Originally published In Press as doi:10.1074/jbc.M910272199 on April 3, 2000
J. Biol. Chem., Vol. 275, Issue 24, 18382-18390, June 16, 2000
Base Stacking and Even/Odd Behavior of Hairpin Loops in DNA
Triplet Repeat Slippage and Expansion with DNA Polymerase*
Michael J.
Hartenstine,
Myron F.
Goodman
, and
John
Petruska
From the Department of Biological Sciences, Hedco Molecular Biology
Laboratories, University of Southern California,
Los Angeles, California 90089-1340
Received for publication, December 23, 1999, and in revised form, March 29, 2000
 |
ABSTRACT |
Repetitions of CAG or CTG triplets in DNA can
form intrastrand hairpin loops with combinations of normal and
mismatched base pairs that easily rearrange. Such loops may promote
primer-template slippage in DNA replication or repair to give
triplet-repeat expansions like those associated with neurodegenerative
diseases. Using self-priming sequences (e.g.
(CAG)16(CTG)4), we resolve all hairpin loops
formed and measure their slippage and expansion rates with DNA
polymerase at 37 °C. Comparing CAG/CTG loop structures with GAC/GTC
structures, having similar hydrogen bonding but different base
stacking, we find that CAG, CTG, and GTC triplets predominantly form
even-membered loops that slip in steps of two triplets, whereas GAC
triplets favor odd-numbered loops. Slippage rates decline as hairpin
stability increases, supporting the idea that slippage initiates more
easily in less stable regions. Loop stabilities (in low salt) increase in the order GTC < CAG < GAC < CTG, while slippage
rates decrease in the order GTC > CAG
GAC > CTG.
Loops of GTC compared with CTG melt 9 °C lower and slip 6-fold
faster. We interpret results in terms of base stacking, by relating
melting temperature to standard enthalpy changes for doublets of base
pairs and mispairs, considering enthalpy-entropy compensation.
 |
INTRODUCTION |
Repetitive DNA sequences such as tandemly repeated triplets of
bases are abundant and highly polymorphic in the human genome, probably
because of strand slippage promoted by repetition in DNA replication,
repair, or recombination (1-6). Occasionally, a repetitive region
within a human gene expands sufficiently to cause inherited human
disease (7). At least 12 neurological disorders are associated with
triplet repeat expansions within human genes (5).
Eight such disorders arise by the expansion of CAG repetitions in gene
regions encoding glutamine repeats in protein. In each case, involving
a different gene (Huntingon's disease, spinobulbar muscular atrophy,
dentatorubral-pallidoluysian atrophy, and spinocerebellar ataxias 1, 2, 3, 6, and 7), the number of CAG repeats in tandem is expanded from a
normal range of 5-30 to a disease-causing range of 40-100 (5). The
resultant polyglutamine expansion in protein may cause disease by
forming insoluble nuclear protein aggregates (8-10), possibly with
cross-linking by transglutaminase (11, 12), an enzyme abundant in the
brain (13, 14), enabling glutamine reaction with lysine to form a
peptide-like cross-link between polypeptides.
Another four disorders involve other triplet repetitions expanded in
noncoding regions of genes. Myotonic dystrophy, for example, is
associated with repeating CTG triplets expanded in an untranslated 3'-terminal gene region, from a normal range of 5-40 repeats to a
disease-causing range of 50-3000 (5). Expansions of this magnitude are
also observed in CGG repeats and CCG repeats, found in 5'-untranslated
regions of genes associated with fragile X syndromes A and E,
respectively (5). Similarly large increases are observed for GAA
repetitions in an intron of a gene associated with Friedreich's ataxia
(5). In each case, the noncoding region involved is transcribed into
RNA but not translated into protein. The increased number of
repetitions in RNA may cause disease by interfering with RNA
transcription or processing within cell nuclei (15-18).
In DNA undergoing replication or repair, repeating triplets may enable
one DNA strand to slip relative to the other so that the number of
triplet repeats can be expanded by DNA polymerase (2, 4, 19). Also,
because CNG triplets associated with disease can form intrastrand
hairpin folds with secondary structure (20-22), it is of interest to
determine how such folding affects slippage and expansion with
polymerase. Recently, we developed a convenient in vitro
assay, using self-priming repeat sequences, to measure rates of
slippage and expansion in relation to hairpin structure (4).
In an earlier study of the major (CAG/CTG) class of disease-associated
triplets (4), we examined DNA polymerase extension products of the
self-priming sequence, (CTG)16(CAG)4, which
forms a well defined series of hairpin loops. Using high resolution gel
electrophoresis to analyze product lengths, we found that the CTG
repeats form loops that are predominantly even-membered (i.e. have even rather than odd numbers of bases in the
hairpin bend). The products of polymerase extension were observed to
slip and expand in steps of two triplets at rates of ~1 step/min at 37 °C. In the present study, a similar analysis is made for the complementary case, (CAG)16(CTG)4, and
"sister" cases obtained by replacing CAG/CTG with GAC/GTC. Since
these cases exhibit the same hydrogen bonding with different base
stacking, they reveal the influence of base stacking on the even-odd
character of hairpin folds and slippage rates leading to repeat
expansions with polymerase.
 |
EXPERIMENTAL PROCEDURES |
Materials
DNA Synthesis--
Like the self-priming DNA 60-mer,
5'-(CTG)16(CAG)4-3' previously studied (4), the
complement (CAG)16(CTG)4 and sisters, (GTC)16(GAC)4 and
(GAC)16(GTC)4, were each synthesized using
-cyanoethyl phosphoramidites in an Applied Biosystems DNA/RNA
synthesizer and purified by electrophoresis on denaturing 12%
polyacrylamide gel. Each DNA 60-mer extracted from gel was dialyzed
extensively against the same 0.02 M Na+
phosphate buffer used previously (4) (5 mM
NaH2PO4, 5 mM
Na2HPO4, 1 mM Na4EDTA,
pH 7.0) and stored at
70 °C.
DNA Polymerase and Substrates--
The KFexo
polymerase used to achieve rapid primer 3' extension on template, an
Escherichia coli DNA polymerase I Klenow fragment mutant
(D355A,E357A) devoid of 3'
5' as well as 5'
3' exonuclease activity, was purified from overproducing strains (23). The dNTP
substrates used in extension experiments were purchased from Amersham
Pharmacia Biotech, along with ddNTPs employed for sequence analysis of
extended products.
Methods
Melting Curves--
Thermal denaturation profiles were obtained
for each DNA 60-mer at the same strand concentration (2 µM) in 0.02 M Na+ phosphate
buffer (4), by measuring UV absorbance (A260)
versus temperature, from 20 to 85 °C at 2 °C/min.
Radiolabeling--
For use in extension reactions, DNA 60-mers
were 5'-labeled with 32P, using [
-32P]ATP
and T4 polynucleotide kinase (U.S. Biochemical Corp./Amersham Pharmacia
Biotech) in kinase buffer (50 mM Tris-HCl, pH. 7.6, 10 mM MgCl2, and 10 mM
2-mercaptoethanol). As before (4), labeled samples at 100 nM strand concentration were unfolded by heating at
100 °C for 5 min and refolded by slow cooling to room temperature and then stored at 4 °C to avoid intermolecular associations
promoted by freezing (22).
Extension Reactions--
Radiolabeled DNA samples at 10 nM strand concentration, in polymerase reaction buffer (50 mM Tris-HCl, pH 7.5, 10 mM MgCl2), were incubated at 37 °C for 5 min to allow equilibration. A 120-µl aliquot was then micropipetted into a 0.5-ml polypropylene
microcentrifuge tube containing 30 µl of polymerase plus dNTPs in
reaction buffer at 37 °C, at which point (within 3 s), running
time (t) for reaction was started. The concentrations of DNA
polymerase KFexo
and each dNTP in the reaction
mixture were 60 and 400 nM, respectively. After short
intervals of reaction time (t = 15 s, 30 s,
etc.), a 5-µl aliquot of reaction mixture was removed and added
(within 2 s) to 10 µl of 20 M formamide solution
containing 20 mM EDTA to quench the reaction.
Denaturing Gel Electrophoresis--
Extension products of
radiolabeled DNA were separated into bands of increasing chain length
by electrophoresis at 2000 V on 12% polyacrylamide slab gel (40 cm × 40 cm × 0.2 mm) containing 16 M formamide
as denaturant, in TBE buffer (90 mM Tris borate, pH 8.3, 2 mM Na2EDTA). Gels were dried on paper and
scanned by a Molecular Dynamics Storm 860 PhosphorImager. FragmeNT
Analysis software (Molecular Dynamics) was used to integrate the
intensity of each radioactive band in a gel lane, expressed as a
percentage of total integrated band intensities in the lane.
Resolution of Hairpin Loops--
In each of the four cases
studied here, the initial 60-mer sequence (A) forms a series
of self-primed hairpin loops, An (n = 0, 1, 2, etc.), where n is the number of overhanging
template triplets at the 5'-end, as illustrated (Fig. 1,
a-d), with an asterisk indicating the 5'-end
labeled with 32P. The loops are rapidly extended to their
corresponding blunt-end products by adding DNA polymerase and
sufficient amounts (0.4 µM each) of the three dNTPs
needed to reach near maximum velocity of primer extension on template,
with minimal background "pause" banding caused by misinsertion or
terminal transferase activity (4). In 15 s of reaction time
(t) with polymerase, the primer 3'-end of
An is extended by n primer triplets to
form the corresponding blunt-end product, An plus
n triplets, measured as a discrete gel band intensity
(In) by denaturing gel electrophoresis and
PhosphorImager analysis. Each In (n = 0, 1, 2, etc.) changes as reaction time t is increased,
because each blunt-end product undergoes slippage and further extension
with polymerase. By analyzing In versus
t and extrapolating back to t = 0, we
evaluate In0, indicating the approximate
amount of loop An present initially, before
polymerase was added.
The loops are classified as even-numbered or odd-numbered, depending on
whether an even or odd number of bases is enclosed within the loop. The
even-numbered loops (n = 0, 2, ... 10) have the
same kind of hairpin bend made with an even number of unpaired bases,
minimally four as shown (Fig. 1, a-d). The odd-numbered loops (n = 1, 3, ... 11) have another kind of bend
made with an odd number of unpaired bases (minimally 3). The other
loops shown (n = 12-15) have one or more primer
triplets in the bend region where there is less opportunity for correct
base pairing; these are much less stable loops, indicating how bend
regions change as primer triplets enter the bend region in extreme
cases of slippage.
Evaluation of Band Intensity Io--
The initial
blunt-ended loop, A0, which cannot be extended
unless slippage occurs, is seen as band intensity
I0 remaining after 15 s of reaction. As
A0 undergoes slippage to an extendable form
(A1, A2, etc.),
I0 declines in a simple manner, suggesting a
first order differential equation, dI0/dt =
k0I0, or in terms of
measured differences (
) as follows,
|
(Eq. 1)
|
where k0 is the slippage rate constant
and I0 is the average intensity value measured
in a short time interval,
t, of 15 or 30 s. For
t between reaction times tx and
ty, the intensity change is
I0 = I0(ty)
I0(tx), and the corresponding
I0 on the right side of Equation 1 is the average value, Io = 0.5(I0(tx) + I0(ty)).
In our experiments, I0 decays to a low residual
"background" intensity (I0b) that remains
nearly constant, indicating that a small fraction (<1%) of initial
60-mers are unreactive at the 3'-end. To take
I0b into account, we modify Equation 1 as
follows.
|
(Eq. 2)
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The resultant integrated equation is then the following,
|
(Eq. 3)
|
where I00 is the initial
intensity corrected for background.
To evaluate I0b and rate constant
k0, we plot
I0/
t versus
I0 and fit a straight line by least squares,
obtaining slope
k0 and intercept
k0I0b according to
Equation 2. Then, using Equation 3, we plot
ln(I0
I0b)
versus t and linearly extrapolate to
t = 0 to obtain I00,
indicating the amount of A0 present initially,
as a percentage of total loops An (n = 0-11).
Slippage Rate Constant Evaluation--
The rate constant
k0 indicates the rate of
A0 slippage, resulting in extension with DNA
polymerase. Two k0 components are examined,
k01 contributing to band intensity
I1 (by A0
A1 slippage and extension by 1 triplet) and
k02 contributing to I2
(by A0
A2 slippage
and extension by 2 triplets). To determine the relative magnitude of
these components, we start with the differential equations,
dI1/dt = k01I0
k1I1 and
dI2/dt = k02I0 + k12I1
k2I2 and replace
differentials by measured differences, as in Equation 1 as follows.
|
(Eq. 4)
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(Eq. 5)
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Equation 4 is used to evaluate k01 and
k1 by a linear least squares fit to a plot of
I1/(I1
t)
versus
(I0/I1). To evaluate k02 and k2 in a similar
manner, we examine linear versions of Equation 5 obtained for three
different approximations: (a) k02
k12, (b)
k02
k12, and
(c) k02
k12. Experimental plots of
I2/(I2
t)
against (a)
(I0/I2), (b)
(I0 + I1)/I2, and
(c) I1/I2 are
then compared to determine which plot gives the best linear least
squares fit for k2 evaluation. In all cases
where even-numbered loops predominate, approximation a gives
the best fit, indicating that extension following slippage is more
frequent in steps of two triplets than in steps of one triplet. Only in
the case of (GAC)16(GTC)4, where odd-numbered
loops are favored over even-numbered, do we find approximations
b or c giving a better fit.
Having evaluated k0, k1,
and k2 as described above, we use a similar
approach to obtain other kn values for
n > 2. In each case, starting with the general form of
Equation 5,
|
(Eq. 6)
|
we apply approximations (a)
kn
2, n
kn
1, n, (b)
kn
2, n
kn
1, n, and
(c) kn
2, n
kn
1, n to determine which gives the best kn estimate by linear least
squares fit. In all cases where approximation a applies to
n = 2 (i.e. k02
k12 in Equation 5), we find that the
corresponding general approximation
(kn
2, n
kn
1, n) also applies to
Equation 6 for evaluating other even-numbered kn values (n = 4, 6, etc.). By using the
kn values measured with corresponding simplified
(linear) versions of Equations 5 and 6, we extrapolate
In back from t = 15 s to
t = 0, to estimate In0,
indicating the initial amount of loop An present before extension with polymerase.
 |
RESULTS |
Each of the self-priming sequences examined here, like
(CTG)16(CAG)4 previously studied (4), forms a
series of hairpin loops, An (n = 0, 1, 2, etc.), with stable p/t1
duplex enclosing a less stable t/t loop domain (Fig.
1, a-d). The subscript
n in An indicates that there are n overhanging template triplets on which DNA polymerase can
extend the primer 3'-end rapidly (in seconds) to yield blunt-end
product (An + n triplets) proportional to
the amount of An present. With increasing reaction
time, each blunt-end product undergoes slippage, allowing more triplets
to be added by DNA polymerase, as shown in Figs.
2 and
3.


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Fig. 1.
Possible hairpin loops formed by self-priming
sequences of CAG/CTG and GAC/GTC triplet repeats. A,
self-priming DNA sequence having 16 repeats of a template triplet
followed by four repeats of complementary primer triplet;
An, hairpin fold of sequence A, having
n overhanging template triplets on which DNA polymerase can
rapidly add n complementary primer triplets to the primer
3'-end. a, loops An (n = 0, 1, 2, etc.) with hydrogen-bonded base pairs for sequence
5'-(CTG)16(CAG)4-3'; b,
corresponding loops for "sister" sequence of same base composition,
(GTC)16(GAC)4; c and d,
corresponding loops for respective "complementary" cases,
(CAG)16(CTG)4 and
(GAC)16(GTC)4. The hairpin bends in
even-numbered loops (n = 0, 2, ... 14) are made
with an even number of unpaired bases, minimally four as shown; those
in odd-numbered loops (n = 1, 3, ...
15) are made with an odd number of unpaired bases (at least three). The
hydrogen-bonded, Watson-Crick base pairs are indicated by
dots in a horizontal series; three dots
between triplets in parentheses indicate stably paired primer-template
triplets in the p/t duplex domain; two dots
between triplets in parentheses indicate less stably paired template
triplets in the t/t loop domain. The asterisk indicates the
5'-end of template labeled with 32P. Note that loops
An have n template triplets available for
extending primer 3'-end on template with DNA polymerase
(e.g. polymerase KFexo ). In the presence
of three dNTPs (n = C, G, and A or T), polymerase
KFexo rapidly extends An by
n primer triplets to form product blunt-end hairpins. The
products in each case, An plus (CAG)n
(a), An plus (GAC)n
(b), An plus (CTG)n
(c), or An plus (GTC)n
(d), are observed as a series of band intensities
In (n = 0, 1, 2, etc.) by denaturing
gel electrophoresis (Figs. 2b and 3b). The
changes in In with increasing reaction time are
measured to determine rates at which successive blunt-end product
hairpins undergo slippage resulting in further polymerase-catalyzed
expansion. Extrapolation of In to zero reaction time
yields In0, the initial amount of
An formed by each sequence.
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Fig. 2.
Comparison of
(CAG)16(CTG)4 and
(CTG)16(CAG)4 melting transitions and
corresponding band patterns showing triplets added with increasing time
of DNA polymerase reaction. a, melting curves obtained
by plotting UV absorbance A260 versus
temperature, at the same (2 µM) strand concentration in
low salt buffer, showing that (CAG)16(CTG)4 has
lower first Tm than
(CTG)16(CAG)4 (52 versus 56 °C)
but the same second Tm (79 °C). b,
patterns of bands on denaturing gel, obtained by reaction with DNA
polymerase KFexo at 37 °C, using 0.4 µM each of three dNTPs (N = C, G, and A
or T) required for correct extension of primer triplets on template
triplets. The outer lanes marked ddG
show bands corresponding to 1, 2, etc. primer triplets added, found
with ddGTP included in the reaction mixture to cause termination with
dideoxyguanosine.
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Fig. 3.
Comparison of
(GAC)16(GTC)4 and
(GTC)16(GAC)4 melting transitions and
corresponding band patterns showing triplets added with increasing time
of DNA polymerase reaction. a, melting curves obtained
by plotting UV absorbance A260 versus
temperature at the same (2 µM) strand concentration in
low salt buffer, showing that (GAC)16(GTC)4 has
higher first Tm than
(GTC)16(GAC)4 (54 versus 47 °C)
but the same second Tm (78 °C). b,
patterns of bands on denaturing gel, obtained by reaction with DNA
polymerase KFexo at 37 °C, using 0.4 µM each of three dNTPs (N = C, G, and T
or A) required for correct extension of primer triplets on template
triplets. The outer lanes marked ddC
show bands corresponding to 1, 2, etc. primer triplets added, found by
including ddCTP in the reaction mixture to cause termination with
dideoxycytidine.
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In each case (Fig. 1, a-d), the even- and odd-numbered
loops An up to n = 11 have all four
primer triplets correctly hydrogen-bonded and stacked in Watson-Crick
bp (indicated by dots) with four antiparallel, template
triplets located n triplets from the 5'-32P-end (*). The
p/t duplex in An (n = 0, 1, ...
11) encloses a t/t loop domain containing 12
n
template triplets. The t/t domain has the hairpin bend made with an
even or odd number of unpaired bases and also has mispaired bases held
between correct bp formed between opposing (antiparallel) template
triplets. Opposing triplets of type CTG or GTC form mispairs of type T
opposite T (T/T) held between correct G/C and
C/G bp (dots), as shown (Fig. 1, a and
b) for sequences (CTG)16(CAG)4 and
(GTC)16(GAC)4, respectively. On the other hand,
opposing triplets of type CAG or GAC form mispairs of A opposite A
(A/A), as shown (Fig. 1, c and
d) for (CAG)16(CTG)4 and
(GAC)16(GTC)4, respectively.
Loops A12 to A15
(Fig. 1, a-d), having fewer than four of the primer
triplets correctly bound to template triplets, are much less stable and
are hardly apparent initially. These loops are included to show how
bends change in extreme cases of slippage after more then 11 triplets
are added by DNA polymerase in longer reaction times (Figs.
2b and 3b).
Thermal Melting Profiles Reveal the Relative Stability of the Two
Domains--
To measure the relative stability of loop structures
formed in absence of polymerase, thermal denaturation curves were
obtained for each 60-mer sequence in low salt buffer (0.02 M Na+), by plotting UV absorbance
(A260) versus temperature (Figs. 2a and 3a). In each case, as found previously for
(CTG)16(CAG)4 (4), two sigmoidal transitions
are evident, the first with melting temperature (Tm)
below 60 °C and the second with Tm near
80 °C.
The first transition indicates the melting of the t/t loop domain
containing the base pairs and mispairs of template triplet interactions. As anticipated from previous work (22) and seen by
comparing Figs. 2a and 3a, this domain is most
stable for CTG triplets (Tm = 56 °C) followed by
GAC (54 °C), CAG (52 °C), and last GTC (47 °C). The second
transition indicates the dissociation of stable p/t duplex, which melts
at nearly the same temperature (Tm
79 °C) in
all four cases.
If slippage in the stable p/t duplex is promoted by slippage in the
less stable t/t domain, as we suggested previously (4), then
(GTC)16(GAC)4, having the lowest
Tm for the first transition (47 °C, Fig.
3a), should also have the highest rate of slippage and
expansion with polymerase. This is evidently the case, as seen by
comparing gel band patterns (Figs. 2b and 3b) obtained by primer extension with DNA polymerase
KFexo
at 37 °C, for reaction times
ranging from 0.5 to 16 min.
Polymerase Extension Products Resolved by Gel Electrophoresis and
PhosphorImager Analysis--
The addition of DNA polymerase
KFexo
and appropriate (0.4 µM) dNTP
substrates results in rapid extension of loops An to
their blunt-end products, An + n
triplets, resolved as band intensities In by
electrophoresis and 32P PhosphorImager analysis (Figs.
2b and 3b). After stopping the reaction at
various times and resolving product bands in gel lanes, we evaluate
band intensities I0, I1,
I2, etc. by integration in each lane, to measure
the relative amounts of products A0, A1 + 1 triplet, A2 + 2 triplets, etc. as a function of time. The In values
obtained at times of 0.25 and 0.5 min, before products rearrange
significantly by slippage, are used for extrapolation back to 0 time,
to obtain In0, indicating the initial
amounts of An present when polymerase was added.
In the case of (CTG)16(CAG)4, whose band
patterns are shown in Fig. 2b (left), we see that
the loops are predominantly of the even-numbered type, as previously
reported (4). The complementary case,
(CAG)16(CTG)4, shown in Fig. 2b
(right), also forms mainly even-numbered loops, as does
(GTC)16(GAC)4, shown in Fig. 3b
(left) After 0.5 min of reaction time, the most intense
bands correspond to even numbers of triplets added (0, 2, ... 10).
As reaction time is increased, the band intensities gradually change as
blunt-end products rearrange by slippage and are expanded further,
mainly in steps of two triplets.
Extension by Slippage Compared with Melting Temperature--
By
examining band intensity changes with reaction time (Fig.
2b), we see that expansion by slippage is several times
faster for (CAG)16(CTG)4 than for
(CTG)16(CAG)4. A faster slippage rate is in
keeping with the observation (Fig. 2a) that the first
transition has a 4 °C lower Tm value, 52 °C,
compared with 56 °C for (CTG)16(CAG)4, The
second transition in both cases is the same (Tm = 79 °C).
The "sister" sequence (GTC)16(GAC)4, which
has the same base composition as (CTG)16(CAG)4,
has a much lower first transition (Tm = 47 °C),
with no significant change in the second transition
(Tm = 78 °C), as seen in Fig. 3a. The
first Tm is 9 °C below that for
(CTG)16(CAG)4, and the rate of expansion by
slippage is also much faster as found by comparing the gel band
patterns in Figs. 3b (left) and 2b
(left) Nevertheless, (GTC)16(CAG)4
still forms even-numbered loops preferentially and slips in steps of
two triplets, as do (CTG)16(CAG)4 and
(CAG)16(CTG)4.
In contrast, (GAC)16(GTC)4, which has the same
base composition as (CAG)16(CTG)4, tends to
form odd-numbered loops. Unlike the other three cases, the most intense
bands in this case (Fig. 3b, right) correspond to
odd numbers of triplets added (1, 3, 5, etc.). The changes in band
intensity with time indicate that expansion by slippage is much slower
than observed for (GTC)16(CAG)4 in Fig.
3b (left), being comparable with that of
(CAG)16(CTG)4 in Fig. 2b
(right). A slower slippage rate is consistent with the
melting curve in Fig. 3a, showing that the first transition for (GAC)16(GTC)4 has Tm = 54 °C, about 7 °C higher than observed for
(GTC)16(GAC)4 (Fig. 3a) and 2 °C
above that found for (CAG)16(CTG)4 (Fig.
2a).
Initial Blunt-end Hairpin Amount and Slippage Rate--
In all
four cases, after 15 s of reaction, band intensity
I0, representing blunt-ended hairpin
A0, shows simple exponential decay to a small
residual "background" intensity I0b, which
we evaluate by Equation 2 under "Experimental Procedures." The rate constant k0 for this decay is obtained from a
linear least squares fit to a plot of ln(I0
I0b) versus reaction time, according to Equation 3. Extrapolation to 0 time yields an
I00 value indicating the initial
amount of A0 present at the time polymerase was added.
By evaluating two components of k0, namely
k01 for slippage by one triplet
(A0
A1) and
k02 for slippage by two triplets
(A0
A2), as described
by Equations 4 and 5, we find that k01 is an
order of magnitude smaller than k02 in every
case except (GAC)16(GTC)4. For the latter case,
k01 appears equal to or greater than
k02, verifying that this case differs from the
rest by forming odd-numbered loops equally well or better than
even-numbered loops. A plot of k0 against
Tm for the first transition (Fig.
4) shows that
(GAC)16(GTC)4 has a k0
value (open circle) somewhat greater than
expected from the trend indicated by the other three cases
(solid circles). The slippage rate for
(GAC)16(GTC)4 (open
circle) is equivalent to that of
(CAG)16(CTG)4 (closed
circle), although the first transition Tm
is 2 °C higher, suggesting that the ability to slip by one triplet
as well as two enhances the rate.

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Fig. 4.
Rate constant k0
for A0 slippage and expansion in relation
to first Tm in melting profile. Results
shown as solid circles are for the three cases
that predominantly form even-numbered loops, mainly
A0, with k0 measuring
slippage by two triplets, A0 A2. These results indicate that
k0 declines with increasing
Tm of the first transition seen in Figs.
2a and 3a. The lone open
circle is for the case of
(GAC)16(GTC)4, which favors odd-numbered loops,
mainly A1 (Fig. 1d). In this case,
k0 measures slippage by both one triplet
(A0 A1) and two
triplets (A0 A2).
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Decline in Slippage Rate with Increasing Number of Triplets
Added--
While k0 measures the slippage rate
within the initial blunt hairpin A0, the
kn values obtained for n = 1, 2, etc. measure the slippage rates within the extended blunt-end hairpins,
An plus n triplets. The
kn values found in each case, by applying linear
versions of Equation 6 under "Experimental Procedures," are shown
plotted against increasing n (Fig.
5). As expected, extension increases
hairpin stability, so kn decreases as n
increases. The kn values decline monotonically to
similar low values at n = 10 for the two complementary
cases with CTG and CAG triplets and to similarly low values at
n = 11 for the sister cases with GTC and GAC triplets. For n > 11, the kn value shows a
more pronounced decline on a log scale (not shown), in keeping with our
expectation that primer triplets entering the hairpin bend lose base
pairing with template triplets, thereby making less stable bends as in
loops A12 to A15 (Fig. 1,
a-d).

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|
Fig. 5.
Decline in slippage rate with increasing
number of triplet repeats added by DNA polymerase. The rate
constant kn for slippage and extension of blunt-end
hairpin, An plus n triplets, was
evaluated from changes in band intensity In with DNA
polymerase reaction time, as described by Equation 6, using gel data
shown (Figs. 2b and 3b) and additional data at
0.25-min intervals (not shown).
|
|
Estimated Amounts of Loops Present Initially--
Using Equation 6
with observed kn values, we extrapolate each band
intensity In to time 0 of reaction, in order to
estimate In0, the amount of loop
An initially present. The In0 values shown plotted
versus n in a histogram (Fig.
6) were obtained using gel band patterns
like those in Figs. 2b and 3b, but for shorter
(15- rather than 30-s) intervals of reaction time, starting at 15 s (data not shown).

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Fig. 6.
Initial amounts of even- and odd-numbered
loops An obtained for CAG/CTG and GAC/GTC triplet repeat
sequences. The results shown are expressed as percentage of total
intensity of bands found by extrapolation to zero reaction time with
DNA polymerase, using rate constants (Fig. 5) and band intensities
observed in short reactions of 0.25 min (not shown) and 0.5 min (Figs.
2b and 3b).
|
|
Loop Stability in Relation to Base Stacking--
If the
stabilities of hairpin loops depended simply on the number of possible
hydrogen-bonded bp shown (Fig. 1, a-d), then the predicted
order of stability would be A0 > A1 > A2, etc. In this
case, initial band intensities should decrease in the order,
I00 > I10 > I2
o, etc., and slippage by one triplet
(A0
A1) should require less energy and occur more readily than slippage by two triplets (A0
A2). As
seen in Fig. 6, none of the four cases examined conform to this simple
model. Only in one case, (GAC)16(GTC)4, is
I10 greater than
I20, and in this case,
I10 is also greater than
I00. In the other three cases,
I10 is much less than
I00 and also less than
I20, indicating that odd-numbered
loops are less stable than even-numbered ones. Since the four cases
have the same hydrogen bonding in different nearest neighbor sequence
contexts, we see that nearest neighbor base stacking has a strong
influence on the even-odd character of hairpin loops and their stabilities.
We note that the even-numbered loops A0,
A2, ... A8 each have a
four-base bend held by two stacked bp (two adjacent dots) next to it (Fig. 1,
a-d). The odd-numbered loops, A1, A3, ...
A9, however, each have a three-base bend held by only
a single bp (lone dot). If this lone bp is
unstable because of unfavorable base stacking, there will be seven
rather than three unpaired bases in the odd-numbered bend. In this
case, with seven versus four unpaired bases in odd
versus even bends, A1 may become less
stable than A2, A3 less stable than A4, etc. so that slippage in steps
of two triplets becomes favorable (A0
A2
A4 etc.). This kind of behavior, which we first observed (4) for
(CTG)16(CAG)4 (Fig. 1a), we now also
observe for (GTC)16(GAC)4 and
(CAG)16(CTG)4 (Fig. 1, b and
c) but not for (GAC)16(GTC)4 (Fig.
1d). To explain this, we examine the stacking of nearest
neighbor doublets of base pairs and mispairs.
Evaluation of Nearest Neighbor Doublet Stabilities--
Both CAG
repeats (CAGCAG ... ) and CTG repeats (CTGCTG ... ) contain
the nearest neighbor doublet, GC. This self-complementary doublet
(5'-GC-3'), when hydrogen-bonded to its own kind in antiparallel, forms
the strongly stacked bp doublet, 5'-GC/CG-5', which has the highest
Tm value found for nearest neighbor doublets of DNA
base pairs in low to physiological salt concentrations (24). The
Tm value obtained for the GC/CG bp doublet is almost
as high in 0.02 M salt (136 °C) as in 1 M
salt, 139 °C (Table I).
View this table:
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|
Table I
Nearest neighbor doublet values of Tm and H0 for
melting obtained for the CAG/CTG and GAC/GTC classes of DNA triplet
repeats in 0.02 and 1 M Na+ salt solution
|
|
The strong base stacking within the bp doublet GC/CG is largely
responsible for the stability of both the p/t duplex domains of
(CTG)16(CAG)4 and
(CAG)16(CTG)4 and their t/t loop domains (Fig.
1, a and c). The p/t duplex in each case has the
same kind of repeating unit, in which the strongly stacked GC/CG
doublet is accompanied by two correct but less strongly stacked bp
doublets, CT/GA and CA/GT, with Tm values of only 58 and 55 °C, respectively, in 0.02 M salt (Table I). The
observed Tm for the p/t duplex in each case,
79 °C (Fig. 2a), is close to the average value
for these three doublets, (136 °C + 58 °C + 55 °C)/3 = 83 °C. The latter is the predicted Tm for an
infinitely long duplex of CAG/CTG repeats in 0.02 M salt
(24).
In the t/t loop domains of (CAG)16(CTG)4, the
GC/CG doublet is flanked by A/A mispairs (Fig.
1c). The poor stacking of A/A between C/G and G/C bp yields the weak mispaired doublets,
CA/GA and AG/AC, which
are equivalent. Considering the observed Tm of
52 °C (Fig. 2a) as approximately the average
value for all of the doublets involved in t/t domain melting, we can
evaluate Tm for CA/GA as
follows.
|
(Eq. 7)
|
This yields
Tm(CA/GA) = 10 °C,
given Tm(GC/CG) = 136 °C in 0.02 M salt (Table I).
We can also evaluate Tm for
CA/GA by including the observed
Tm for p/t duplex (79 °C, Fig. 2a),
described as follows.
|
(Eq. 8)
|
Subtracting Equation 7 from Equation 8 to eliminate
Tm(GC/CG), we obtain the following.
|
(Eq. 9)
|
This yields
Tm(CA/GA) = 16 °C,
given that Tm(CT/GA) = 58 °C and
Tm(CA/GT) = 55 °C in 0.02 M
Na+ (Table I).
The two methods of evaluation agree that CA/GA
has a very low Tm value, 13 ± 3 °C in 0.02 M salt. From this value, we predict a corresponding low
enthalpy change for CA/GA doublet melting,
H0 = 1.0 ± 0.3 kcal/mol (Table I), on
the basis of the enthalpy-entropy compensation formula,
|
(Eq. 10)
|
where Tm (°C) is the doublet melting
temperature in degrees Centigrade and a is an entropy
constant (80 ± 10 cal/mol deg) shown to hold for normal bp
doublets and also doublets with single mispairs, for Na+
salt concentrations up to 1.0 M (24).
The same approach using the observed melting temperatures for the two
transitions in the other three cases (Figs. 2a and
3a) yields
Tm(CT/GT) = 19 ± 3 °C, Tm(GT/CT) = 40 ± 6 °C, and
Tm(GA/CA) = 50 ± 6 °C, with proportional
H0
values calculated by Equation 10, as shown (Table I). Thus, in low salt
(0.02 M), we find that GA/CA is the
strongest, while CA/GA is the weakest, of the
mispaired doublets formed in hairpin folds of CAG/CTG and GAC/GTC
triplet repeats.
 |
DISCUSSION |
The major (CAG/CTG) class of DNA triplet repeats found expanded in
neurodegenerative diseases has the ability to form stable hairpin loops
on each strand, as shown in previous studies (21, 22, 25). The
formation of such loops when repeating sequences are being replicated
or repaired in vivo may promote primer-template slippage
like that demonstrated here in vitro, enabling DNA
polymerase to catalyze repeat expansions (4, 26, 27). In the present study, comparing self-priming loops of
(CTG)16(CAG)4 and
(CAG)16(CTG)4, we find that even-numbered loops
starting with A0 (Fig. 1, a and
c) are strongly favored in both cases, promoting slippage and expansion in steps of two triplets, A0
A2
A4 etc. (Fig.
2b). The CAG loop domains (Fig. 1c), having a
4 °C lower melting temperature (52 versus 56 °C) (Fig.
2a), also show a 4-fold higher rate of slippage and
expansion (Figs. 2b and 5). As seen in Fig. 5, slippage rate
declines as hairpin structures become more stable with increasing
numbers of triplets added, adding support to the idea that slippage
initiates in less stable regions of loop structure (4)
By replacing CAG/CTG with GAC/GTC, we find that even-membered loop
domains are still favored by GTC repeats (Fig. 1b) but not
by GAC repeats (Fig. 1d). Compared with even-numbered CTG loops (Fig. 1a), the GTC loops are considerably less stable
and much more prone to slippage, melting at a 9 °C lower temperature (47 °C, Fig. 3a) and showing a 6-fold higher rate of
slippage and expansion (Figs. 3b and 5). For GTC, CAG, and
CTG triplets, all of which form even-numbered loops almost exclusively
(Fig. 6), a trend of decreasing slippage rate with increasing loop
domain melting temperature is indicated (Fig. 4, solid
circles).
The GAC triplets, on the other hand, forming odd-numbered as well
as even-numbered loops, appear to slip somewhat more rapidly than
expected (Fig. 4, open circle). To explain why
even-numbered loops are strongly favored by CAG, CTG, and GTC triplet
repeats, but not by GAC repeats, we examine the base stacking
properties of nearest neighbor doublets of base pairs and mispairs
formed in each case.
Stacking of Nearest Neighbor Doublets--
In the p/t duplex
formed by complementary primer and template triplet repeats, the
stacking of Watson-Crick bp can be described in terms of three bp
doublets. For CAG/CTG repeats, these doublets are GC/CG, CA/GT, and
CT/GA; for GAC/GTC repeats, they are CG/GC, GA/CT, and GT/CA. As seen
in Table I, GC/CG is much stronger than CG/GC in 0.02 M
salt, but CA/GT and CT/GA are considerably weaker than GA/CT and GT/CA.
The resultant average doublet strength is nearly the same in
each case. The average doublet value of Tm being
similar explains why the p/t duplex melts at a similar high temperature
(~79 °C) in all four cases examined (Figs. 2a and
3a). With p/t duplex being more or less equally stable in
all cases, we see that p/t slippage is probably controlled by the less
stable t/t domain, whose Tm shows an inverse relationship to slippage rate (Fig. 4).
The hairpin loop t/t domains have lower melting temperatures because
they have mispaired bases (A/A or
T/T) in place of correct (A/T or T/A) base
pairs. The stacking of a correct C/G bp followed by mispair of type
A/A or T/T corresponds
to doublet CA/GA or CT/GT, respectively, while the stacking of G/C
followed by A/A or T/T
corresponds to GA/CA or
GT/CT, respectively. As shown (Table I),
CA/GA stacking is very weak in 0.02 M salt (Tm = 13 °C), whereas
GA/CA stacking is comparatively very strong
(Tm = 50 °C). This large difference in base
stacking helps explain why GAC repeats form much more stable
odd-numbered loops than CAG repeats.
Even-Odd Character of Hairpin Bends Explained by Mispair Stacking
Energies--
In loop domains of CAG or CTG repeats, each strongly
stacked GC/CG doublet (Tm = 136 °C) is
accompanied by two weakly stacked doublets of type
CA/GA (Tm = 13 ± 3 °C) or CT/GT (Tm = 19 ± 3 °C). Because the latter doublets are so poorly stacked
(Tm well below 37 °C), we see that the lone C/G
bp holding the three-base CTG or CAG bend in odd-numbered loops (Fig.
1, a and c) is probably unstable at physiological temperature. Accordingly, odd-numbered loops starting with
A1 should have seven unpaired bases rather than
only three (Fig. 1, a and c). Thus, with more
unpaired bases in the bend, A1 becomes less
stable stable than A2 as well as
A0, both of which have similar four-base bends
firmly held by the strongly stacked GC/CG doublet (Fig. 1, a
and c). The enlarged odd-numbered bend with poor stacking is
probably the reason why odd-numbered loops are so disfavored for
(CTG)16(CAG)4 and
(CAG)16(CTG)4, so that slippage occurs
primarily in even numbered steps of two triplets (Fig.
2b).
In GAC and GTC loop domains, on the other hand, the corresponding
mispaired doublets, GA/CA and
GT/CT, have much better stacking as indicated
by their high Tm values of 50 ± 6 and 40 ± 6 °C, respectively (Table I). The Tm of
GA/CA appears high enough to maintain a stable
3-base bend in odd-numbered loops as shown (Fig. 1d).
However, GT/CT, being only marginally stable at
37 °C (Tm = 40 °C), is less likely to keep
such a bend (Fig. 1b) from opening up to seven unpaired
bases. This may be the reason why GTC repeats still prefer
even-numbered loops, whereas GAC repeats favor odd-numbered loops
(Figs. 3b and 6).
Remarkably, GA/CA has Tm and
H0 values almost as high as the normal
doublets, CA/GT and CT/GA, in 0.02 M salt (Table I). This
means that the A/A mispair, although not
hydrogen-bonded, is strongly stacked in the doublets
GA/CA and AC/AG, which
are equivalent. With Tm = 50 ± 6 °C, well
above 37 °C, the stacking appears strong enough to hold the lone G/C
bp needed to form a stable 3-base bend, as shown (Fig. 1d)
for (GAC)16(GTC)4.
Dependence on Salt Concentration--
It has been known for some
time that normal doublets CA/GT, CT/GA, and CG/GC show similar
percentage increases in Tm (°C) as salt
concentration is raised (24). For Na+ raised from 0.02 to 1 M, the increase is about 100% in all three cases (Table
I), so we expect a 100% increase for CA/GA and
CT/GT as well. On the other hand, no increase
for GA/CA and GT/CT is expected, since GT/CA, GA/CT, and GC/CG show almost no sensitivity to
salt concentration. The resultant
H0 values
calculated by Equation 10 from Tm in 1 M
Na+ (Table I, last column) are consistent with recently
published values (28), shown in parentheses.
Conclusion--
Our analysis of melting profiles and polymerase
extensions of self-priming sequences of DNA triplet repeats reveals
several novel features of the CAG/CTG triplet class implicated in
disease. (a) The intrastrand loops formed by this class of
triplet repeats are stabilized largely by the strongly stacked GC/CG bp
doublet. (b) The accompanying doublets,
CA/GA and CT/GT,
containing A/A and T/T
mispairs, respectively, are very weakly stacked in low salt solution.
(c) The weak stacking of CA/GA and
CT/GT destabilizes the C/G bp that holds
three-base bends of odd-numbered loops, making the four-base
even-numbered bends much more favorable for both CAG repeats and CTG
repeats. (d) The weaker stacking of
CA/GA than CT/GT makes
CAG loop domains less stable and more slippery than their CTG
counterparts, resulting in a 4 °C lower melting temperature and a
4-fold higher rate of repeat expansion by slippage in DNA polymerase reactions.
We also find that GAC/GTC triplet repeats, not yet implicated in
disease, have very different base-stacking properties, although forming
similar hydrogen-bonded base pairs. (a) Their intrastrand loops are mainly stabilized by the correct doublet, CG/GC, which has
considerably weaker base stacking than GC/CG in low salt. (b) The weaker stacking of CG/GC is compensated by stronger
stacking in the accompanying doublets with mispairs,
GA/CA and GT/CT.
(c) The stacking of GA/CA in low
salt is surprisingly high, comparable with that of normal CA/GT and
CT/GA doublets in correct duplexes of CAG and CTG repeats.
(d) The strong GA/CA stacking
preferentially stabilizes odd-numbered GAC loops and makes them
equivalent to even-numbered CAG loops in stability, although CG/GC is
less stable than GC/CG. (e) The
GT/CT doublet, being weaker than
GA/CA, is unable to stabilize odd-numbered
bends sufficiently, so that GTC repeats still primarily form
even-numbered loops, which melt 9 °C lower than CTG loops and show a
6-fold higher rate of expansion by slippage.
Several models have been proposed to indicate how hairpin loop
formation may contribute to the expansion of trinucleotide repeats with
DNA polymerase (4, 26, 27, 29). The data presented here should be
helpful in testing such models. Our data reveal that nearest neighbor
base stacking has a strong influence on loop stability and slippage
rate, leading to repeat expansions. These data were obtained in 0.02 M salt in order to observe the melting of both loop and
duplex domains in our self-priming sequences of triplet repeats. Since
salt can strongly affect the stacking of base pairs and mispairs,
additional data at salt concentrations closer to 0.15 M are
needed to make more reliable predictions of DNA triplet-repeat folding
and slippage under physiological conditions.
 |
FOOTNOTES |
*
This work was supported by National Institutes of Health
(NIH) Grants AG 11398 and GM 21422 and National Institute on Aging, NIH, Program Project Grant AG17179.The costs of publication of this
article were defrayed in part by the
payment of page charges. The article
must therefore be hereby marked
"advertisement" in accordance with 18 U.S.C. Section
1734 solely to indicate this fact.
To whom correspondence should be addressed: Dept. of Biological
Sciences, University of Southern California, SHS Rm. 172, University
Park, Los Angeles, CA 90089-1340. Tel.: 213-740-5190; Fax:
213-740-8631; E-mail: mgoodman@mizar.usc.edu.
Published, JBC Papers in Press, April 3, 2000, DOI 10.1074/jbc.M910272200
 |
ABBREVIATIONS |
The abbreviations used are:
p/t, primer-template
DNA duplex;
t/t, loop domain of template triplet interactions;
bp, base pair(s).
 |
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