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J Biol Chem, Vol. 275, Issue 6, 3922-3930, February 11, 2000


The Role of Mismatched Nucleotides in Activating the hMSH2-hMSH6 Molecular Switch*

Scott Gradia, Samir Acharya, and Richard FishelDagger

From the Genetics and Molecular Biology Program, Department of Microbiology and Immunology, Kimmel Cancer Center, Thomas Jefferson University, Philadelphia, Pennsylvania 19107

    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

We have previously shown that hMSH2-hMSH6 contains an intrinsic ATPase which is activated by mismatch-provoked ADPright-arrowATP exchange that coordinately induces the formation of a sliding clamp capable of hydrolysis-independent diffusion along the DNA backbone (1, 2). These studies suggested that mismatch repair could be propagated by a signaling event transduced via diffusion of ATP-bound hMSH2-hMSH6 molecular switches to the DNA repair machinery. The Molecular Switch model (Fishel, R. (1998) Genes Dev. 12, 2096-2101) is considerably different than the Hydrolysis-Driven Translocation model (Blackwell, L. J., Martik, D., Bjornson, K. P., Bjornson, E. S., and Modrich, P. (1998) J. Biol. Chem. 273, 32055-32062) and makes additional testable predictions beyond the demonstration of hydrolysis-independent diffusion (Gradia, S., Subramanian, D., Wilson, T., Acharya, S., Makhov, A., Griffith, J., and Fishel, R. (1999) Mol. Cell 3, 255-261): (i) individual mismatch-provoked ADPright-arrowATP exchange should be unique and rate-limiting, and (ii) the kcat·DNA for the DNA-stimulated ATPase activity should decrease with increasing chain length. Here we have examined hMSH2-hMSH6 affinity and ATPase stimulatory activity for several DNA substrates containing mispaired nucleotides as well as the chain length dependence of a defined mismatch under physiological conditions. We find that the results are most consistent with the predictions of the Molecular Switch model.

    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Mismatch repair (MMR)1 is an important cellular pathway that facilitates genome stability by correcting mismatched nucleotides in DNA that arise from chemical and physical damage, replication errors, and recombination events between heteroallelic parental DNAs (for review see Ref. 6). Mutation of several of the human MMR genes have been shown to result in a mutator phenotype and are associated with a common cancer predisposition syndrome, hereditary nonpolyposis colorectal cancer (HNPCC), as well as a variety of sporadic tumors (7, 8).

Initiation of MMR is fundamentally dependent on the prototypical Escherichia coli MutS or its eucaryotic homologs: a highly conserved family of proteins responsible for mispair recognition (for review see Ref. 9). The bacterial MutS protein appears to recognize mispaired DNA as a homodimer, while the eucaryotic MSHs (MutS homologs) appear to function as heterodimers of MSH2 and MSH6 or MSH2 and MSH3 (10-12). Like their yeast counterpart, the human hMSH2-hMSH6 heterodimer primarily recognizes and participates in the repair of single-base and small insertion/deletion DNA mismatches, while the hMSH2-hMSH3 heterodimer is associated with the repair of small and large insertion/deletion DNA mismatches (12-14).

Homology between the MutS homologs is largely based upon a highly conserved Walker-A/B adenosine nucleotide and magnesium-binding domain (3, 9). Although aspects of ATP binding/hydrolysis by the bacterial and yeast MutS homologs have been examined (15-17), more comprehensive studies of the human hMSH2-hMSH6 heterodimer have demonstrated coupled ATP and DNA binding properties as well as an intrinsic ATPase activity that is stimulated by mispaired DNA (1, 2, 5, 18, 19). A defining observation is that binding to mismatched DNA by MutS and hMSH2-hMSH6 is abolished in the presence of ATP (1, 10, 20). The ATP-induced release of E. coli MutS from mispaired DNA has been reported to occur by hydrolysis-driven translocation of the protein along the DNA backbone (4). This conclusion is based on the appearance of growing loop structures observed by electron microscopy that depend on MutS, MutL, and ATP. Moreover, the poorly hydrolyzable analog of ATP, ATPgamma S, appears to block the growth of these loops, which has been interpreted to suggest a requirement for ATP hydrolysis.

An alternative model for signaling MMR suggests that hMSH2-hMSH6 functions as an adenosine nucleotide-regulated molecular switch (1-3). This conclusion is grounded on the biochemical properties of the hMSH2-hMSH6 ATPase and the observation that ADP and ATP have opposing effects on mispair binding. These studies have further demonstrated that: (i) the rate-limiting step for the intrinsic ATPase is mismatched nucleotide provoked ADPright-arrowATP exchange; (ii) hMSH2-hMSH6 undergoes a conformational transition associated with ADPright-arrowATP exchange similar to that demonstrated for G protein signaling molecules; (iii) the adenosine nucleotide conformational transition of hMSH2-hMSH6 results in the formation of an ATP-bound hydrolysis-independent sliding clamp (preincubation of hMSH2-hMSH6 with ATPgamma S, results in a conformation that is topologically refractory to mispair binding); and (iv) hydrolysis of ATP only occurs when hMSH2-hMSH6 dissociates or is dissociated from the DNA (thus recycling the mispair binding switch).

An argument against the Molecular Switch model was recently forwarded by Blackwell et al. (5, 19) and is based on the following observations: (i) a similar dissociation constant (kd) between hMSH2-hMSH6 and mismatched DNA in the presence or absence of ADP; (ii) plasmon resonance spectroscopy demonstrating ADP-induced release of hMSH2-hMSH6, which was prebound to mismatched DNA in the absence of nucleotide (albeit >10-fold slower than ATP-induced release); (iii) an ATPase "salt profile" that appeared similar to MMR and mismatch-provoked excision reactions in vitro, and 4.) a "significant" DNA length-dependent increase in the kcat·DNA for the ATPase. It was concluded that hMSH2-hMSH6 movement along the DNA backbone occurred by a modified Hydrolysis-Driven Translocation model (5, 19).

Quantitative measure of bacterial MMR in vitro and in vivo have shown that repair efficiency is primarily determined by the type of mispaired base (21, 22) and can be influenced by the sequence context surrounding the mispair (23). Although genetic experiments have implicated hMSH2-hMSH6 in the repair of most single base mismatches, nearly all of the biochemical studies have focused on its interaction with G/T mismatched DNA. Here we have examined the affinity of hMSH2-hMSH6 for a variety mismatched DNA substrates as well as the extent to which these mismatched DNA substrates provoke ADPright-arrow ATP exchange and stimulate the intrinsic ATPase activity. We have additionally characterized the affinity of hMSH2-hMSH6 for ATP and examined the chain length dependence of homoduplex and mismatched DNA substrates on the hMSH2-hMSH6 ATPase. Our results suggest that the rate-limiting step in hMSH2-hMSH6 initiation of MMR is tied to the ability of individual mispaired nucleotides to provoke ADPright-arrowATP exchange. Moreover, in contrast to previous reports (19), we observe a modest decrease in the kcat·DNA with increasing DNA chain length under physiologically significant conditions. These and other results reduce the likelihood of a Hydrolysis-Driven Translocation mechanism, while providing further support for the Molecular Switch model.

    MATERIALS AND METHODS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

The hMSH2-hMSH6 heterodimer was prepared and quantitated as described previously (1).

Preparation of DNA Substrates-- Oligonucleotides were synthesized using a 3948 Nucleic Acid Synthesis and Purification System (Applied Biosystems). Unlabeled duplex DNA substrates were made by annealing equal molar amounts of an upper strand, 5'-GCT TAG GAT CAT CGA GGA TCX AGC TCG GTG CAA TTC AGC GG-3', to a lower strand, 5'-CCG CTG AAT TGC ACC GAG CTY GAT CCT CGA TGA TCC TAA GC-3'. For example a G/T mismatch was constructed by positioning a G in place of X in the upper strand and a T in place of Y in the lower strand. All single base pair mismatched DNA substrates followed this format. Insertion/deletion mismatched DNA substrates were constructed by annealing an upper strand 5'-GCT TAG GAT CAT CGA GGA TCG XAG CTC GGT GCA ATT CAG CGG-3'; where X = A for (+A), X = CA for (+CA), and X = CACACACA for +(CA)4 to the lower strand, 5'-CCG CTG AAT TGC ACC GAG CTC GAT CCT CGA TGA TCC TAA GC-3'. Labeled 41-base pair DNA substrates were prepared by annealing 32P end-labeled oligonucleotide to an equal molar amount of unlabeled complementary oligonucleotide. Duplex DNA was purified from an 8% acrylamide gel. Excised gel slices were crushed and incubated in 10 mM Tris-HCl (pH 7.5), 1 mM EDTA, 100 mM NaCl for 12 h. Buffer containing the DNA was separated from the acrylamide using an Ultrafree-MC 0.22 µm Filter Unit (Millipore) and concentrated using a microconcentrator (Amicon).

The 125-, 251-, and 501-bp heteroduplex DNA substrates were made by amplifying a region of a modified pBSK- vector containing a central G/C or A/T base pair using the Pfu polymerase in a standard PCR reaction (Stratagene). The sequence directly surrounding the G/C or A/T base pair is 5'-TCG AGC AGC TXG ATC TAG CCT-3' where X = G or A. PCR products were purified using the Qiagen PCR purification kit. Equal molar amounts of G/C and A/T DNA were combined in buffer M (10 mM Tris-HCl (pH 7.5), 50 mM NaCl, 10 mM MgCl2, 1 mM DTE) (Roche Molecular Biochemicals), denatured for 5 min at 95 °C, and then reannealed by cooling to 37 °C. DNA was then digested with BglII and PvuII, which cleaves only homoduplex DNA (leaving G/T or C/A heteroduplex DNA intact) (24). Full-length heteroduplex DNA was purified by high pressure liquid chromatography using a Waters Gen-Pak FAX Column (Millipore). DNA was loaded onto the column in buffer M at 0.5 ml/minute, washed 10 min with 25 mM Tris (pH 8.0), 500 mM NaCl, 1 mM EDTA, and then eluted with a 35 min gradient to 750 mM NaCl. Full-length heteroduplex DNA fraction typically separated 2-4 min from restricted DNA fractions. DNA was ethanol precipitated, resuspended in 10 mM Tris (pH 7.5), 100 mM NaCl, 2 mM MgCl2, and then quantitated by spectroscopy.

DNA and ATPgamma S Filter Binding Assays-- DNA and ATPgamma S filter binding assays were performed in 25 mM Hepes-HCl (pH 7.8), 110 mM NaCl, 2 mM MgCl2, 1 mM dithiothreitol, and 15% glycerol, unless otherwise indicated. The concentrations of hMSH2-hMSH6, DNA, and ATPgamma S are indicated in the figure legends. DNA binding assays were performed by incubating hMSH2-hMSH6 with the indicated labeled DNA substrates in the presence of 25 µM ADP at 37 °C for 15 min in a 20-µl reaction. Unlabeled competitor DNA or ATP was included in the reaction where indicated. Reactions were placed on ice, diluted with 4 ml of buffer A (which consisted of 25 mM Hepes-HCl (pH 7.8), 2 mM MgCl2, 15% glycerol, and NaCl concentration equivalent to that of the reaction), and then were immediately filtered through a prewet Millipore HAWP nitrocellulose membrane and washed with 8 ml of buffer A. Filters were incubated overnight in scintillation fluid and quantitated using a Beckman counter. Data from the DNA competition assays were fit to the equation: Y = NS + (T - NS)/(1 + 10log[comp] - log[IC50]) as described by Motulsky (25) where, [comp] is the concentration of competitor, T is the total binding in the absence of competitor, NS is the binding at saturating concentration of competitor, and Y is the binding measured at various concentrations of competitor. IC50 values represent the concentration of unlabeled competitor that reduced G/T DNA binding by 50%. Ki values were determined by the equation Ki = IC50/(1 + ([radioligand]/Kd)), where the concentration of radioligand (labeled G/T DNA) was 20 nM and the Kd for hMSH2-hMSH6 binding G/T DNA was 10.5 nM. ATPgamma S binding assays were performed by incubating hMSH2-hMSH6 with ATPgamma S at 37 °C for 5 min in the presence or absence of DNA; the reactions were then analyzed by filter binding as described above. Kd and Bmax (equivalent to the moles of substrate bound at saturation) were determined by fitting the data to a square hyperbola (25).

ATPase Assays-- ATPase assays were performed in 25 mM Hepes-HCl (pH 7.8), 110 mM NaCl, 10 mM MgCl2, 1 mM dithiothreitol, and 15% glycerol, unless otherwise indicated. The concentrations of hMSH2-hMSH6 and ATP are indicated in the figure legends. For experiments shown in Fig. 3A and Table I, the concentration of hMSH2-hMSH6 was varied so that the amount of ATP hydrolyzed remained below 15%. Reactions were incubated at 37 °C for 30 min, and the fraction of hydrolyzed [gamma -32P]ATP was determined by charcoal binding as described previously (1).

ADP Exchange Assays-- Assays were performed in 25 mM Hepes-HCl (pH 7.8), 100 mM NaCl, 1 mM dithiothreitol, 15% glycerol, and 2 mM MgCl2. hMSH2-hMSH6 (75 nM) was incubated with 2.3 µM [3H]ADP at 25 °C for 25 min and then put on ice. DNA (93 nM) and 25 µM ATP was added to start the reaction, which was then stopped at the indicated time by the addition of 4 ml of ice-cold stop buffer (25 mM Hepes-HCl (pH 7.8), 100 mM NaCl, 2 mM MgCl2). The solution was immediately filtered on a Millipore HAWP nitrocellulose membrane and washed with 10 ml of cold stop buffer. Filters were air dried, added to 3 ml of scintillation fluid, and quantitated. The amount of ADP bound before the addition of DNA and ATP was used as the zero time point. We found that multiple filter washes (up to four) did not significantly alter (± <10%) the results.

    RESULTS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Mispair Binding Specificity of hMSH2-hMSH6-- The hMSH2-hMSH6 heterodimeric protein complex has been purified from human cell extracts based on its ability to restore MMR to mutant cell lines (10) and to specifically bind DNA containing mismatched nucleotides (1). Biochemical studies of the hMSH2-hMSH6 protein have primarily focused on its interaction with DNA containing a G/T mismatch. We examined the affinity of hMSH2-hMSH6 for the eight possible single nucleotide mispairs by gel shift analysis and found a strong bias for the G/T mispair followed by a C/A mispair (data not shown). To further quantitate these interactions, a filter binding assay was developed, and the association of hMSH2-hMSH6 with several DNA substrates containing defined mismatched nucleotides in an otherwise identical sequence context was examined (Fig. 1A). We found that none of the mismatched DNA substrates reached a level of binding saturation comparable with that of a G/T mismatch. These results suggested that the hMSH2-hMSH6 interaction(s) with mismatched DNA was complex, and simple binding studies were unlikely to be sufficient for accurate interaction comparison.


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Fig. 1.   Specificity of hMSH2-hMSH6 mismatched DNA binding. A, filter binding analysis of hMSH2-hMSH2 and labeled 41-bp oligonucleotide DNA (18 nM) containing a centrally located G/T, C/A, +(CA), or T/T mismatch and homoduplex (G/C) DNA. B, competition analysis of hMSH2-hMSH6 (75 nM) binding to labeled 41-bp G/T mismatched DNA (20 nM) by unlabeled competitor G/T, C/A, +(CA), T/T mismatched, or homoduplex (G/C) DNA. Data were fit to a one-site competition equation as described under "Materials and Methods." The IC50 and Ki value for each competitor DNA is presented in Table I. C, salt profile (NaCl) of filter binding between hMSH2-hMSH6 (15 nM) and 41-bp G/T or G/C oligonucleotide DNA (20 nM).

Competition studies have been used to overcome complex binding activities and to gauge the relative affinity MutS homologs for mismatched DNA substrates (16, 26). We performed a similar competition analysis in which an unlabeled DNA was tested for its ability to compete with a labeled DNA substrate containing a G/T mismatch (Fig. 1B). IC50 and Ki values for these competition assays were calculated by fitting the data to a one-site competition equation (see "Materials and Methods") and are shown in Table I. We observe a hierarchy for mispair competition in which G/T C/A > +(CA) > T/T approx  G/C. Comparison of the Ki values for each DNA substrate suggests that there is an 8-fold preference for G/T mispair binding over a C/A mispair, which was the next best competition substrate. The affinity of hMSH2-hMSH6 for homoduplex (G/C) DNA was 23-fold lower than for a DNA containing a G/T mismatch, and there appeared to be little or no discrimination between a T/T mismatch and the duplex G/C competitor substrates. Although there may be sequence context effects, several reports have suggested a hierarchy for MMR in bacteria, yeast, and human cells in vivo and in vitro in which G/T > C/A approx  G/G approx  +A > A/A > G/A > T/T approx  C/T C/C (21, 26-33). There is a general agreement between the G/T repair efficiencies and our relative binding data. However, there appears to be a discordance between the relative binding and repair of the C/A mismatch as well as the complete lack of discrimination between the homoduplex (G/C) DNA and the T/T mispair (which is poorly but significantly repaired) (19, 34).

                              
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Table I
Competition binding analysis between hMSH2-hMSH6 and various DNA substrates
Binding assays were performed by incubating hMSH2-hMSH6 with 20 nM of labelled 41-bp G/T heteroduplex DNA and varying concentrations of the competing unlabelled DNA substrate. The data generated (shown in Fig. 1B) was fit to a one-site competition equation as described under "Materials and Methods." Log(IC50) values are presented with standard deviations. DNA substrates are 41 base pairs in length and contain a central heteroduplex or homoduplex base pair as indicated.

We have compared the ability of hMSH2-hMSH6 to binding a DNA substrate containing a G/T mismatch with an identical homoduplex (G/C) DNA substrate as a function of salt concentration (Fig. 1C). The binding preference for a G/T mismatch at low salt appears comparable with previous observations (19). We have additionally found that the binding of homoduplex (G/C) DNA by hMSH2-hMSH6 also increases at low salt concentrations. However, the preference for mismatched DNA compared with homoduplex (G/C) DNA remains fairly constant at NaCl concentrations below 150 mM. Interestingly, the peak of MMR activity appears to occur at a salt concentration of 110-130 mM (19). Although it would appear premature to suggest that peak salt activity of a multicomponent MMR system is solely due to hMSH2-hMSH6 function (19), the wide range of salt concentrations where mispair discrimination occurs supports the idea that mismatch binding is unlikely to be the critical function for hMSH2-hMSH6 in MMR.

Activation of the hMSH2-hMSH6 ATPase by Mismatched DNA-- Previous studies have demonstrated that hMSH2-hMSH6 ATPase activity requires MgCl2, is significantly stimulated by DNA containing a G/T mismatch, and is controlled by mismatched DNA provoked ADPright-arrowATP exchange (1, 2). We have further examined the salt profile and DNA concentration dependence of the G/T mismatch-stimulated hMSH2-hMSH6 ATPase (Fig. 2). Homoduplex (G/C) stimulation of hMSH2-hMSH6 ATPase activity peaked at approx 65 mM, while G/T mismatched DNA peaked at approx 110 mM (Fig. 2A). Moreover, below 65 mM and above 300 mM NaCl there appeared to be no discrimination between homoduplex (G/C) and heteroduplex (G/T) stimulation of the hMSH2-hMSH6 ATPase. Interestingly, the NaCl concentrations that produce a discrimination between homoduplex (G/C) and heteroduplex (G/T) DNA for the hMSH2-hMSH6 ATPase appear to closely correlate with the salt profile observed for MMR in vitro (19).


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Fig. 2.   Salt and DNA concentration affect hMSH2-hMSH6 ATPase activity. Velocity [(mol ATP hydrolyzed) (mol hMSH2-hMSH6)-1 min-1)] of the DNA stimulated ATPase in the presence of a 41-bp oligonucleotide containing a G/T mismatch (G/T) or homoduplex (G/C) at a central base pair (see "Materials and Methods"). Assays were performed in the presence of 10 mM MgCl2 and 500 µM ATP. A, salt profile (NaCl) of the hMSH2-hMSH6 (80 nM) ATPase activity in the presence of G/T or G/C DNA (185 nM molecules). B, DNA concentration profile of the hMSH2-hMSH6 (80 nM) ATPase activity. DNA concentrations are expressed in nM molecules at 110 mM NaCl. Kinetic parameters were calculated by fitting the data to the Michaelis-Menten equation: for heteroduplex DNA, kcat·G/T approx  9.9 min-1 and K1/2·G/T approx  40 nM; for homoduplex DNA, kcat·G/C approx  6.4 min-1 and K1/2·G/C approx  260 nM.

At the salt concentration of peak ATPase activity (110 mM), a wide range of DNA concentrations (25-900 nM) appeared to provide continuous discrimination between homoduplex (G/C) and heteroduplex (G/T) DNA (Fig. 2B). We calculated that G/T mismatched DNA stimulated hMSH2-hMSH6 ATPase activity displayed a kcat·G/T DNA approx 10 min-1 and K1/2·G/T DNA approx 40 nM, whereas the kcat·G/C DNA for homoduplex (G/C) was lower (approx 6.4 min-1) and the K1/2·G/C DNA was substantially higher (approx 260 nM). Taken together these results provide a foundation for the quantitative analysis of mismatched DNA substrates that affect the hMSH2-hMSH6 ATPase.

We then examined the activation of the hMSH2-hMSH6 ATPase by a variety of DNA substrates (Fig. 3A). Estimations of the apparent Km·ATP and kcat·ATP was determined by fitting the data directly to the Michaelis-Menten equation (Table II). It is interesting to note that the rate of hMSH2-hMSH6 ATP hydrolysis (kcat·ATP) induced by individual mismatched nucleotides largely correlated with the reported mismatch repair efficiencies (Refs. 29-33 and see above). The G/T mismatch, which is efficiently repaired in human cells, readily activated the ATPase activity, whereas the poorly repaired single nucleotide mismatches, such as the C/C mismatch, stimulate the ATPase activity poorly. A +(CA)4 insertion-deletion loop-type (insertion/deletion) mismatch, which would be predicted to be repaired largely by a hMSH2-hMSH3-mediated repair event, does not stimulate the ATPase above that of homoduplex DNA (11, 33, 35, 36). More importantly, a +(CA) insertion/deletion, which has been proposed to be repaired by both the hMSH2-hMSH6 and hMSH2-hMSH3 pathways, is capable of stimulating the hMSH2-hMSH6 ATPase activity. It should be noted that the ATPase assays were performed at a single DNA concentration (185 nM) from which kcat/Km was derived for comparison. These should be regarded as snapshots of catalytic efficiency because an accurate comparison would require an analysis of the DNA concentration dependence and calculation of the kcat·DNA and Km·DNA as determined for the G/T and G/C oligonucleotides (see above; see also Fig. 6 and Table III), which displayed an order of magnitude difference in kcat·DNA/Km·DNA.


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Fig. 3.   Stimulation of hMSH2-hMSH6 ATPase activity and ADP right-arrow ATP exchange by mismatched DNA substrates. ATPase velocity [(mol ATP hydrolyzed) (mol hMSH2-hMSH6)-1 min-1)] of +(CA), G/T, C/A, T/T, and G/C 41-bp DNA substrates containing either a central CA insert (+(CA)) or the respective (G/T, C/A, T/T, or G/C) base pairs. Panel A) The ATP concentration dependence of the hMSH2-hMSH6 ATPase activity in the absence of DNA (no DNA) or in the presence of +(CA), G/T, C/A, T/T, or G/C DNA (185 nM molecules) with varying concentrations of ATP. Assays were performed at 110 mM NaCl and 10 mM MgCl2. Kinetic parameters (for these and the DNA substrates shown in Table II) were calculated by fitting the data to the Michaelis-Menten equation. B, hMSH2-hMSH6 ADPright-arrowATP exchange in the absence of DNA (no DNA) or in the presence of +(CA), G/T, C/A, T/T, or G/C substrate DNAs. hMSH2-hMSH6 (75 nM) was bound to [3H]ADP (2.3 µM), and the reaction was started by the addition of unlabeled ATP (25 µM) and the indicated DNA (93 nM). The relative percentage of [3H]ADP remaining bound to the protein was plotted with respect to time of incubation. The mean standard deviation of the points shown (in B) is ± 3.6%.

                              
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Table II
Stimulation of hMSH2-hMSH6 ATPase activity by various DNA substrates
ATPase assays were performed by incubating hMSH2-hMSH6 with 185 nM DNA and varying concentrations of ATP. The data generated (as shown in Fig. 3A) was fit to the Michaelis-Menten equation. kcat and Km values are presented with standard deviations. DNA substrates are 41 base pairs in length and contain a central heteroduplex or homoduplex base pair as indicated; ssDNA refers to single-stranded DNA.

                              
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Table III
Stimulation of hMSH2-hMSH6 ATPase activity by heteroduplex and homoduplex DNA substrates of varying lengths
ATPase assays were performed by incubating hMSH2-hMSH6 with 100 µM ATP and varying concentrations of 41, 125, 251, and 501-base pair heteroduplex (het) or homoduplex (homo) DNA substrates. Heteroduplex DNA consists of anequimolar mixture of molecules with a central G/T or C/A heteroduplex base pair (as described under "Materials and Methods"). The data generated (as shown in Fig. 6) was fit to the Michaelis-Menten equation. kcat and K1/2 (concentration of DNA corresponding to half-maximal velocity) values are presented with standard deviations. K1/2 values are presented in terms of both DNA molecules and DNA base pairs.

In addition, we found that the rate of ADPright-arrowATP exchange (t1/2) correlated with the relative kcat values observed for the mismatch-stimulated ATPase activity (G/T approx  +(CA) approx  C/A > T/T > G/C no DNA) (Fig. 3B). These results support the idea that the rate-limiting step for ATP hydrolysis is mismatch provoked ADPright-arrowATP exchange. Previous studies have demonstrated that ADPright-arrowATP exchange results in the formation of a hydrolysis-independent sliding clamp and that ATP hydrolysis occurs when hMSH2-hMSH6 transits a free end (2). These observations, combined with the mismatch-dependent ATPase data presented here, strongly argue that it is the unique events associated with ADPright-arrowATP exchange at the site of the mismatch that are important for the control of MMR.

ATP Binding Activity by hMSH2-hMSH6-- Previous studies using plasmon resonance suggested dissociation of hMSH2-hMSH6 from mismatched DNA in the presence of ADP, which was taken as support for a Hydrolysis-Driven Translocation model and further implied that the protein complex initially recognized mismatched DNA in a nucleotide-free form (5, 19). This hypothesis depends critically on hMSH2-hMSH6 adenosine nucleotide binding activities under physiological conditions. We have quantitatively determined the conditions of adenosine nucleotide binding by hMSH2-hMSH6 (Fig. 4). In the absence of DNA, we have found that hMSH2-hMSH6 binds ADP (see Ref. 1), ATP (Kd approx  0.38 ± 0.10 µM) in the absence of MgCl2 (data not shown), and ATPgamma S (Kd approx  0.75 µM) in the presence of MgCl2 (Fig. 4A). Because it has been estimated that the concentration of ATP in a metabolizing cell approaches 1-3 mM (37, 38), it would appear likely that hMSH2-hMSH6 remains saturated with adenosine nucleotide in vivo. Furthermore, in the absence of mismatched nucleotides (but only in the presence of MgCl2), we have shown that hMSH2-hMSH6 rapidly hydrolyzes bound ATP to ADP and remains in the ADP bound state unable to exchange ADPright-arrowATP (Ref. 1 and Fig. 3B). Taken as a whole, these observations are consistent with the idea that under physiological conditions, hMSH2-hMSH6 should be largely bound by adenosine nucleotide. We cannot rule out the possibility that mispair binding induces the release of ADP. These studies also suggest that quantitative binding studies between hMSH2-hMSH6 and ATPgamma S are a reasonable measure of binding between hMSH2-hMSH6 and ATP.


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Fig. 4.   Binding of hMSH2-hMSH6 to ATPgamma S in the presence or absence of DNA. A, filter binding activity of hMSH2-hMSH6 (100 nM) binding to ATPgamma S in the absence or presence of a 41-bp duplex DNA (185 nM) containing a central G/T mismatch. The Kd and Bmax (see "Materials and Methods") were determined by fitting the data to a square hyperbola. In the absence of DNA, Kd = 0.74 ± 0.10 µM ATPgamma S and Bmax = 0.45 ± 0.01 pmol ATPgamma S; in the presence of G/T DNA, Kd = 2.03 ± 0.13 µM ATPgamma S and Bmax = 0.46 ± 0.01 pmol ATPgamma S. B, salt dependence (NaCl) of ATPgamma S (2 µM) binding to hMSH2-hMSH6 (80 nM) in the presence or absence of a 41-bp duplex DNA (185 nM) containing a central G/T mismatch.

We have additionally explored the interaction between ATP (ATPgamma S) and hMSH2-hMSH6 in the presence of DNA containing a G/T mismatch (185 nM) and found the affinity of hMSH2-hMSH6 for ATPgamma S decreased 2.5-fold (Kd approx  2.03 µM) (Fig. 4A). These results are consistent with the pseudo-uncompetitive behavior of the mismatch-stimulated hMSH2-hMSH6 ATPase (see Ref. 1 and Fig. 3), as well as the single-step ATP hydrolysis results where the amount of prebound ADP was found to decrease in the presence of increasing concentrations of mismatched DNA (see Ref. 1).

Examination of the salt profile revealed that the DNA-dependent inhibition of ATPgamma S binding by hMSH2-hMSH6 could be overcome at high salt concentrations (Fig. 4B), which also appears to correlate with a similar salt-induced inhibition of DNA binding (Fig. 1C). Although the DNA binding domain(s) of hMSH2 and hMSH6 have not been elucidated, it has been shown that mutations within Walker A/B consensus adenosine nucleotide binding domain that eliminate ATPase activity do not affect mismatch DNA binding (18).2 These results support the conclusion that there are independent binding sites as well as compulsory ordered binding mechanisms for DNA and ATP as was suggested by Gradia et al. (1).

In addition, we found that both the DNA-dependent inhibition and overall affinity of hMSH2-hMSH6 for ATPgamma S were reduced at low salt concentrations (Fig. 4B). These observations led us to test whether the IC50 for ATP-induced dissociation of hMSH2-hMSH6 from mismatched DNA would be altered at low NaCl concentrations (Fig. 5). Previous gel shift analysis identified an IC50 approx  3 µM (at 100 mM NaCl) for ATP-induced dissociation of hMSH2-hMSH6 from DNA containing a G/T mismatch (1). Using a filter binding assay (see "Materials and Methods"), we determined a similar IC50 approx  10 µM (at 110 mM NaCl) for ATP-induced dissociation of hMSH2-hMSH6 from mismatched DNA (Fig. 5A). Interestingly, the IC50 for ATP-induced dissociation of hMSH2-hMSH6 from mismatched DNA increased to approx 50 µM at low salt (6 mM) (Fig. 5A). These results indicated an apparent preference for mismatched DNA over ATP at low salt concentrations and the possibility that the reduced ATPase was tied to the an inability of hMSH2-hMSH6 to appropriately process adenosine nucleotide and/or form a hydrolysis-independent sliding clamp. It is interesting to note that the addition of saturating amounts of ATP released 90% of the hMSH2-hMSH6 from the mismatched DNA at low salt (6 mM NaCl), thus further minimizing the role of ATP hydrolysis in hMSH2-hMSH6 dissociation.


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Fig. 5.   Comparison of ATP-induced dissociation of DNA from hMSH2-hMSH6 at low and high NaCl concentrations. G/T or G/C DNA substrates refers to a 41-bp duplex DNA containing a central G/T or G/C base pair as indicated. 100% DNA binding represents the amount of DNA bound at 6 or 110 mM NaCl in the absence of ATP. A, ATP-induced dissociation of hMSH2-hMSH6 (15 nM) and G/T mismatched DNA (20 nM) at 6 and 110 mM NaCl. B, ATP-induced dissociation of hhMSH2-hMSH6 (15 nM) and G/C homoduplex DNA (20 nM) at 6 and 110 mM NaCl.

Although hMSH2-hMSH6 binding to homoduplex DNA is substantially weaker than binding to DNA containing a G/T mismatch, we observed a significant ATP-induced dissociation of hMSH2-hMSH6 from homoduplex (G/C) DNA. This result is intriguing and suggests an adenosine nucleotide induced binding and release mechanism that is similar to that observed for mismatched DNA. Further analysis is necessary to determine whether this interaction contributes to mismatch recognition or whether it is nonspecific.

Length-dependent Stimulation of the hMSH2-hMSH6 ATPase-- An extensive mathematical analysis of hydrolysis-dependent translocation by DNA helicases has suggested that the length of the DNA lattice on which translocation occurs could influence its enzyme concentration-dependent maximum velocity (kcat·DNA) and/or its DNA dependence (K1/2·DNA) (39); see the Addendum). We have examined the stimulation of the hMSH2-hMSH6 ATPase by DNAs ranging in length from 41 to 501 bp at a physiological relevant salt concentration (Fig. 6). These PCR-derived DNA substrates contain an equal molar mixture of G/T and C/A mismatched molecules within identical sequence contexts. Data were fit to the Michaelis-Menten equation, and the resulting kcat·DNA and K1/2·DNA values are displayed in Table III. A small but reproducible (n = 3) decrease in the kcat·DNA was observed in the presence of both mismatched and homoduplex DNA. This decrease in kcat·DNA with increasing DNA length is opposite to that found with E. coli helicase II (40) and predicted by a theoretical analysis of ATP-dependent translocases (39). Moreover, we observe a 3-4-fold decrease in the K1/2·molecules (in units of DNA molecules) and/or an equivalent increase in the K1/2·base pairs (in units of DNA base pairs) as the length of the mismatched DNA is increased from 41 to 501 bp. By comparison we found no consistent change in K1/2·DNA (DNA molecules or base pairs) with varying homoduplex (G/C) DNA lengths. The larger standard deviations for homoduplex (G/C) K1/2·DNA may reflect the uncertainty of curve fitting with these shallower binomial functions.


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Fig. 6.   Stimulation of hMSH2-hMSH6 ATPase activity by mismatched DNA substrates of varying lengths. ATPase assays of hMSH2-hMSH6 (75 nM) at 100 µM ATP with varying concentrations of 41-bp (A), 125-bp (B), 251-bp (C), or 501-bp (D) heteroduplex (solid circles) or homoduplex (open circles) DNA substrates. Assays were performed at 110 mM NaCl and 2 mM MgCl2. ATPase velocity is presented as min-1 ((mol ATP hydrolyzed) (mol hMSH2-hMSH6)-1 min-1). Heteroduplex DNA consists of an equal molar mixture of molecules with a central G/T or C/A mismatch (as described under "Materials and Methods"). Data were fit to the Michaelis-Menten equation. Kinetic parameters of these assays are presented in Table III.

Our findings contrast those of Blackwell et al. (19) who have reported a "significant" increase (approximately one half the order of magnitude as shown here) in the kcat·DNA of hMSH2-hMSH6 in the presence of increasing length homoduplex and mismatched DNAs. These differences could be the result of nonuniform substrates or biochemical conditions. For example, the ATPase assays contained in Blackwell et al. (19) were performed at 50 mM KCl, a concentration at which hMSH2-hMSH6 shows no ATPase discrimination between mismatched and homoduplex (G/C) DNA (Fig. 2). The length-dependent ATPase studies described here were performed at the peak salt concentration (110 mM) for both the ATPase and MMR in vitro (Fig. 2 and Ref. 19). Moreover, the mismatch context varied significantly in Blackwell et al. (19).

The modest decrease in at least the kcat·DNA with increasing DNA length appears to support the Molecular Switch model (see the Addendum), although we recognize the limitations of such meager alterations. However, the decrease in kcat·DNA clearly suggests that further studies of the length dependence are warranted. Although we cannot rule out the possibility that hydrolysis associated with a translocation event may occur in steps greater than 250 bp (the arm length of the 501-bp substrate), it is worth noting that comparison of linear 2.9-kilobase heteroduplex DNA to an equal amount of the same length circular DNA yielded a decrease in the velocity of the hMSH2-hMSH6 ATPase (2). In this latter case the Hydrolysis-Driven Translocation model would predict an increase in ATPase velocity as the DNA length was increase from a linear 2.9-kilobase DNA to a circular molecule of infinite length (40).

    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Following our initial report (1), there now appears to be general agreement that mismatched DNA stimulates ATP hydrolysis by hMSH2-hMSH6 (19). However, there is substantial dissent regarding the role of ATP hydrolysis in the mechanism of MMR (2, 3, 5). The Hydrolysis-Driven Translocation model suggests that mismatched DNA activates an ATP hydrolysis translocation of hMSH2-hMSH6 along the DNA backbone (5). The Molecular Switch model suggests that mismatched DNA provoked ADPright-arrowATP exchange results in an ATP-bound sliding clamp that can diffuse along the DNA backbone with subsequent ATP hydrolysis upon release from DNA, which recycles the recognition complex (2, 3). The results presented here appear to provide accumulating support for the Molecular Switch model.

Although the competing MMR mechanisms accomplish the same goal of transducing a mismatch signal along the DNA backbone to downstream repair machinery, the concept of a "threshold signaling" mechanism via a Molecular Switch versus the "single-event signaling" of Hydrolysis-Driven Translocation may not be immediately obvious. In the Molecular Switch model, we have proposed and demonstrated that multiple molecules of hMSH2-hMSH6 may become associated with the mismatched DNA (2); once a mismatch provoked ADPright-arrowATP exchange event occurs, the complex forms a hydrolysis-independent sliding clamp that diffuses away from the mismatch, which then leaves it exposed for subsequent binding, adenosine nucleotide exchange, and further rounds of stochastic bidirectional clamp formation events. It would be the threshold number of molecules in the ATP-bound sliding clamp form that ultimately transduces the signal that a mismatch is present in the DNA and is similar to G protein-mediated signaling events. Moreover, the timing and/or assembly of the MMR machinery would be authorized by this threshold signal. Hydrolysis of ATP in this model merely recycles the switch in a continuous turnover process, also similar to G protein-mediated signaling events. In our in vitro system, this hydrolysis occurs when the molecules transit a free end (1). However, in vivo the hydrolysis may be intrinsic or driven by an ATPase accelerator protein similar to GTPase-activating proteins (GAPs) in the G protein signaling system. The Hydrolysis-Driven Translocation model suggests that a single-binding event results in MMR by controlled motoring to the downstream repair machinery. Because it is unclear how many ATP molecules would be required to propel either of these models, the "efficiency" of the process cannot be compared. However, it would appear unlikely that they are significantly different.

Although part of the disagreement between these models resides in the interpretation of similar observations, there is also some deviation in data that might be traced to biochemical conditions. One of the interpretation differences resides in binding of adenosine nucleotide, which results in release of hMSH2-hMSH6 from the mismatched nucleotides. It has been proposed that mispair binding occurs in an adenosine nucleotide-free state of hMSH2-hMSH6 and is based on the observation that ADP is capable of promoting the release of hMSH2-hMSH6 from a mismatched DNA substrate (5). The t1/2 of this release is approximately 10-fold slower than that observed for ATP and approximately 20-fold faster than in the absence of nucleotide. We have found that both hMSH2-hMSH6 and hMSH2-hMSH3 can adopt distinct conformations (as determined by partial proteolysis) dependent on whether they are bound by ADP, ATP, or in the absence of adenosine nucleotide (2, 34). A binding constant in the low µM range (Fig. 4 and Ref. 1) appears to suggest that hMSH2-hMSH6 is associated with adenosine nucleotide at most times in vivo and that the physiologically significant mismatch recognition form would be ADP-bound. Thus, the release of hMSH2-hMSH6 by ADP, as measured by plasmon resonance methodology, might reflect a transition/reversion to a physiologically significant equilibrium binding form (which may dissociate in the continuous-flow Biacore plasmon resonance system). It is possible that separate comparison of the on rate and the off rate of the ADP-bound and adenosine nucleotide-free hMSH2-hMSH6 by plasmon resonance may be informative. These studies are in progress. With regard to the Molecular Switch model, we consider the possibility that mispair recognition promotes the release of ADP much as guanine nucleotide exchange factors enhance the release of GDP from signaling G proteins.

In the present form of the Hydrolysis-Driven Translocation model, the role of a mismatched nucleotide is merely to target the hMSH2-hMSH6 to the mismatched DNA (5). Importantly, there does not appear to be a role for mismatch provoked ADPright-arrowATP exchange. Here we have demonstrated that individual mismatch-provoked ADPright-arrowATP exchange is unique and rate-limiting as predicted by the Molecular Switch model. This conclusion is underlined by the observation that the hierarchy of mismatched DNA provoked ATPase by hMSH2-hMSH6 largely correlates with the hierarchy of MMR in vitro and in vivo.

One of the most important distinctions raised by Blackwell et al. (19) is that a Hydrolysis-Driven Translocation model should result in a DNA length-dependent increase in kcat·DNA similar to that observed with DNA helicase II (40). We have examined the DNA length dependence of both the kcat·DNA and K1/2·DNA using a series of DNA substrates that contain a single mismatch imbedded in an identical sequence context. In contrast to the predictions of the Hydrolysis-Driven Translocation model, we find no increase in the kcat·DNA for either heteroduplex (G/T) or homoduplex (G/C) DNA. We consider the possibility that the low salt conditions or the use of DNA substrates containing multiple mismatched nucleotides contributed to the different kcat·DNA observations (19). The modest decrease in the kcat·DNA as a function of DNA length appears to be predicted by a kinetic model for an ATPase that is controlled by structure-provoked ADPright-arrowATP exchange, hydrolysis-independent diffusion along the DNA backbone, and subsequent hydrolysis upon reaching an end and/or dissociating from the DNA (see the Addendum). This kinetic model also predicts a DNA length-dependent decrease in the K1/2·molecules, which can be interpreted to suggest that as the length of the mismatched DNA increases, the apparent affinity for the mismatched DNA increases. One could imagine that the increasing length of time in which a hydrolysis-independent sliding clamp may be associated with a DNA of increasing length might be translated to an apparent decrease in the K1/2·molecules. However, another intriguing possibility is that hMSH2-hMSH6 associates with the DNA in a "search mode" prior to mismatch recognition and ADPright-arrow ATP exchange. Thus, the longer the DNA substrate, the more likely that it may associate in this search mode prior to mismatch recognition and ADPright-arrowATP exchange. It is important to note that the role of the MutL homologs is unknown and may modify the function of the MutS homologs.

    ACKNOWLEDGEMENTS

We thank our laboratory colleagues for helpful discussions, M. Germann for advice DNA binding analysis, H. Alder and the Kimmel Nucleic Acid Facility for preparation of oligonucleotides, and P. von Hippel for helpful discussions and review of the kinetic derivations contained in the Addendum.

    Addendum

A steady-state ATPase rate description for a hydrolysis-independent sliding clamp can be formulated based on partition analysis and the concept of net rate constants first described by Cleland (41). The method is similar to that described by Young et al. (39) for ATP hydrolysis-driven translocases. A description of the kinetic steps and net rate constants associated with hMSH2-hMSH6 mismatch recognition (k1'), adenosine nucleotide exchange (k2'), hydrolysis-independent diffusion (kt), and ATP hydrolysis at the terminal boundary of the DNA (katp; kd) are shown in Scheme I.3 This kinetic scheme describes the Molecular Switch model and is discussed in the text as well as by Gradia et al. (2). For simplicity, we show ADP dissociating from the protein in Scheme I. However, ADP may remain associated with the protein complex, and its dissociation (during ADPright-arrowATP exchange) may be embedded in the k2' net rate constant of Scheme I (or k1' net rate as outlined in Scheme III). The average apparent rate constant for travel to the end of a lattice (in this case DNA) has been defined as kt (39) and was derived from a kinetic formalism similar to Scheme II (note that k1 and k-1 are not related to those found in Scheme I or Scheme III and merely formalize the stepwise movement of the E*ATP complex along the DNA length from position 0 right-arrow 1 right-arrow 2 right-arrow  ... right-arrow i). Although the dependence of kt on lattice length (lambda ) has been obtained assuming an ATP hydrolysis-dependent translocation mechanism (39), such an assumption appears unnecessary for these derivations.
<UP>E*DNA<SUB>0</SUB>*ATP</UP> <LIM><OP><ARROW>⇄</ARROW></OP><LL>k<SUB>−1</SUB></LL><UL>k<SUB>1</SUB></UL></LIM> <UP>E*DNA<SUB>1</SUB>*ATP</UP>… <LIM><OP><ARROW>⇄</ARROW></OP><LL>k<SUB>−i</SUB></LL><UL>k<SUB>i</SUB></UL></LIM> <UP>E*DNA</UP><SUB>i</SUB><UP>*ATP</UP>

<UP><SC>Scheme</SC> II</UP>

<UP>For unidirectional single walk: </UP>k<SUB><UP>t</UP></SUB>=<FR><NU>2k<SUB>i</SUB>′</NU><DE>&lgr;+1</DE></FR> (Eq. 1)

<UP>For random walk: </UP>k<SUB><UP>t</UP></SUB>=<FR><NU>6k<SUB>i</SUB>′</NU><DE><UP>&lgr;<SUP>2</SUP></UP></DE></FR> (Eq. 2)
Thus, Equations 1 and 2 adapted from Young et al. (39) for unidirectional and random walk translocation appear analogous for a hydrolysis-independent sliding clamp (Scheme III). We next consider a further simplification of the kinetic model that employs the form expressed by Young et al. (39), which includes DNA (mismatch) binding and ADPright-arrow, which ATP exchange in a single net rate constant k1' (that now includes k1' and k2' from Scheme I) as illustrated in Scheme III. In this scheme, we imagine that ADP does not dissociate from the protein until ADPright-arrowATP exchange (termed E'); the kinetic rate constant for ATP hydrolysis (katp) need only require dissociation of PI, which is the measure of ATPase described in the text. From this simplified kinetic scheme, it is clear that the rate of ATP hydrolysis depends on the formation of E*DNAT', which is the terminal hydrolysis-independent translocation species of the protein.
v=<FR><NU><FR><NU>k<SUB><UP>atp</UP></SUB>k<SUB><UP>t</UP></SUB></NU><DE>(k<SUB>d</SUB>+k<SUB><UP>t</UP></SUB>)</DE></FR> [<UP>E<SUB>o</SUB></UP>][<UP>DNA</UP>]</NU><DE><FR><NU>k<SUB>d</SUB>(k<SUB>−1</SUB>+k<SUB><UP>t</UP></SUB>)</NU><DE>k<SUB>1</SUB>(k<SUB>d</SUB>+k<SUB><UP>t</UP></SUB>)</DE></FR>+[<UP>DNA</UP>]</DE></FR> (Eq. 3)
Consideration of Scheme III and the concept of net rate constants (41) leads to an expression for the steady-state rate of ATP hydrolysis (Equation 3) where [Eo] is the total enzyme concentration and [DNA] represents the concentration of DNA on a molecule basis. Such a steady-state function is similar to that derived by Young et al. (39) and contains terms for Vmax and kact. We have found that these terms are most conveniently expressed as kcat·DNA (the product of Vmax and the total enzyme concentration [Eo]) and K1/2·DNA (Kact). The expression for kcat·DNA is shown in Equation 4.
k<SUB><UP>cat · DNA</UP></SUB>=<FR><NU>k<SUB><UP>atp</UP></SUB>k<SUB><UP>t</UP></SUB></NU><DE>(k<SUB>d</SUB>+k<SUB><UP>t</UP></SUB>)</DE></FR>[<UP>E<SUB>o</SUB></UP>] (Eq. 4)

k<SUB><UP>cat · DNA</UP></SUB>=<FR><NU>k<SUB><UP>atp</UP></SUB>2k<SUB>i</SUB>′[<UP>E<SUB>o</SUB></UP>]</NU><DE>k<SUB>d</SUB>&lgr;+k<SUB>d</SUB>+2k<SUB>i</SUB>′</DE></FR> (Eq. 5)

k<SUB><UP>cat · DNA</UP></SUB>=<FR><NU>k<SUB><UP>atp</UP></SUB>6k<SUB>i</SUB>′[<UP>E<SUB>o</SUB></UP>]</NU><DE>k<SUB>d</SUB>&lgr;<SUP>2</SUP>+6k<SUB>i</SUB>′</DE></FR> (Eq. 6)
Because the term kt contains the lattice length dependence (lambda ), we have solved Equation 4 using the derivations of length dependence shown in Equations 1 and 2 (see Equations 5 and 6). Assuming a unidirectional or biased diffusion mechanism, kcat·DNA appears inversely proportional to the DNA length (1/lambda ) (Equation 5), whereas kcat·DNA appears inversely proportional to the square of the length (1/lambda 2), assuming a random walk diffusion mechanism (Equation 6). There do not appear to be enough data points in Table III to distinguish between unidirectional and random walk mechanisms. However, the kcat·DNA for both heteroduplex (G/T) and homoduplex (G/C) DNA appears inversely proportional to the DNA length, which is consistent with the molecular switch model (derived above), and appears inconsistent with an ATP Hydrolysis-Driven Translocation model (see Ref. 39).
K<SUB>1/2 · <UP>DNA</UP></SUB>=<FR><NU>k<SUB>d</SUB>(k<SUB>−1</SUB>+k<SUB><UP>t</UP></SUB>)</NU><DE>k<SUB>1</SUB>(k<SUB>d</SUB>+k<SUB><UP>t</UP></SUB>)</DE></FR> (Eq. 7)

K<SUB>1/2 · <UP>DNA</UP></SUB>=<FR><NU>k<SUB>−1</SUB>k<SUB>d</SUB>(&lgr;+1)+k<SUB>d</SUB>2k<SUB>i</SUB>′</NU><DE>k<SUB>1</SUB>k<SUB>d</SUB>&lgr;+k<SUB>1</SUB>k<SUB>d</SUB>+k<SUB>1</SUB>2k<SUB>i</SUB>′</DE></FR> (Eq. 8)

K<SUB>1/2 · <UP>DNA</UP></SUB>=<FR><NU>k<SUB>−1</SUB>k<SUB>d</SUB>&lgr;<SUP>2</SUP>+k<SUB>d</SUB>6k<SUB>i</SUB>′</NU><DE>k<SUB>1</SUB>k<SUB>d</SUB>&lgr;<SUP>2</SUP>+k<SUB>1</SUB>6k<SUB>i</SUB>′</DE></FR> (Eq. 9)
We have additionally solved the kt term embedded in K1/2·DNA (Equation 7), assuming a unidirectional or biased walk diffusion mechanism (Equation 8) or a random walk diffusion mechanism (Equation 9). Inspection of Equations 8 and 9 reveals the length dependence term (lambda ) in both the numerator and denominator. However, the numerator term also contains the reversible kinetic constant k-1, which may be considered to be inordinately low in the case of hMSH2-hMSH6 mispair binding. This is because the forward kinetic rate constant, k1, is coupled with ADPright-arrowATP exchange and the formation of a hydrolysis-independent sliding clamp. Reversibility of this process would appear substantially reduced compared with the forward rate. A discounted influence of the numerator term containing the length dependence (lambda ) suggests that K1/2·DNA should be inversely proportional to the DNA length for both the unidirectional or biased (1/lambda ) and random walk mechanisms (1/lambda 2). Although the number of data points is not sufficient to distinguish between the unidirectional or biased versus a random walk diffusion mechanism(s), these derivations are entirely consistent with the results presented in Table III. Moreover, the consistency in length dependence of both the kcat·DNA and K1/2·DNA appear to further support the validity of these kinetic derivations.


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Scheme I.  


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Scheme III.  

    FOOTNOTES

* This work was supported by National Institutes of Health Grants CA56542 and CA67007.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.

The biophysical kinetic derivations are dedicated to Robert C. Warner, a continuing inspiration, teacher, and friend.

Dagger To whom correspondence should be addressed: Genetics and Molecular Biology Program, Dept. of Microbiology and Immunology, Kimmel Cancer Center, Thomas Jefferson University, 233 S. 10th St., Philadelphia, PA 19107. E-mail: rfishel@hendrix.jci.tju.edu.

2 T. Wilson and R. Fishel, unpublished results.

3 Primed net rate constants, kt, and kd are as defined in Ref. 39.

    ABBREVIATIONS

The abbreviations used are: MMR, mismatch repair; ATPase, ATP hydrolysis activity; bp, base pairs; ATPgamma S, adenosine-5'-O-(3-thiotriphosphate); PCR, polymerase chain reaction; HNPCC, hereditary nonpolyposis colorectal cancer.

    REFERENCES
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

1. Gradia, S., Acharya, S., and Fishel, R. (1997) Cell 91, 995-1005[CrossRef][Medline] [Order article via Infotrieve]
2. Gradia, S., Subramanian, D., Wilson, T., Acharya, S., Makhov, A., Griffith, J., and Fishel, R. (1999) Mol. Cell 3, 255-261[CrossRef][Medline] [Order article via Infotrieve]
3. Fishel, R. (1998) Genes Dev. 12, 2096-2101[Free Full Text]
4. Allen, D. J., Makhov, A., Grilley, M., Taylor, J., Thresher, R., Modrich, P., and Griffith, J. D. (1997) EMBO J. 16, 4467-4476[CrossRef][Medline] [Order article via Infotrieve]
5. Blackwell, L. J., Martik, D., Bjornson, K. P., Bjornson, E. S., and Modrich, P. (1998) J. Biol. Chem. 273, 32055-32062[Abstract/Free Full Text]
6. Friedberg, E. C., Walker, G. C., and Siede, W. (1995) DNA Repair and Mutagenesis , American Society for Microbiology, Washington, D. C.
7. Fishel, R., Lescoe, M. K., Rao, M. R., Copeland, N. G., Jenkins, N. A., Garber, J., Kane, M., and Kolodner, R. (1994) Cell 75, 1027-1038
8. Bocker, T., Ruschoff, J., and Fishel, R. (1999) Biochim. Biophys. Acta 31, 1-10[CrossRef]
9. Fishel, R., and Wilson, T. (1997) Curr. Opin. Genet. Dev. 7, 105-113[CrossRef][Medline] [Order article via Infotrieve]
10. Drummond, J. T., Li, G.-M., Longley, M. J., and Modrich, P. (1995)