting from excursions around a
reference state were performed to reveal the most sen-
sitive points oftheglyoxalase pathway, towards pos-
sible pharmacological opportunities.
The mathematical model described here has been
submitted to the Online Cellular Systems Modelling
Database and can be accessed at http://jjj.biochem.sun.
ac.za/database/silva/index.html free of charge.
Results and Discussion
The potential oftheglyoxalase system asa possible
therapeutic target relies on its role asthe main cata-
bolic pathway for methylglyoxal in eukaryotic cells. To
cause damage to Leishmania, or to any other trypano-
somatid, conditions must be sought that lead to an
increase of methylglyoxal concentration. A quantitative
analysis ofthe most critical parameters ofthe pathway
regarding this goal requires the knowledge ofthe intra-
cellular concentrations of all metabolites involved and
a kinetic model that accurately describes the glyoxalase
system in Leishmania.
Methylglyoxal was identified inLeishmania infantum
by HPLC and appears to be the only 2-oxoaldehyde
detected. This metabolite is present, in early stationary
phase cells, at a concentration of 9.67 pmol per 10
8
promastigotes. This low methylglyoxal concentration
suggests that its formation in L. infantum is nonenzy-
matic as observed in other cells [14,15]. To confirm this
hypothesis, methylglyoxal synthase activity was
assayed by measuring methylglyoxal formation from
dihydroxyacetone phosphate (DHAP). When compar-
ing the rates of methylglyoxal formation inthe pres-
ence andinthe absence of L. infantum extract, no
significant differences were found. DHAP forms
methylglyoxal at a rate of 0.17 lmÆmin
)1
and with
L. infantum extract the rate was 0.18 lmÆmin
)1
. Data-
base mining ofthe L. infantum genome did not reveal
any possible sequences for a methylglyoxal synthase
gene. The low intracellular methylglyoxal concentration
Thiol esther
CH
3
O
O
H
CH
3
OH
O
S
R
H
CH
3
OH
O
OH
H
RSH
D-Lactate
Glutathione
or
trypanothione
-SH group
Hemithioacetal
Methylglyoxal
Dihydroxyacetone
phosphate
3-P-1,2-enediol
D-glyceraldehyde
-3-phosphate
O
3
POCH
2
O
H
OH
H
H
OH
O
3
POCH
2
OH
O
3
POCH
2
OH
O
H
H
(non-enzymatic)
Glyoxalase I
Glyoxalase II
(non-enzymatic)
2-2-
2-
CH
3
S
R
O
OH
H
Fig. 1. Methylglyoxal metabolism. Methylglyoxal is formed from
the glycolytic intermediates dihydroxyacetone phosphate (DHAP)
and
D-glyceraldehyde-3-phosphate (GAP), and is dismutated to
D-lactate bytheglyoxalase pathway. R-SH represents thiol group(s)
of reduced glutathione (GSH) or reduced trypanothione [T(SH)
2
].
M. Sousa Silva et al. TheglyoxalasepathwayinLeishmania infantum
FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS 2389
and the absence of methylglyoxal synthase activity sug-
gest that this metabolite is most improbably originated
from this enzyme’s activity. Therefore, in our model,
we considered only the nonenzymatic formation of
methylglyoxal from DHAP and d-glyceraldehyde-
3-phosphate (GAP) (Fig. 2) using the steady state
concentrations of these trioses as previously reported
[16]. Concerning the intracellular low molecular mass
thiols of L. infantum, at early stationary phase of
growth, HPLC analysis of monobromobimane deriva-
tives revealed the presence of GSH and T(SH)
2
at
retention times of 13.6 and 21.2 min, respectively
(Fig. 3B). T(SH)
2
was present at a concentration of
3.04 nmol per 10
8
promastigotes, while GSH concen-
tration was 0.50 nmol per 10
8
promastigotes, a much
lower value. Unidentified thiols (U marked peaks)
were also shown to be present in this parasite, at
retention times of 14.5 and 23.3 min (Fig. 3B). GSH
is present at a molar ratio of 1 : 6 relative to trypan-
othione, making T(SH)
2
a good candidate for repla-
cing GSH intheglyoxalasepathwayin L. infantum,
as occurs in other enzymatic systems in trypanosom-
atids. Substrate dependence oftheglyoxalase enzymes
was then evaluated in this parasite by initial rate ana-
lysis.
Using the methylglyoxal glutathione hemithioacetal
as substrate, the kinetic parameters for L. infantum
glyoxalase I, were a K
m
of 1.85 ± 0.35 mm anda V of
0.19 ± 0.02 lmolÆmin
)1
Æmg
)1
(Table 1). The K
m
for
Glx I, using this hemithioacetal, is about five times
higher than that described for all known glyoxalase I
enzymes with the methylglyoxal glutathione hemithio-
acetal as substrate [11]. Additionally, Glx II activity
could not be detected in L. infantum using S-d-lac-
toylglutathione as substrate, either by following its
hydrolysis at 240 nm or by monitoring GSH formation
at 420 nm with 5,5¢-dithiobis(2-nitrobenzoic acid), a
more sensitive assay [17]. Given these results and the
much lower concentration of GSH compared to
T(SH)
2
, it is likely that trypanothione hemithioacetal
and lactoyltrypanothione might be the physiological
substrates for glyoxalase I andglyoxalase II in
L. infantum, respectively. Indeed, the kinetic parame-
ters for Glx I were a K
m
of 0.24 ± 0.04 mm and a
V of 0.19 ± 0.02 lmolÆmin
)1
Æmg
)1
using methyl-
glyoxal trypanothione hemithioacetal (Table 1). For
Fig. 2. TheglyoxalasepathwayinLeishmania infantum. Reactions
1 and 2 correspond to the nonenzymatic (n.e.) formation of MG
from dihydroxyacetone phosphate (DHAP) and
D-glyceraldehyde-3-
phosphate (GAP). Reactions 3 and 4 correspond to the reversible
reaction between MG and reduced trypanothione [T(SH)
2
]. Reac-
tions 5 and 6 are catalysed by Glx I and Glx II, respectively. Num-
bered reactions are described in Table 3.
A
B
Fig. 3. HPLC analysis oftheglyoxalasepathway metabolites in
Leishmania infantum promastigotes. (A) Analysis of 2-oxoalde-
hydes, showing the presence of MG as 2-methylquinoxaline and
the internal standard (IS, 1 l
M 2,3-dimethylquinoxaline). Other
peaks are due to the reagent. (B) Thiol analysis, as monobromobi-
mane derivatives. Glutathione (GSH) and trypanothione (T(SH)
2
)
were identified. Peaks marked R are due to the derivatizing reagent
monobromobimane, while U marked peaks are unidentified thiols.
The glyoxalasepathwayinLeishmaniainfantum M. Sousa Silva et al.
2390 FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS
Glx II, the activity could be measured and we obtained
a K
m
of 0.073 ± 0.020 mm anda V of 0.22 ±
0.0005 lmolÆmin
)1
Æmg
)1
with bis(lactoyl)trypanothione
(Table 2). The kinetic constants for both enzymes are
similar to those found for glutathione or trypanothi-
one-dependent glyoxalase I and II in other systems
(Tables 1 and 2) [13,18–20].
The determination of detailed rate laws for enzyme
systems is very difficult, unless a very large number of
experiments is performed. This is seldom possible with
trypanothione-dependent enzymes, given the scarcity
of this thiol. Initial rate analysis is also limited to the
study of isolated enzymes and does not provide a good
approach to understanding the kinetics ofa metabolic
pathway. A better strategy is the use of time course
analysis, which requires fitting ofa set of parameters
from a system of ordinary differential equations that
describe a given kinetic model to a set of concentration
time courses. So far, this analysis ofthe glyoxalase
pathway has only been performed in yeast [20].
The glyoxalasepathway enzymes catalyse irreversible
reactions and can be considered as single substrate
Michaelian enzymes [11,20]. When fitting a single-
enzyme model for glyoxalase I (single substrate
irreversible Michaelis–Menten) to time courses for
lactoyltrypanothione concentration, only a poor fit was
possible (Fig. 4A,A¢). Other rate laws were investigated
as possible alternatives and again no better fitting was
achieved (data not shown). As we could detect the
activity of both enzymes with trypanothione derived
substrates we next fitted a two-enzyme kinetic model
(single substrate irreversible Michaelis-Menten). In this
case an excellent fit was achieved (Fig. 4B,B¢) and the
kinetic parameters for both enzymes were determined
(Tables 1 and 2). This fit was obtained using only
two progress curves corresponding to 0.14 mm and
0.27 mm hemithioacetal. The analysis was also per-
formed with more than two curves and identical results
were obtained. For Glx I we determined an apparent
K
m
of 0.253 mm and an apparent V of 0.21 lmolÆ
min
)1
Æmg
)1
(Table 1) while for Glx II a K
m
of
0.098 mm anda V of 0.18 lmolÆmin
)1
Æmg
)1
were deter-
mined (Table 2). Other models were tested, namely gly-
oxalase II inhibition by methylglyoxal trypanothione
hemithioacetal, but the fitting was not improved (data
not shown). A possible effect of competitive product
inhibition on glyoxalase I was also investigated, but a
worse fitting was obtained (Fig. 4C,C¢). A K
m
of
0.801 mm anda V of 0.5 lmolÆmin
)1
Æmg
)1
were deter-
mined, markedly different from the ones estimated
from initial rate and time course analysis using the
two-enzyme model. Moreover, the obtained K
i
of
0.02 mm would imply that the enzyme should have an
abnormally high affinity for the product.
With our experimental conditions, where native
enzymes are present at their relative activities with
Table 1. Glyoxalase I kinetic parameters inLeishmaniainfantumand other cells.
Glx I Substrate
Initial rate analysis Time course analysis
K
m
(mM)
V
(lmolÆmin
)1
Æmg
)1
)
K
m
(mM)
V
(lmolÆmin
)1
Æmg
)1
)
Leishmania infantum GSH 1.85 ± 0.35 0.19 ± 0.02 – –
T(SH)
2
0.24 ± 0.04 0.19 ± 0.02 0.253 0.21
Plasmodium falciparum [19] GSH 0.77 ± 0.15 NC
a
––
Leishmania major [18] T(SH)
2
0.32 ± 0.03 NC
a
––
Saccharomyces cerevisiae [20] GSH 0.51 ± 0.06 NC
b
0.62 ± 0.18 NC
b
a
NC, not comparable (data from recombinant enzyme).
b
NC, not comparable (data from permeabilized cells).
Table 2. Glyoxalase II kinetic parameters inLeishmaniainfantumand other cells. ND, not detected.
Glx II Substrate
Initial rate analysis Time course analysis
K
m
(mM)
V
(lmolÆmin
)1
Æmg
)1
)
K
m
(mM)
V
(lmolÆmin
)1
Æmg
)1
)
L. infantum SDL-GSH ND ND – –
SDL-TSH 0.073 ± 0.020 0.22 ± 0.0005 0.098 0.18
T. brucei [13] SDL-TSH 0.086 ± 0.004 NC
a
––
S. cerevisiae [20] SDL-GSH 0.32 ± 0.13 NC
b
0.09 ± 0.05 NC
b
a
NC, not comparable (data from recombinant enzyme).
b
NC, not comparable (data from permeabilized cells).
M. Sousa Silva et al. TheglyoxalasepathwayinLeishmania infantum
FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS 2391
possible post-translational modifications preserved, we
achieved a characterization oftheglyoxalase system
sufficient to elaborate a minimal model of its global
kinetic behaviour (Fig. 2). A reference steady state was
defined bythe experimentally determined enzyme
activities using time course analysis andthe measured
intracellular trypanothione concentration. The rate of
methylglyoxal formation was calculated using the pre-
viously determined triose phosphate concentrations
[16] and rate constants [21].
When simulating the effects of changing glyoxalase
I or glyoxalase II activities on methylglyoxal steady-
state concentration, surprising results were obtained
(Fig. 5A,B). To increase methylglyoxal concentration
by about 50%, glyoxalase I activity must be
decreased to 10% of its reference value (Fig. 5A).
Varying glyoxalase II activity causes no noticeable
change on the concentration of methylglyoxal within
the tested range of variation (Fig. 5B). By contrast,
methylglyoxal input and trypanothione concentration
show a linear and an inverse hyperbolic effect on the
steady-state concentration of methylglyoxal, respect-
ively (Fig. 5C,D).
In search for synergistic effects, the dependence of
methylglyoxal steady-state concentration on the joint
variations of two parameters at a time was also simu-
lated (Fig. 6). Focusing on theglyoxalase activities,
trypanothione concentration, and methylglyoxal for-
mation rate as model parameters, there are six possible
two-parameter combinations to be considered. Among
these, a significant increase in methylglyoxal is
only achieved when trypanothione concentration is
decreased (Fig. 6A,B). The greatest effect is observed
for the simultaneous increase of methylglyoxal forma-
tion rate and decrease of trypanothione concentration.
In all other combinations there is only a slight effect
on methylglyoxal concentration suggesting that a signi-
ficant increase of this metabolite would only be
AA'
BB'
CC'
Fig. 4. Time course analysis ofthe glyox-
alase pathwayinLeishmania infantum. Two
concentrations of methylglyoxal trypanothi-
one hemitioacetal were studied (0.14 and
0.27 m
M). Lactoyltrypanothione concentra-
tion was monitored at 240 nm. Experimental
data (black line, A,B,C), fitting a single-
enzyme model (blue line, A), fitting a two-
enzyme model (red line, B) and fitting a
single-enzyme model with competitive prod-
uct inhibition (yellow line, C). The best fit for
each model was obtained by least squares
minimization using two time courses and a
genetic algorithm to search the parameter
space. Numerical solvers of ODE initial
value problems andthe genetic algorithms
were implemented inthe software package
AGEDO. For each model, plots of residuals
are shown in A¢,B¢ and C¢.
The glyoxalasepathwayinLeishmaniainfantum M. Sousa Silva et al.
2392 FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS
possible for extreme modulations of enzyme activities.
In particular, inthe combinations involving the
decrease ofglyoxalase II activity the effect is equival-
ent to the modulation ofthe other parameters alone,
as shown inthe combination involving glyoxalase I
and glyoxalase II (Fig. 6C).
The simulation results, based on experimentally
determined parameters anda kinetic model of the
AB
DC
Fig. 5. Sensitivity analysis ofthe glyoxalase
pathway inLeishmania infantum. The effects
of system parameters on the intracellular
steady-state concentration of methylglyoxal
were investigated by finite parameter chan-
ges (between 0.05- and three-fold) around
the reference steady state. All values are
fold variations relative to the reference state
(normalized values). System parameters
were: glyoxalase I activity (A), glyoxalase II
activity (B), methylglyoxal input (C), and
initial trypanothione concentration (D).
0
20
40
60
80
1.0
1.5
2.0
2.5
3.0
0.2
0.4
0.6
0.8
1.0
MG
MG input
initial SH
0
20
40
60
80
0
20
40
60
80
0.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1.0
MG
GLX I
initial SH
0
20
40
60
80
0
20
40
60
80
0.2
0.4
0.6
0.8
1.0
MG
GLX I
GLX II
0
20
40
60
80
0
20
40
60
80
0.2
0.4
0.6
0.8
1.0
1.0
1.5
2.0
2.5
3.0
MG
GLX I
MG input
0
20
40
60
80
AB
C
D
0.2
0.4
0.6
0.8
1.0
Fig. 6. Sensitivity analysis ofthe glyoxalase
pathway inLeishmania infantum, studying
the effects of two simultaneous system
parameters on the intracellular steady-state
concentration of methylglyoxal, by finite
parameter changes (between 0.05- and
onefold, except for MG input that was
between one- and 3.5-fold) around the
reference steady state. All values are fold
variations relative to the reference state
(normalized values). System parameters
were: initial trypanothione concentration and
methylglyoxal input (A), initial trypanothione
concentration andglyoxalase I activity (B),
glyoxalase II activity andglyoxalase I activity
(C), methylglyoxal input andglyoxalase I
activity (D).
M. Sousa Silva et al. TheglyoxalasepathwayinLeishmania infantum
FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS 2393
pathway, clearly show that theglyoxalase enzymes are
poor therapeutic targets. This view is supported by
growth experiments with single gene deletion yeast
mutants for glyoxalase I and II [21]. Both strains grow
in d-glucose containing media in exactly the same way
as the reference strain. Only when methylglyoxal is
added to the growth medium at a concentration of
0.5 mm a slight reduction of growth rate is observed
for the DGLO1 strain. Growth ofthe DGLO2 strain is
not affected even inthe presence of 1 mm of methyl-
glyoxal. Moreover, glyoxalase II is absent in some
mammals with no harmful consequences [22].
Methylglyoxal formation is nonenzymatic in eukary-
otic cells andLeishmania is no exception. Its formation
rate is dependent of triose phosphates concentrations
and may be changed by controlling triose phosphate
isomerase (TPI) activity, for a given glycolytic flux. In
a case study of human TPI deficiency, increased con-
centrations of DHAP and methylglyoxal were detected,
related to mental illness [23]. Additionally, reduction
of TPI activity in Trypanosoma brucei causes an inhibi-
tion of growth, likely due to increased methylglyoxal
formation [24]. A detailed kinetic and molecular char-
acterization of L. infantum TPI may lead to the devel-
opment of specific inhibitors granting a selective
inhibitory effect that may prove to be useful against
trypanosomatids.
The intracellular concentration of trypanothione is
another critical parameter that will lead to an increase
of the steady-state concentration of methylglyoxal.
Again, inthe work with yeast referred to above, the
most sensitive strain to methylglyoxal is the one lack-
ing glutathione synthase I, DGSH1, with a lower intra-
cellular GSH concentration [21]. In Trypanosoma
brucei, trypanothione depletion results in growth arrest
and increased sensitivity to oxidative stress [25]. Inhibi-
tion of trypanothione biosynthesis most likely impairs
several pathways vital to the survival ofthe parasite.
Moreover, resistance to carbonylic stress caused by
methylglyoxal will be compromised. From a practical
point of view, trypanothione depletion might be
achieved by inhibiting trypanothione synthetase the
enzyme that in T. brucei, T. cruzi and L. major was
shown to catalyse the formation of that thiol from
spermidine and glutathione [26–28]. This enzyme,
essential to T. brucei [29] and very likely to the other
trypanosomatids, is considered one ofthe most prom-
ising targets for chemotherapy.
In summary, research efforts in search for more
effective drugs against trypanosomatids have revealed
important aspects of these parasites’ biochemistry.
Effective therapies must rely on unique aspects such as
glycolysis compartimentation and thiol metabolism.
Trypanothione is essential for cell viability and plays a
major role inthe defence against oxidative stress
caused by hydrogen peroxide and organic hydroper-
oxides. It is also the physiological substrate ofthe gly-
oxalase pathway, the main detoxification system for
methylglyoxal and other 2-oxoaldehydes, arising from
nonenzymatic reactions.
As any prospects to fulfil this goal rely on increasing
methylglyoxal concentration, our results clearly show
that reduction ofglyoxalase I or glyoxalase II activities
will have only a slight to no effect, respectively, on
steady-state concentration of methylglyoxal. On the
contrary, focusing on increasing methylglyoxal forma-
tion or reducing trypanothione concentration are more
attractive approaches. Inthe case of trypanothione, a
synergistic effect, whereby oxidative and carbonylic
stresses are increased, may be achieved with lethal
consequences to trypanosomatids.
Experimental procedures
Reagents and equipment
S-d-Lactoylglutathione (SDL-GSH), yeast glyoxalase I
(530–550 UÆmg
)1
protein), bovine liver glyoxalase II
(% 29 UÆmg
)1
protein), N-ethylmaleimide, dithiothreitol,
DHAP, methylglyoxal dimethylacetal, trifluoroacetic acid
(TFA), monobromobimane, 1,2-diaminobenzene, 5,5¢-
dithiobis(2-nitrobenzoic acid) and Coomassie Brilliant Blue
G were purchased from Sigma Chemical Co (St Louis,
MO, USA). 2,3-Dimethylquinoxaline was obtained from
Aldrich. Reduced and oxidized glutathione (GSH and
GSSG) were obtained from Boehringer Mannheim GmbH
(Mannheim, Germany). Trypanothione disulfide (TS2) was
purchased from Bachem. RPMI Medium was purchased
from Gibco-BRL (Paisley, UK). Other reagents were of
analytical grade and all solvents were of HPLC grade.
A Beckman DUÒ (Fullerton, CA, USA) 7400 diode array
spectrophotometer with a thermostated multicuvette holder,
with stirring, was used for the determination of protein con-
centration and to monitor enzyme activity. Centrifugations
were performed ina refrigerated Eppendorf (Hamburg,
Germany) 5804R centrifuge. Thiol determinations and
methylglyoxal (MG) quantifications were performed in a
Beckman Coulter HPLC coupled with a Jasco FP-2020 Plus
(Tokyo, Japan) fluorescence detector. In these assays, a
Merck LichroCART (Darmstadt, Germany) 250–4
(250 · 4 mm) column with stationary phase Merck LiChro-
spher
Ò
(Darmstadt, Germany) 100 RP-18 (5 lm) was used.
Preparation of metabolites
High-purity MG was prepared by acid hydrolysis of meth-
ylglyoxal dimethylacetal, in 10% (v ⁄ v) H
2
SO
4
, and purified
The glyoxalasepathwayinLeishmaniainfantum M. Sousa Silva et al.
2394 FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS
by fractional distillation under reduced pressure in nitrogen
atmosphere [30]. The solution obtained was calibrated with
yeast Glx I and bovine liver Glx II.
Oxidized glutathione (GSSG) and oxidized trypanothione
(TS
2
) were reduced with dithiothreitol, inthe proportion of
1mm GSSG or TS
2
)3.2 mm dithiothreitol. The reaction
was performed at 60 °C for 20 min, ina 1.5 mL reaction
system, in 0.1 m potassium phosphate buffer, pH 6.8.
SDL-TSH was prepared from reduced trypanothione and
MG using yeast glyoxalase I. MG was added in excess
(3.34 mm ina 2 mL reaction system), andthe hemithio-
acetal concentration was calculated using the value of
3.0 mm for the dissociation constant [31]. Glyoxalase I
reaction was started bythe addition of yeast Glx I. The
formation of SDL-TSH was followed at 240 nm, and its
concentration was calculated using a e
240
of 6.5 mm
)1
Æcm
)1
[13]. The enzyme was removed after completing the reaction
using an Ultrafree-MC Filter 5KDa (Millipore, Billerica,
MA, USA), andthe recovered solution was used for the
glyoxalase II activity assay.
Leishmania infantum culture
Promastigotes ofLeishmaniainfantum clone MHOM ⁄
MA67ITMAP263 were grown in RPMI medium supple-
mented with 10% fetal bovine serum, 2 mml-glutamine,
50 mm Hepes sodium salt (pH 7.4), 35 UÆmL
)1
penicillin
and 35 l g ÆL
)1
streptomycin, at 25 °C [32].
Preparation ofLeishmaniainfantum extracts
Promastigotes of L. infantum at early stationary phase of
growth (about 150 mL, containing approximately 10
9
cells)
were washed twice in NaCl ⁄ P
i
, and suspended in 1 mL
NaCl ⁄ P
i
. To prepare the protein extracts for enzyme assays,
cells were submitted to eight freeze–thaw cycles (on ice and
50 °C) andthe supernatant was recovered after centrifuga-
tion at 10 500 g for 10 min. Protein concentration was quan-
tified according to Bradford using BSA asthe standard [33].
For thiol identification and MG quantification, cells were
lysed and deproteinized with 0.5 m perchloric acid. The sus-
pension was kept on ice for 10 min, vortexed for 2 min and
centrifuged at 4 °C, 10 500 g, for 5 min. The recovered
supernatant was immediately analysed or stored at )80 °C
[14].
Thiol assay
Intracellular thiols were derivatized with the fluorescent
label monobromobimane and analysed by HPLC. The deri-
vatization procedure was based on the methods described
by Tang et al. [34] andby Ondarza et al. [35], with some
modifications. A 100 lL aliquot ofthe L. infantum extract
(containing 10
8
cells) was neutralized with KOH and
centrifuged at room temperature for 3 min at 10 500 g. The
reduction of oxidized thiols was performed with dithiothrei-
tol at a final concentration of 0.4 mm in 0.5 m Tris ⁄ HCl
pH 8.0, for 20 min at 60 °C. Monobromobimane (in aceto-
nitrile) was added to a final concentration of 1 mm (200 lL
reaction system) andthe derivatization was carried out at
60 °C for 35 min, inthe dark. Perchloric acid, at a final
concentration of 0.5 m, was added to stop the reaction.
Thiol standards GSH and T(SH)
2
were submitted to the
same treatment. A 20 lL sample volume was injected. Elu-
tion of bimane-derivatized compounds was monitored by
fluorescence detection with excitation at 397 nm and emis-
sion at 490 nm, using a binary gradient of acetonitrile with
0.08% (v ⁄ v) TFA (solvent A) and water with 0.08% (v ⁄ v)
TFA (solvent B). The gradient program was: 0–5 min, 10%
(v ⁄ v) solvent B isocratic; 5–35 min, 10–30% (v ⁄ v) solvent
B; 35–40 min, 30–10% (v ⁄ v) solvent B. Separation was car-
ried out at a flow rate of 1.0 mLÆmin
)1
. GSH and T(SH)
2
were identified and quantitated by comparison with stand-
ards. Thiol concentrations were calculated from calibration
curves performed with known concentrations of monobro-
mobimane-derived thiols. For control samples, thiols were
blocked with 5 mm N-ethylmaleimide for 20 min at 60 °C
before derivatization.
Methylglyoxal assay
Intracellular methylglyoxal was measured in L. infantum
(100 lL extract) with a specific HPLC-based assay, by deri-
vatization with 1,2-diaminobenzene and using 2,3-dimethyl-
quinoxaline as internal standard [36].
Methylglyoxal synthase activity was assayed by measuring
methylglyoxal formation from DHAP. The reaction
occurred in 1 mL reaction volume, in 0.1 m potassium phos-
phate buffer, pH 6.8, at 30 °C. DHAP was added to a 50-
and a 100-lL aliquot ofthe L. infantum extract, to a final
concentration of 1 mm. The reaction was stopped with the
addition of perchloric acid to 0.5 m final concentration.
Controls were performed without L. infantum extract and
the rates of methylglyoxal formation compared. Methylgly-
oxal was measured in all samples, at time zero and after
2.5 h of incubation, with the HPLC assay referred to above.
Enzyme kinetic assays
Enzyme activities were determined at 30 °C ina 2 mL reac-
tion volume, in 0.1 m potassium phosphate buffer, pH 6.8.
Magnetic stirring inthe spectrophotometer cuvette was
used to maintain isotropic conditions.
The Glx I activity assay was based on the method des-
cribed by Martins et al. [20] with some modifications. Glx I
activity was assayed with GSH, with dithiothreitol reduced
GSSG, and with reduced trypanothione [T(SH)
2
], using
MG in excess (3.34 mm). Initial concentrations of GSH and
GSSG were calculated to give hemithioacetal concentra-
tions from 0.16 to 3.8 mm. Initial concentrations of T(SH)
2
M. Sousa Silva et al. TheglyoxalasepathwayinLeishmania infantum
FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS 2395
were calculated to give substrate concentrations from 0.035
to 0.97 mm. Hemithioacetal concentration was calculated
using the value of 3.0 mm for the dissociation constant [31],
and its formation was followed for 20 min after the addi-
tion of MG. Glyoxalase I reactions were started by the
addition ofthe protein extract (15 lg of total parasite pro-
tein) andthe formation of SDL-GSH or SDL-TSH was fol-
lowed at 240 nm. The concentration of these compounds
was determined using a e
240
of 2.86 mm
)1
Æcm
)1
[37] and
6.5 mm
)1
Æcm
)1
[13] for the SDL-GSH and SDL-TSH,
respectively. dithiothreitol does not interfere with Glx I
assays.
Glyoxalase II activity assay was performed using the
commercially available SDL-GSH and SDL-TSH prepared
from T(SH)
2
and MG using yeast glyoxalase I, as previ-
ously described. Concentrations of SDL-GSH between 0.5
and 4 mm were used and SDL-TSH concentrations between
0.05 and 0.10 mm were prepared. The reactions occurred in
the same conditions, and were started with the addition of
protein extract (15 lg of total protein). The hydrolysis of
both thiolesthers was followed at 240 nm. Glyoxalase II
activity with SDL-GSH was also assayed by following
GSH formation at 412 nm with 5,5¢-dithiobis(2-nitro-
benzoic acid) [20].
Determination of kinetic parameters
The kinetic parameters for glyoxalase I and II were deter-
mined using two different approaches, initial rate analysis
and time course analysis.
Initial rate data were fitted to irreversible single substrate
Michaelis–Menten models. Non-weighted hyperbolic regres-
sion bythe method of least squares was performed with the
program HYPER (J. S. Easterby, University of Liverpool,
UK; http://www.liv.ac.uk/$jse/software.html).
In time course analysis the parameters were determined
by minimization ofthe difference between experimental
time course data andthe corresponding values predicted by
the solution ofthe differential equations derived from a
mathematical model ofthe kinetic assay. In this analysis,
different models were tested. In ‘single-enzyme model’, only
the reaction ofglyoxalase I with an irreversible Michaelis–
Menten rate law was considered (Scheme 1).
HTA
SDL-TSH
[]
[]
HTA
HTA
1
1
1
+
=
m
K
V
v
In the ‘two-enzyme model’, the consecutive reactions of gly-
oxalase I andglyoxalase II, both with irreversible Michaelis–
Menten rate laws were considered (Scheme 2).
[]
[]
HTA
HTA
1
1
1
+
=
m
K
V
v
[]
[]
TSH-SDL
TSH-SDL
2
2
2
+
=
m
K
V
v
HTA
SDL-TSH
In ‘single-enzyme model with product inhibition’, only
the reaction ofglyoxalase I was considered, with an irre-
versible Michaelis–Menten rate law with competitive prod-
uct inhibition (Scheme 3).
HTA
SDL-TSH
[]
[]
[]
HTA
TSH-SDL
1
HTA
1
1
1
1
+
+
=
iP
m
K
K
V
v
The best fit for each model was obtained with the program
AGEDO [38] using two time courses of SDL-TSH. Minimi-
zation over the parameter space was performed using the
genetic algorithm ‘differential evolution’ [39]. In each search,
the best fit vector of kinetic parameters h was defined by the
minimum ofthe objective function SS(h) given by Eqn (1):
SS hðÞ¼
X
p
k¼1
X
n
k
i¼1
X
OBS
k
t
i
ðÞÀX
SIM
k
t
i
hðÞ
ÀÁ
2
Eqn ð1Þ
In this equation, p is the number of time courses used in
the analysis, n
k
is the number of points in time course k,
X
OBS
k
t
i
ðÞis the experimental value ofthe SDL-TSH for time
Table 3. Rate equations and kinetic parameters ofthe glyoxalase
pathway model. Rate equations are shown in Fig. 2. Kinetic models
for the two enzymes were experimentally validated by time course
analysis. Intracellular concentrations of methylglyoxal and trypano-
thione were calculated using an estimate ofthe L. infantum cell
volume of 75 lm
3
, based on cell measurement. Other constants
and metabolite concentrations were from previously published
works. Initial concentrations of MG, hemithioacetal and SDL-TSH
were zero.
Differential equations
dMG ⁄ dt ¼ (v
1
+ v
2
)–v
3
+ v
4
dHTA ⁄ dt ¼ v
3
– v
4
– v
5
dSDLTSH ⁄ dt ¼ v
5
– v
6
dT(SH)
2
⁄ dt ¼ – v
3
+ v
4
+ v
6
Rate equations
v
1
¼ k
1
GAP
v
2
¼ k
2
DHAP
v
3
¼ k
3
MG T(SH)
2
v
4
¼ k
4
HTA
v
5
¼ V
5
HTA ⁄ (K
m5
+ HTA)
v
6
¼ V
6
SDLTSH ⁄ (K
m6
+ SDLTSH)
Parameters
k
1
¼ 6.4 · 10
)3
min
)1
k
2
¼ 6.6 · 10
)4
min
)1
k
3
¼ 0.34 mM
)1
Æmin
)1
k
4
¼ 1.01 min
)1
V
5
¼ 2 · 3.042 mMÆmin
)1
V
6
¼ 2 · 2.653 mMÆmin
)1
K
m5
¼ 2 · 0.253 mM
K
m6
¼ 2 · 0.0980 mM
GAP ¼ 0.0072 mM
DHAP ¼ 0.16 mM
T(SH)
2
(at time zero) ¼ 2 x 0.45 mM
The glyoxalasepathwayinLeishmaniainfantum M. Sousa Silva et al.
2396 FEBS Journal 272 (2005) 2388–2398 ª 2005 FEBS
course k at time t
i
, and X
SIM
k
t
i
hðÞis the corresponding value
predicted bythe numerical solution ofthe differential equa-
tions of each kinetic model with parameters h. Differential
equations were solved by an Adams ⁄ BDF pair as imple-
mented inthe LSODA routine of odepack [40].
Modelling andcomputer simulation
Mathematical modellingandcomputersimulation were
used to evaluate the relative importance of critical parame-
ters oftheglyoxalasepathwayin L. infantum .
Simulations were performed with the software package
plas (A. E. N. Ferreira, University of Lisbon, Portugal;
http://www.dqb.fc.ul.pt/docentes/aferreira/plas.html) based
on a kinetic model oftheglyoxalasepathway (Fig. 2) des-
cribed in Table 3.
In this model, we assumed that theglyoxalasepathway is
only dependent on trypanothione and all the variables rep-
resent the concentration of total free thiol groups (T(SH)
2
),
total hemithioacetals and total lactoyl-thiol derivatives
(SDL-TSH). Bis and mono forms were not differentiated in
the model.
The response of steady-state concentrations to variations
of model parameters (flux of methylglyoxal formation, ini-
tial T(SH)
2
concentration andglyoxalase activities) were
simulated.
Acknowledgements
Work supported by project POCTI ⁄ ESP ⁄ 48272 ⁄ 2002
from the Fundac¸ a
˜
o para a Cieˆ ncia e a Tecnologia,
Ministe
´
rio da Cieˆ ncia e Tecnologia, Portugal.
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Leishmania infantum as a therapeutic target by modelling
and computer simulation
Marta Sousa Silva
1
,. evaluating the
relevance of the glyoxalase pathway as a potential therapeutic target by
revealing the importance of critical parameters of this pathway in