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9
The Kinetics
of Acetylcholinesterase Inhibition and the Influence
of Fluoride and Fluoride Complexes on the
Permeability of Erythrocyte Membranes - Page 6.
d) Inhibition of AChE by
Complexed Fluorides
Using the example of the
inhibition of AChE we pursued the question of
whether complexed fluorides inhibit an enzyme more
strongly than the fluoride amounts contained within
them if all the fluoride was in ionized form. If
this is the case, and if the existence of such
compounds in the organism can be supported or even
proven, then vagotonic fluoride effects in a
physiologically justifiable concentration range
might possibly be understood in this way.
We therefore studied the
inhibitory effect of the complexes dealt with
earlier using AChE from human erythrocytes, PChE
from human serum, and purified AChE from bovine
erythrocytes, obtainable commercially. We were
initially interested in the dependence of the
inhibition on the concentration of the complexes and
then, with the help of the remaining processes
discussed in section III,A,2, tried to make
statements about the inhibition kinetics.
Hexafluorosilicate
First we investigated the
inhibition by hexafluorosilicate of AChE from bovine
erythrocytes (Serva), AChE from human erythrocytes
(using intact cells), and PChE from human serum
(using non-purified serum). The results are
presented in figure 22. The inhibition of PChE again
depicts a non-monotonic course (see figure 9).
Figure 22
– Cholinesterase Inhibition as a Function of
Hexafluorosilicate Concentration

-
Purified bovine erythrocyte
AChE
-
AChE from human erythrocytes in
Ringer's solution at pH 7.4; AChE concentration
0.72 x 10-2 M; inhibitor MgSiF6.
-
PChE from human serum;
controlled variables otherwise as in 2.
To study whether the kinetics are
homogeneous within the concentration range used in
the experiment, we plotted (vo/v)-1
against the concentration of inhibitor. The results
are presented in Figure 23. In the initial section
the lines run linearly. Curve 2 has a critical start
value and therefore does not come out of the origin.
A certain initial concentration of inhibitor is
therefore necessary for inhibition to begin. We
could make this observation in all analogous
investigations of intact erythrocytes in a Ringer's
solution.
Figure 23
- Dependence of (vo/v) -1 on the
Concentration of Inhibitor.
(See Figure 22 for a legend for
the curves)
In contrast to the analogous
curves with NaF as the inhibitor (figure 10), these
curves leave the linear domain above a certain
concentration, and thereby also leave the domain of
validity of equations 16-18 for n=1. In order to
determine if a change occurs in the order of the
complex building reactions between enzyme and
inhibitor within the concentration range of the
experiment we plotted the coordinates from figure 23
in double logarithmic form. According to equations
19-21, sections of straight line should arise if the
number of inhibitor binding regions in the enzyme is
constant within the concentration range of the
experiment. The slope of these lines should be a
measure of the number of binding regions.
Figure 24
– Log-Log Plot of (vo/v) -1 vs. the
Concentration of Inhibitor.
In the case of the purified
enzyme (1), two straight lines can be drawn to
approximate the course of the curve. The SiF62-
concentration at the bending point is 1.43 x 10-3
M. The slopes have the following values:
in the region of lower
concentration: n=0.81
in the region of higher
concentration: n=1.23
According to these values, the
number of binding sites spontaneously increased at
the given concentration.
Curves 2 and 3, which are derived
from measurements of human erythrocytes and serum,
are curved across their entire length. One
possibility is that the number of binding sites on
the enzyme is constantly changing, which would mean
that in these functional groups, which are
frequently represented in the large protein
molecule, accumulation occurs in a non-specific way.
The other possibility is that the relatively small
buffering capacity of the Ringer's solution does not
hold its ground against the hydrolysis of the
complex, so that the pH shifts, which leads to an
increase in the inhibitory capacity of the fluoride
ions that arose from hydrolysis, since the formation
of free HF would increase. A clear kink in the
curves, at least in the case of the PChE from serum,
is nonetheless visible here as well. Apparently,
when a certain concentration of hexafluorosilicate
(that is to say its partially hydrolyzed product) is
reached, the form of the enzyme binding changes.
This change blocks substrate binding. To uncover the
nature of this binding we investigated the
dependence of inhibition on the concentration of
substrate in a double reciprocal plot.
Figure 25
- Lineweaver-Burk Diagram of the AChE-ACh System in
a Phosphate-Citrate Buffer at pH 7.7.

-
AChE-ACh
-
AChE-ACh + 0.71 x 10-3
M Na2SiF6
-
AChE-ACh + 1.42 x 10-3
M Na2SiF6
According to this figure, the
inhibition is non-competitive. Using equation 8 we
can calculate the inhibitor-constant to be: KI
= (1.82 +/- 0.06) x 10-3 M. The next
figure shows the same plot with human serum.
Figure 26
- Lineweaver-Burk Diagram of PChE-ACh system in
Veronal/HCL Buffer, pH 7.4

-
PChE-ACh [not inhibited]
-
PChE-ACh + 0.2 x 10-3
M MgSiF6
-
PChE-ACh + 1 x 10-3
M MgSiF6
The course of the inhibition is
mixed-competitive. In this case the inhibitor
constant derived from equation 11 is: KI
= (1.53 +/- 0.07) x 10-3M. The kinks in
curves 1 and 2 after 1/[S] = 3.25 or [S] = 0.31 x 10-3
M are particularly conspicuous. This situation
probably again arises from the individual enzymes'
differing affinities for the substrate. The linear
course of curve 3 might be due to the components
that caused a kink in the two lower curves already
being completely inhibited at this concentration of
inhibitor. Only inhibitor concentrations of [ACh] >
0.31 x 10-3 M were used to calculate the
inhibitor constants. These "constants" are, however,
not real dissociation constants, but rather a
cumulative value. One can only use them to describe
an inhibitory effect of a MgSiF6 solution
on PchE, based on equation 15.
The mixed competitive
characteristic stems from the fact that the F ions
that were freed during the partial hydrolysis of SiF62-
cause a competitive inhibition of HF, with which
they are in equilibrium. Meanwhile, the residual
complex causes a non-competitive inhibition. That
this observation did not appear in the measurement
represented in Figure 25 is in and of itself
astonishing. It might be because the inhibitory
effect of free fluoride on the PChE is of greater
importance in relation to the Si-complex than in the
case of AChE from bovine erythrocytes, where the
inhibitory effect of the residual complex covers
that of the free F-.
We made a very interesting
observation when we simultaneously added the complex
from aqueous solution (in which the hydrolysis runs
distinctly more slowly due to the low pH level that
develops) and the substrate to the buffered enzyme
solution. At this moment the hydrolysis must
approach a constant end-value in a manner analogous
to that depicted in figure 16. One can, however,
assume that the solution will become saturated more
quickly because the complex is already in solution,
while in the other case it would first have to
dissolve. We otherwise ran the measurement as
described for figure 26.
Figure 27
- Lineweaver-Burk Diagram of the AChE-ACh System
with the Addition of MgSiF6

-
AChE-ACh
-
AChE-ACh + 2 x 10-4
M MgSiF6
-
AChE-ACh + 10-3 M
MgSiF6
The inhibition is competitive and
unusually strong. The inhibitor constant has a value
of KI = 2.9 x 10-5 M and is
thereby 52 times smaller than for the measurement
given in figure 25, in which the Na2SiF6
solution was added a half hour before the substrate
was added. The difference surely can not be solely
explained by the use of different cations (Na+
and Mg2+ respectively) or different
buffers (citrate-phosphate buffer - pH 7.7 and
Veronal/HCl buffer - pH 7.4 respectively).
Apparently there were ions present shortly after
initiation of hydrolysis that are highly active with
regard to the AChE and can compete with the
substrate at the active site of the enzyme. Whereas
after some time passes, during which an aging of the
hydrolysis product begins, a form develops, perhaps
through chain elongation, that binds to the enzyme
outside of the active site. The inhibition capacity
simultaneously diminishes significantly.
We must now also take into
account that the enzymatic inhibitions, as they are
represented in figure 22, consist of two factors,
one of which is triggered by free F-
(which acts by way of HF), and the other of which
arises from the residual complex. Since we have
measured the degree of hydrolysis [dissociation] of
SiF62- at pH 7.4 (see figures
16 and 17) and also know the inhibition by fluoride
of active ACh enzymes in human blood at pH 7.4 (see
figure 9) we can, through subtraction, determine the
portion produced by the residual complexes. This is
shown in figures 28 and 29. The lower curves
correspond to the portion of the total inhibition
represented by the residual complexes. We used a
middle level of hydrolysis of
a
= 0.6 as a basis.
Figure 28.
Human Erythrocyte AChE Inhibition
Due to MgSiF6 in Ringer’s Solution
(Total and Fraction Assigned to
Residual Complex)

-
Total Inhibition of human
erythrocyte AChE by fluosilicate in a Ringer's
Solution
-
Difference curve after
subtracting the portion inhibited by F-.
Figure 29.
Human Serum PChE Inhibition Due to MgSiF6 in
Ringer’s Solution
(Total and Fraction Assigned to
Residual Complex)

-
Total inhibition of human serum
PChE by fluosilicate in a Ringer’s Solution.
-
Difference curve after
subtracting the portion inhibited by F-.
One can recognize that the
inhibitory effect of a [SiF6]2-
solution is stronger than the corresponding
amount of free F- that it releases. In
the case of AChE the total inhibition by the complex
is nearly twice as large as that of the free
fluoride ions. In the case of PChE the F ions
represent the larger portion; however, here too the
residual complex accounts for a significant portion
of the total inhibition.
Inhibition of AChE by Additional
Fluoride Complexes
In order to discover if other
fluoride complexes could inhibit AChE and if there
is a relationship to the size as well as the charge
of the complexes, we studied the effects of the
following complexes: BF4-, AlF63-,
GeF62-, and PF6-.
We described the hydrolytic behavior of these
complexes in the previous chapter.
Hexafluorogermanate
The dissociation level of these
compounds in veronal/HCl buffer at pH 7.4 was
a
= 0.83, which is exactly equivalent to five fluoride
ions splitting from the complex. When we performed
the inhibition tests with AChE from human
erythrocytes in Ringer's solution we observed
something that was unique to this complex. Since the
buffering capacity of the Ringer's solution was not
sufficient to counteract the H+ ions set
free by the hydrolysis, the pH value shifted into
the acidic region. This shift should, according to
figure 12, result in a decrease of the self-saponification
rate of the ACh, since this ester is saponified from
OH- through a catalytic effect. We,
however, observed the opposite. Despite a decrease
in the OH- concentration, the
saponification rate increased with rising GeF62-
in the absence of enzyme.
Figure 30
- Self Saponification Rate of ACh as a Function of
GeF62- Concentration and the
pH Value in Ringer's Solution.
Reaction time = 0.5 hours.
The increase in the self
saponification rate of the ACh could be brought
about by the catalytic effect of a germanium
complex. GeF62- that is
incompletely hydrolyzed in a more acidic medium.
Separated F- ions are not replaced by OH-,
so that the end product of the hydrolysis is GeF4
in this case.
Because of the two unoccupied d-orbitals,
this compound has the characteristics of a strong
"Lewis acid", which can catalyze saponification
reactions that run according to a SN2
mechanism through its polarizing effect. In this
case it exerts an "electron pull" on the carbonyl
oxygen of the ACh and thereby strengthens the
positive partial charge on the C atom. The following
schematic gives an overview of the probable course
of the reaction:
The positive carbon reacts out of
this transition state upon addition of an H2O
molecule! An intra-molecular rearrangement of the
bonds then leads to the products of reaction,
choline and acetic acid, whereby the catalyst is
reformed.
Because of the pH shift that
arose when K2GeF6 dissolved in
Ringer's solution, we could not study the effect of
this substance on the AChE of intact erythrocytes.
We therefore used PChE from human serum in a
phosphate-citrate buffer. The next figure shows the
course of the enzymatic inhibition as well as the
difference curve, which we derived by subtracting
the F- portion.
Figure 31.
Human Serum PchE Inhibition by K2GeF6
in Phosphate-citrate Buffer
-
Total. Inhibition of the PChE
of Human Serum by K2GeF6.
-
The Difference Curve after
Subtracting the F- Portion .
As one can see, the inhibition is
predominantly caused by the fluoride, which means
that in this case the residual complex is hardly in
a position to cause an enzymatic inhibition.
Remaining Complexes
All the other complexes, BF4-,
PF6-, and AlF63-,
only inhibit the enzymes as much as the proportion
of fluoride ions released by their hydrolysis. This
means that only the bivalent representatives of the
fluoride complexes can cause an inhibition while the
inhibition strongly decreases upon transition from
SiF62- to GeF62-.
The effect of fluoride on the
cholinesterases can therefore be increased when
fluoride is used in a Si complex (e.g. as MgSiF6)
instead of in ionized form (e.g. as NaF). The [SiF6]
2- ion is particularly effective
when it is not hydrolyzed until it reaches the place
where it acts, since apparently reactive
intermediate products form that can cause a
competitive inhibition of the AChE. This can be the
case when the substance was previously absorbed in
the stomach, where hydrolysis does not take place
because of the acidic medium that is predominant
there. But the fact that the remaining fluoride
complexes do not display such an effect does not
mean that they are of no biological importance.
Especially in the case of AlF63-,
which is widespread in nature, comprehensive studies
of its effects on many possible biological processes
should be carried out. This would probably
contribute to an understanding that the role of
fluoride in the nature of organic life is not
limited to just the effectiveness of free fluoride
ions.
Introduction |
Contents |
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6 |
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