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J. Biol. Chem., Vol. 280, Issue 50, 41761-41768, December 16, 2005
Mass Spectrometric and Kinetic Analysis of ASF/SF2 Phosphorylation by SRPK1 and Clk/Sty*![]() 12 ¶13![]() ![]() ![]() 4
From the
Received for publication, April 18, 2005 , and in revised form, October 12, 2005.
Assembly of the spliceosome requires the participation of SR proteins, a family of splicing factors rich in arginine-serine dipeptide repeats. The repeat regions (RS domains) are polyphosphorylated by the SRPK and Clk/Sty families of kinases. The two families of kinases have distinct enzymatic properties, raising the question of how they may work to regulate the function of SR proteins in RNA metabolism in mammalian cells. Here we report the first mass spectral analysis of the RS domain of ASF/SF2, a prototypical SR protein. We found that SRPK1 was responsible for efficient phosphorylation of a short stretch of amino acids in the N-terminal portion of the RS domain of ASF/SF2 while Clk/Sty was able to transfer phosphate to all available serine residues in the RS domain, indicating that SR proteins may be phosphorylated by different kinases in a stepwise manner. Both kinases bind with high affinity and use fully processive catalytic mechanisms to achieve either restrictive or complete RS domain phosphorylation. These findings have important implications on the regulation of SR proteins in vivo by the SRPK and Clk/Sty families of kinases.
It is estimated that more than one-half of human genes are alternatively spliced (1). Although many of these genes may contain only a few splice variants, a few have been shown to possess thousands (1-3). RNA splicing occurs in the nucleus at a macromolecular complex composed of many RNA and protein molecules known as the spliceosome (4, 5). In the last decade it has become apparent that both the assembly of the spliceosome and selection of splice sites depend on the proper phosphorylation of a family of splicing factors known as SR proteins (1). The SR proteins are so named because they have long stretches of arginineserine dipeptide repeats in RS domains. Phosphorylation leads to translocation of the SR protein from the cytoplasm to the nucleus (6, 7) and recruitment of the SR proteins from sites of nuclear storage in speckles to nascent transcripts for splicing (8-10). Phosphorylated SR proteins are believed to facilitate both 5' and 3' splice site recognition through interaction with the RS domain in U1-70 K (a component of the U1 small nuclear ribonucleoprotein) and the U2AF heterodimer (11-13). More recently, RS domains were shown to interact directly with critical cis-acting elements in pre-mRNA (14, 15). In addition to their functions in the spliceosome, SR proteins are also shown to play a role in the export of processed mRNA from the nucleus to the cytoplasm for translation. Two shuttling SR proteins, ASF/SF26 and 9G8, have been shown to conduct the export of mRNA through interactions with a nuclear export factor, TAP (16-18). Hypophosphorylation of these SR proteins promotes interaction with TAP suggesting that transport may require splicing factor dephosphorylation. These shuttling SR proteins were also found to play a direct role in translation in the cytoplasm (19).
Although it is clear that SR proteins can be polyphosphorylated in the RS domain regions by the SRPK and Clk/Sty families of protein kinases (7, 20), the specificity and mechanism of SR protein phosphorylation by these kinases is still poorly understood. In previous investigations, we showed that SRPK and Clk/Sty have distinct substrate specificity and enzymatic kinetics in phosphorylating SR proteins (9). More recently, we demonstrated that SRPK1 uses a fully processive catalytic mechanism to phosphorylate the prototypical SR protein ASF/SF2 (21). This finding is interesting, because it indicates that SRPK1 makes a single encounter with ASF/SF2 and catalyzes the ATP-dependent phosphorylation of the RS domain without dissociating from the substrate. This unusual mechanism is prompted, in part, by a high affinity interaction between the enzyme and splicing factor (Kd In this present study mass spectrometric and kinetic methods were used to determine how the SRPK and Clk/Sty families of protein kinases modify sequences in the RS domain of ASF/SF2. The results reveal that the RS domain in ASF/SF2 is not a random sequence with Arg-Ser repeats as the only recognizable feature. Instead, the RS domain can be divided into two subdomains, one of which was efficiently phosphorylated by SRPK1. In contrast, Clk/Sty was capable of transferring phosphate to all available serines in the RS domain. The phosphorylation of these subdomains appears to occur through similar catalytic mechanisms. Both SRPK1 and Clk/Sty can phosphorylate the RS domain using fully processive mechanisms. Interestingly, SRPK1 phosphorylates only the N-terminal portion of the RS domain before dissociating, whereas Clk/Sty can stay attached and phosphorylate the entire RS domain.
MaterialsATP, MOPS, MES, MgCl2, KCl, NaCl, acetic acid, sucrose, Kodak imaging film (Biomax MR), trifluoroacetic acid, bovine serum albumin, acetonitrile, and liquid scintillant were obtained from Fisher Scientific. Glutathione immobilized on 4% beaded agarose and free glutathione were purchased from Sigma. Precast 10% PAGE gels were obtained from Bio-Rad, and [ -32P]ATP was obtained from PerkinElmer Life Sciences. -Cyano-4-hydroxycinnamic acid was obtained from Aldrich Chemicals and recrystallized once from ethanol. Expression and Purification of Recombinant ProteinsConstruction of pET19b-ASF/SF2 containing the ASF/SF2 coding sequence with a His10 tag at the N terminus was constructed by inserting the PCR products of this gene in-frame into the NdeI and BamH1 sites of pET19b vector for expressing in Escherichia coli. The ASF/SF2 quadruple mutant (R210K/R218K/R229K/R240K) was generated by polymerase chain reaction using the QuikChangeTM mutagenesis kit (Stratagene, La Jolla, CA) with pET19b-ASF wild-type construct as template. The plasmids for SRPK1 and Clk/Sty were described previously (24). A kinase-inactive form of SRPK1 (kdSRPK1) was generated by replacing Lys at position 109 with Met and was previously described (25). A kinase-inactive form of Clk/Sty (kdClk/Sty) was constructed by replacing Lys at position 190 with Met.
The plasmids for wild-type and mutant forms of His-tagged ASF/SF2 were transformed into the BL21(RIL) E. coli strain, and the cells were then grown at 37 °C in LB broth supplemented with 100 µg/ml ampicillin. Protein expression was induced with 0.1 mM isopropyl 1-thio-
Clk/Sty was expressed from a pRSETA plasmid construct in E. coli BL21-DE3 pLysS and induced with 0.8 mM isopropyl 1-thio-
Phosphorylation ReactionsThe phosphorylation of ASF/SF2 by SRPK1 and Clk/Sty was carried out according to previously published procedures in the presence of 50 mM MOPS (pH 7.0), 10 mM free Mg2+, 5 mg/ml bovine serum albumin, and [
Mass Spectrometric AnalysesMALDI-TOF analyses were carried out using a PerSeptive Biosystems Voyager DE PRO spectrometer. Preparation of phosphorylated protein samples were typically carried out using SRPK1 (5 and 10 µM) and ASF/SF2 (5 and 10 µM) in the presence of 50 mM Tris-HCl (pH 7.4), 10 mM free Mg2+, 1 mM dithiothreitol at room temperature. Reactions were initiated with the addition of 3 mM ATP in a total volume of 40 µl. Reactions then were quenched with 3 volumes of 8 M urea, desalted with Zip-tip C18, and eluted with 80% acetonitrile, 0.08% trifluoroacetic acid for MALDI-TOF analysis. Unphosphorylated sample controls were prepared in the same manner except ATP was omitted. The matrix solution consisted of 5 mg/ml
Data AnalysisProgress curve data for ASF/SF2 phosphorylation were plotted as a ratio of incorporated phosphate and the total substrate concentration as a function of time and were fit to either a single- or double-exponential function unless otherwise stated. In the latter case, the amplitude of the first phase (
where BF is the fraction bound, and [S]o and [E]o are the total concentrations of ASF/SF2 and SRPK1. Experiments were typically performed using fixed [S]o and varying [E]o.
Phosphorylation Kinetics of ASF/SF2 by SRPK1 and Clk/StyThe phosphorylation of ASF/SF2 by multiple kinases was evaluated by excising 32P-labeled bands from SDS-PAGE gels corresponding to the phosphorylated forms of the substrate. The SRPK1 reaction is accompanied by a time-dependent increase in band intensity for ASF/SF2 as previously described (21). The Clk/Sty reaction is accompanied by both an increase in band intensity and a small change in migration state of ASF/SF2 on the gel as described previously (26). Data in Fig. 1A show that both SRPK1 and Clk/Sty catalyze rapid ASF/SF2 phosphorylation in single turnover experiments ([E] > [ASF/SF2]). Although SRPK1 could only phosphorylate 8-10 sites as previously shown (21, 27), Clk/Sty was able to modify 20 sites, a value reflecting all available serines in the RS domain of ASF/SF2. Because this radioactive incorporation assay requires precise determinations of substrate concentration, we used MALDI-TOF mass spectrometry to obtain substrate-independent measurements of phosphoryl content. Fig. 1 (B and C) displays the spectra of ASF/SF2 with SRPK and Clk/Sty before and after treatment with ATP. The M+1 peak for ASF/SF2 increases to a higher mass/charge in the presence of both kinases consistent with ATP-dependent phosphorylation. For SRPK1, an increase of 845 mass units was observed, consistent with the incorporation of 10 phosphates per substrate molecule (Fig. 1B). In contrast, Clk/Sty treatment resulted in a large mass shift (1720 mass units), consistent with the incorporation of 22 phosphates (Fig. 1C).
Dissociation Constants of SRPK1 and Clk/StyBecause SRPK1 and Clk/Sty exhibit differential phosphorylation patterns, we sought to determine whether this unique specificity is linked to the stabilities of the enzyme-substrate complexes. To determine the affinities of both kinases for ASF/SF2, single turnover profiles were monitored as a function of total enzyme concentration. For both kinases, the phosphorylation kinetics of ASF/SF2 is biphasic at lower enzyme concentrations (Fig. 1, D and E), a phenomenon observed previously for SRPK1 (21). All progress curves approach a common end point defined by the total number of phosphorylation sites accessible by the kinase. In contrast, the kinetic profiles approximate single exponential transients that quickly reach an end point at high SRPK1 and Clk/Sty concentrations (>500 nM). The rate constants for the fast phases are similar in value and do not vary significantly over a wide range of enzyme concentrations ( 1-2 min-1). The amplitude of the first phase is used as an estimate of the initial concentration of the enzyme-substrate complex, and its enzyme dependence can then be used to determine the Kd values for both SRPK1 and Clk/Sty (Fig. 1F). Fitting the normalized amplitude data to Equation 1 provides Kd values of 80 and 160 nM for SRPK1 and Clk/Sty. Mapping the SRPK1 Phosphorylation Sites in ASF/SF2 by MALDI-TOFBecause SRPK1, unlike Clk/Sty, phosphorylates only a subset of serine residues in the RS domain of ASF/SF2, we mapped the phosphorylation sites by MALDI-TOF using LysC-catalyzed proteolysis. This endoproteinase cuts specifically after lysine residues and, thus, is expected to produce ten fragments in ASF/SF2. Eight of these fragments are readily identified in the mass spectra, and four are displayed in Fig. 2 (A and B, -ATP). When ASF/SF2 is phosphorylated by SRPK1 (Fig. 2A, +ATP), a fragment (peptide 10) corresponding to the complete RS domain is absent, and no phosphorylated forms at higher molecular weight are detected. The disappearance of this fragment is likely due to poor flight of the phosphopeptide in the instrument (even after treatment with guanidine hydrochloride, see below), which is a widely known phenomenon in analyzing phosphopeptides by mass spectrometry (28). In contrast, the peaks corresponding to peptides outside the RS domain are unaffected by ATP treatment. A similar phenomenon is also observed when ASF/SF2 is phosphorylated by Clk/Sty and subjected to LysC proteolysis (Fig. 2B). Only the peak corresponding to the full RS domain disappears. These data indicate that both Clk/Sty and SRPK1 do not phosphorylate residues outside the RS domain.
Traditional protease mapping approaches to identify the subset of residues modified by kinases are not readily applicable here owing to the extensive arginine-serine dipeptide redundancy in the RS domain. To overcome this problem, four lysine mutations were introduced into the RS domain (R210K/R218K/R229K/R240K) to disrupt the arginine-serine repeat region and facilitate specific fragmentation of this domain by LysC, which was expected to generate five additional, unique peptide fragments in the MALDI-TOF spectrum (fragments 10a-e at the top of Fig. 3). In separate kinetic and mass spectrometric studies, we showed that SRPK1 phosphorylated the quadruple mutant to the same phosphoryl content and by the same mechanism as wild-type ASF/SF2 (data not shown). Upon phosphorylation of the quadruple mutant by SRPK1, two of the five fragments (10d and 10e) were unaffected while the remainder (10a-c) disappeared (Fig. 3A). To improve the flight of these fragments, guanidine hydrochloride (3 M) was added after LysC digestion to enhance detection (Fig. 3, B-D). For peptides 10a and 10c, new fragments were detected upon ATP treatment, which corresponded to the molecular weights of triple-phosphorylated peptides (Fig. 3, B and C). For peptide 10b, a peak corresponding to the quadruple-phosphorylated peptide was detected (Fig. 3D). Overall, 10 phosphates on these fragments were detected, a value consistent with the total phosphoryl content of the untreated quadruple mutant based on MALDI-TOF measurements (spectra not shown). These results, coupled with the absence of phosphorylation in peptides 10d and 10e, demonstrate that SRPK1 catalyzes site-specific phosphorylation in the N-terminal portion of the RS domain in ASF/SF2. Based on the position of serines within the peptide fragments, we conclude that SRPK1 modifies sites between residues 199 and 227. Stepwise Phosphorylation of ASF/SF2 By SRPK1 and Clk/StyThe finding that SRPK1 and Clk/Sty differentially phosphorylate the RS domain in ASF/SF2 raises an interesting question as to whether these two kinases could act synergistically on the same substrate. In light of our previous finding that SRPK1 and Clk/Sty could each form stable complexes with ASF/SF2, we asked whether Clk/Sty could still catalyze phosphorylation in the presence of SRPK1. These experiments were performed using equal concentrations of both Clk/Sty and SRPK1 so that either kinase can effectively compete with the other for ASF/SF2 if a common binding site is used. As shown in Fig. 4A, after pre-phosphorylation of ASF/SF2 with SRPK1, an equivalent amount of Clk/Sty was added (300 nM) and found to phosphorylate the remaining sites in the RS domain. In contrast, the addition of an equivalent amount of SRPK1 (300 nM) after prephosphorylation with Clk/Sty led to no significant increase in phosphoryl content (Fig. 4B). Thus, prephosphorylation of ASF/SF2 by SRPK1 does not impair further phosphorylation by Clk/Sty when equivalent amounts of enzyme are used. To determine whether or not the binding of one kinase could antagonize the other at higher concentrations, inhibition studies were performed using excess amounts of an inactive version of SRPK1 (kdSRPK1) that contains a Lys to Met mutation in the ATP binding site. Using a 50-fold molar excess of kdSRPK1 (50 µM), the phosphorylation of ASF/SF2 by Clk/Sty (1 µM) was effectively reduced to a small background reaction, consistent with the trapping of about 98% of the total substrate. The initial velocities for ASF/SF2 phosphorylation are 50 and 1.3 sites/min in the absence and presence of kdSRPK1. Overall, these findings suggest that SRPK1 antagonizes the action of Clk/Sty when present at high concentrations but allows complete and rapid phosphorylation of the RS domain when the enzyme concentrations are equivalent.
Processive Phosphorylation of ASF/SF2 by SRPK1We showed previously that SRPK1 catalyzes ASF/SF2 phosphorylation in a processive manner in a pre-formed enzyme-substrate complex (21). To extend this analysis to a more natural kinase-substrate system, we determined whether processive phosphorylation is a result of the method of complex preparation. To perform these studies, we combined native SRPK1 and ASF/SF2 without a re-folding step and determined whether this complex could be processively phosphorylated in start-trap experiments. In this experiment, the reaction is initiated with ATP (start) and simultaneously mixed with excess kdSRPK1 (trap). The experiment is performed under single turnover conditions where the SRPK1 concentration (1 µM) is
Clk/Sty Catalyzes Processive Phosphorylation of the Entire RS DomainBecause Clk/Sty phosphorylates ASF/SF2 to a greater extent than SRPK1, we wondered whether the complete modification of the RS domain could occur in a fully processive manner. To test for this possibility, we performed start-trap experiments using excess amounts of a kinase inactive form of Clk/Sty (kdClk/Sty) as a trapping agent for the detection of any free ASF/SF2. As shown in Fig. 5B, when added at reaction start, kdClk/Sty did not affect the reaction rate or end point for the Clk/Sty-catalyzed reaction. The efficiency of the trap was verified by demonstrating that kdClk/Sty could effectively inhibit the reaction when added to the complex prior to start. The initial velocity of the progress curve is lowered from 40 sites/min in the absence of kdClk/Sty to 1.1 sites/min in the presence of pre-equilibrated kdClk/Sty, a rate change corresponding to a trapping efficiency of 97%. These findings indicate that the absence of inhibition in the start-trap experiment is not the result of poor binding of the inactive kinase trap. Overall, these findings suggest that Clk/Sty is capable of processively phosphorylating the entire RS domain.
Sequential Phosphorylation of RS Domain Segments By Clk/StyTo determine whether Clk/Sty could sequentially phosphorylate portions of the RS domain, we analyzed the gel shift associated with ASF/SF2 phosphorylation. Unlike the SRPK1 reaction, the phosphorylation of ASF/SF2 by Clk/Sty occurs with a detectable gel shift in the phosphorylated species (inset to Fig. 6). A fast migrating species (lower) is populated early in the progress curve ( 0.3 min) followed by the production of a slower migrating species (upper). The appearance and disappearance of the lower band were fitted to Equation 2,
where L is the concentration of incorporated 32P normalized to the total ASF/SF2 concentration at any time t, Lmax is the maximum phosphoryl content of the lower band, and k1 and k2 are the rate constants controlling the production and disappearance of the lower band. The time dependence for the generation of the upper band was fitted to Equation 3,
where U is the concentration of incorporated 32P normalized to the total concentration of ASF/SF2 at any time t, Umax is the phosphoryl content of the upper band, and k1 and k2 are defined as in Equation 2. Equations 2 and 3 are adapted from a previous study (29). As shown in Fig. 6, the appearance of the lower and upper bands follow a classic sequential reaction pattern where the lower (hypophosphorylated) species forms rapidly (3-6 min-1) and then disappears at the same rate constant as the formation of the upper (hyperphosphorylated) species (
In the present study, we characterized representatives of two major kinase families involved in post-translational modification of SR proteins. Enzyme-dependent single turnover data show that both kinases bind with similar affinities to ASF/SF2 (Fig. 1). By mass spectrometric mapping, we found, for the first time, that Clk/Sty is able to transfer phosphates to the majority of serine residues in the RS domain, whereas SRPK1 is highly restricted to a block of arginine/serine (RS) repeats in the N-terminal half of the RS domain, demonstrating clear regiospecificity between the two kinases (Figs. 2 and 3). The observation is consistent with previous phosphopeptide mapping, showing that the RS domain phosphorylated by Clk/Sty appears to give rise to a much more complicated phosphopeptide pattern than that by SRPK1 (9). These findings can now be used to explain some unexpected reactivities of SR proteins from other species. For example, the Drosophila ASF/SF2 ortholog dASF was shown to be a substrate for Clk/Sty, but not for SRPK1 (30). Sequence comparisons reveal that the first block of RS repeats in ASF/SF2 that are phosphorylated by SRPK1 is substituted with a glycine-tract in dASF, thereby, abolishing the SRPK1 sites but still preserving the Clk/Sty sites. The relaxed specificity of Clk/Sty-mediated phosphorylation indicates that this family of kinases may play a broad regulatory role in RNA metabolism in mammalian cells. Partial Phosphorylation of the RS Domain By SRPK1Although SRPK1 phosphorylates up to ten serines in the N-terminal portion of the RS domain, the kinetic transient associated with this modification is monophasic at high enzyme concentration. This raises the compelling question of how SRPK1 accomplishes multisite phosphorylation over a confined polypeptide stretch without introducing complex multiphase kinetics. Two mechanisms can be invoked to account for this phenomenon. First, SRPK1 may not distinguish between these sites and consequently may phosphorylate them randomly in a tight complex with ASF/SF2. Such a mechanism would require considerable flexibility in the RS domain so that all sites are equally accessible to the kinase and, thus, kinetically indistinguishable. Second, SRPK1 may phosphorylate these residues in a sequential manner with the initial site representing the slow step in the overall reaction. In this mechanism, the RS domain may be more rigidly held in place so that SRPK1 starts at one locus and then phosphorylates in a single direction (either N- or C-terminal) until the entire block of residues is modified. The placement of a slow phosphorylation step early in the reaction cycle allows the overall reaction to appear monophasic, satisfying the observed single exponential kinetic traces at high enzyme concentrations (Figs. 1 and 5). At this time, it is difficult to ascertain which mechanism predominates, because it is unclear whether the SRPK1-catalyzed reaction has a defined directionality or is random. Nonetheless, given the electrostatic changes expected in the RS domain upon modification, it is more likely that phosphorylation would affect interaction of the RS domain with the active site of SRPK1 and, thus, give rise to more complex multiphase kinetic behavior. Given this potential limitation, we suspect that SRPK1 is most likely to catalyze sequential, processive phosphorylation with an initial, rate-limiting priming step. Modifying the Entire RS Domain without Enzyme DissociationClk/Sty is not only capable of phosphorylating the entire RS domain of ASF/SF2, but it also accomplishes this feat using a fully processive pathway. Thus, Clk/Sty can remain attached to ASF/SF2 for a longer period of time, extending an otherwise regiospecific reaction and including all blocks of Arg-Ser repeats. Although it is not clear at this time whether either Clk/Sty or SRPK1 uses a preferred directionality for this modification, time-dependent gel shift assays suggest that regions of the RS domain are phosphorylated in sequential manners. For Clk/Sty an early phospho-intermediate is populated in the active site before conversion to the fully phosphorylated form. This early form is generated at a faster rate than the fully mature species, thus, establishing two identifiable blocks of Clk/Sty modification. Interestingly, Clk/Sty is capable of switching between these two phosphorylation blocks without dissociating from the SR protein. Cellular Control of Phosphorylation SpecificityThe current data indicate that Clk/Sty and SRPK1 can phosphorylate SR proteins sequentially but not simultaneously. Although Clk/Sty modifies additional residues in ASF/SF2 in the presence of equal amounts of SRPK1, an imbalance in the SRPK1 concentration can inhibit phosphorylation of the RS domain, because one kinase antagonizes the action of the other (Fig. 4). The cell avoids this potential conflict by anchoring the SRPK family of kinases in the cytoplasm (31) and restricting the Clk/Sty family of kinases to the nucleus (9). We have shown previously that the spatial control of SRPKs is achieved via a spacer within the conserved kinase core. Deletion of this spacer has little effect on the kinase activity but results in a quantitative shift of the kinase to the nucleus.7 These and other findings (9, 32, 33) are consistent with a model in which the SRPK family is largely involved in SR protein import into the nucleus, whereas nuclear-anchored Clk/Sty serves as a mediator for SR protein utilization in the nucleus. Unlike SRPK1, Clk/Sty has much broader substrate specificity so the full potential of this enzyme family in splicing control is likely to be more complex. The methods outlined in this report to accurately assess phosphoryl content, regiospecificity of modification, and kinetic pathways are important for understanding the role of these SR proteins and their regulatory kinases in splicing regulation.
* This work was supported in part by National Institutes of Health (NIH) Grant GM67969 and National Science Foundation Grant MCB-111068 (to J. A. A.) and by NIH Grant GM52872 (to X.-D. F.). The costs of publication of this article were defrayed in part by the payment of page charges. This article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
1 Both authors contributed equally to this work.
2 Supported by a minority supplement to NIH Grant GM52872.
3 Supported by NIH Training Grant GM07752. 4 To whom correspondence may be addressed. Tel.: 858-534-4937; Fax: 858-534-8549; E-mail: xdfu{at}ucsd.edu. 5 To whom correspondence may be addressed. Tel.: 858-822-3360; Fax: 858-822-3361; E-mail:joeadams{at}chem.ucsd.edu.
6 The abbreviations used are: ASF/SF2, human alternative splicing factor; MOPS, 3-(N-morpholino)propanesulfonic acid; MES, 2-(N-morpholino)ethanesulfonic acid; LysC, lysyl endoproteinase; MALDI-TOF, matrix-assisted laser desorption ionization-time of flight mass spectroscopy; RS domain, domain rich in arginine-serine repeats; SR proteins, splicing factor containing arginine-serine repeats; SRPK, SR-specific protein kinase.
7 J.-H. Ding, X.-Y. Zhong, J. C. Hagopian, B. E. Aubol, J. R. Feramisco, G. Ghosh, H.-L. Zhou, J. A. Adams, and X.-D. Fu (2005), submitted for publication.
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