Intrinsic fluorescence properties and structural analysis of p13(suc1) from Schizosaccharomyces pombe.

p13suc1 acts in the fission yeast cell division cycle as a component of p34cdc2. In the present work, structural information contained in the intrinsic fluorescence of p13suc1 has been extracted by steady-state and time-resolved fluorescence techniques. In its native form, the steady-state emission spectrum of p13suc1 is centered at 336 nm. Upon denaturation by guanidine HCl (4.0 M), the emission spectrum is shifted to 355-360 nm and the fluorescence intensity decreases 70%. The same changes are not obtained with p13suc1 at 56°C or after incubation at 100°C, and the protein appears to be substantially temperature-stable. The fluorescence decay of p13suc1 is best described by three discrete lifetimes of 0.6 ns (τ1), 2.9 ns (τ2), and 6.1 ns (τ3), with amplitudes that are dependent on the native or unfolded state of the protein. Under native conditions, the two predominant decay-associated spectra, DAS-τ2 (λmax = 332 nm) and DAS-τ3 (λmax = 340 nm), derive from two different excitation DAS. Moreover distinct quenching mechanisms and collisional accessibilities (kq(τ2)≫kq(τ3)) are resolved for each lifetime. An interpretation in terms of specific tryptophan residue (or protein conformer)-lifetime assignments is presented. The decay of the fluorescence anisotropy of native p13suc1 is best described by a double exponential decay. The longer correlation time recovered (9 ns ≤ Φ2 ≤ 15ns) can be associated with the rotational motion of the protein as a whole and a Stokes radius of 21.2 Å has been calculated for p13suc1. Anisotropy measurements obtained as a function of temperature indicate that, in solution, the protein exists exclusively as a prolate monomer. In 1 mM zinc, changes of the anisotropy decay parameters are compatible with subunits oligomerization.

p13 suc1 acts in the fission yeast cell division cycle both in G1 and G2 (Forsburg and Nurse, 1991;Reed, 1992). Originally identified in Schizosaccharomyces pombe as extragenic suppressor of certain cdc2 temperature-sensitive mutations (Hayles et al., 1986), in the yeast lysates the product of the suc1 gene was found associated with the major cell cycle regulator, p34 cdc2 Draetta et al., 1987). The addition of p13 suc1 to the kinase assay in vitro was able to rescue the defect in the Cdc2 mutant kinase activity (Booher et al., 1989;Moreno et al., 1989), and the protein was proposed to act as a regulatory component of the p34 cdc2 Draetta, 1990).
The nucleotide sequence of suc1 has been determined (Hindley et al., 1987), and p13 suc1 has been expressed in Escherichia coli . From that source p13 suc1 -Sepharose beads have been prepared, and their affinity binding to p34 cdc2 has been widely used to purify p34 cdc2 . The discovery of p34 cdc2 homologue in human suggested the universality of cell cycle control mechanisms (Lee and Nurse, 1987). In addition, concurrently with finding a p34 cdc2 homologous protein kinase, in the different eucaryotic species investigated, suc1 gene-related homologues have also been found (Simanis and Nurse, 1986;Draetta et al., 1987;Paris et al., 1990;Elledge and Spottswood, 1991;Hellmich et al., 1992;Lew et al., 1992). In the budding yeast Saccharomyces cerevisiae the CKS1 gene codes for a protein, p18 CKS , suppressor of Cdc28 mutations (Reed, 1992), while in the early studies on HeLa cells , Cdc2 protein kinase was found associated with a 13-kDa polypeptide. More recently, the human homologues of the p13 suc1 /p18 CKS proteins, p9 CKShs1 / p9 CKShs2 , have been identified as the products of the genes CKShs1 and CKShs2, respectively (Richardson et al., 1990). According to these findings p13 suc1 and its homologous proteins appear to be as ubiquitous as the p34 family of kinases, thus suggesting the essential role of p13 suc1 as components of the cell cycle control mechanisms.
The relevance of the biological function of p13 suc1 has been advanced by several intriguing observations. The p34 cdc2 -p13 suc1 -Sepharose complex is active as protein kinase . The same matrix has been found to deplete M phase Xenopus extracts of the "M phase-promoting factor" (MPF) 1 (Dunphy et al., 1988), and this evidence has been confirmed among different cell species (Draetta and Beach, 1988;Arion et al., 1988;Draetta et al., 1989;Labbé et al., 1989;Pondaven et al., 1990;Meijer et al., 1989Meijer et al., , 1991. In addition, p13 suc1 inhibits the entry into mitosis in Xenopus extracts (Dunphy et al., 1988) and, microinjected in mammalian oocytes, inhibits the entry into meiosis (Gavin et al., 1992). Moreover, in vitro activation of the inactivated precursor of MPF (pre-MPF) from Xenopus oocytes results in tyrosine dephosphorylation of the p34 cdc2 protein. p13 suc1 completely blocks p34 cdc2 tyrosine 15 dephosphorylation and kinase activation (Dunphy and Newport, 1989). A model has been proposed in which a Cdc2-specific tyrosine kinase and phosphatase, as well as p13 suc1 , might interact to regulate the Cdc2 kinase (Dunphy and Newport, 1989).
Although these data suggest that p13 suc1 plays a significant * This work was supported by the Italian Research National Council (Consiglio Nazionale delle Ricerche) Grant 95.02368.CT04 (to P. N.). A preliminary account of this work was presented at the 39th Annual Meeting of the American Biophysical Society, February 12-16, 1995, San Francisco, CA. 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.
Fluorescence methods provide a useful tool to obtain dynamic and static information on the structure of proteins and macromolecular assemblies Eftink, 1991). In addition, these techniques can be used to investigate molecular interactions in the living cell. In this paper, we describe steady-state and time-resolved fluorescence studies on the intrinsic fluorescence of p13 suc1 . A characterization of its photophysics and hydrodynamic properties is presented. These information, combined with the recent characterization of the protein crystal structure (Endicott et al., 1995), will be useful for future studies on p13 suc1 structure/function relationships.

MATERIALS AND METHODS
The E. coli [BL21(DE3)]LysS strain expressing the suc1 gene product was kindly provided by Dr. Giulio Draetta (Mitotix, Cambridge, MA). Bacterial growth, induction by isopropyl-␤-D-thiogalactopyranoside, and purification of the protein were performed following the procedure described by Brizuela et al. (1987). A final gel filtration step on a Sephacryl S-100 HR column (80 ϫ 2 cm, flow rate: 0.1 ml/min) eluted with a buffer containing 50 mM Tris-HCl, pH 8.0, and 2 mM EDTA was added to obtain full homogeneity of the purified material. Protein concentration was determined by the Lowry method (Lowry et al., 1951) and by a bicinchoninic acid-based method (Smith et al., 1985) using bovine serum albumin as a standard. Routinely, purity of p13 suc1 was evaluated by reverse phase high performance liquid chromatography on a Vydac 208TP column (25 ϫ 1.0 cm) eluted in the presence of 0.1% trifluoroacetic acid at increasing acetonitrile concentrations (0 -80% of a 70:30, acetonitrile:H 2 O solution). The protein had an apparent M r of ϳ13.100 on 13% SDS-polyacrylamide gel electrophoresis (Laemmli, 1970) as measured on a Bio-Rad model GS-670 videodensitometer and using the Molecular Analyst software package. Isoelectrofocusing was performed on LKBAmpholine® PAGplates with a LKB apparatus. The measured pI ϭ 5.84 was in excellent agreement with the theoretical value of pI ϭ 5.80 obtained from the SWISS-PROT data base (ExPASy.WWW) of the Geneva University. The NH 2 -terminal region of the protein, blotted onto Pro-Blot (Applied Biosystem), was sequenced by Edman degradation up to 43 residues in a pulsed liquid Applied Biosystem model 476A protein sequencer. The obtained, 2-43, 2 primary structure shared 100% identity with the nucleotide sequence of suc1 as determined by Hindley et al. (1987).
Bacto-Agar, Tryptone, and yeast extract were obtained from Difco. isopropyl-␤-D-thiogalactopyranoside was obtained from Fluka. Soybean trypsin inhibitor, aprotinin, leupeptin, tosylphenylalanine chloromethyl ketone, and phenylmethylsulfonyl fluoride were from Sigma and stored following the instructions of the supplier.
Fluorescence Spectroscopy Measurements-Technical steady-state fluorescence excitation and emission spectra were obtained with a Jasko FP-550 spectrofluorometer using excitation and emission slit widths of 5 nm each. Fluorescence polarization measurements were performed using two Polacoat dichroic polarizers (Jasko FP-2010) installed in the excitation and the emission paths to record the relative intensities for the four combinations of vertically (v) and horizontally (h) polarized beams (I vv , I vh , I hh , I hv ). The resulting steady-state emission anisotropy, ϽrϾ, was calculated as follows, where G ϭ I hh /I hv is the grating correction factor introduced to normalize for the different sensitivity of the system to detect the horizontally and vertically polarized emission (Azumi and McGlynn, 1962;Paoletti and LePecq, 1969). Fluorescence quenching measurements of p13 suc1 were performed using acrylamide and potassium iodide as quenchers. With acrylamide, protein samples at increasing concentrations of the quencher were prepared by adding small aliquots from a 8 M stock solution. At the excitation wavelength of 295 nm no corrections for the optical density of the samples were required. With KI, protein samples at increasing concentrations of the quencher were prepared at constant ionic strength using KCl as a counter-ion. Stock solutions of KI (4 M) were freshly prepared in the presence of Ϸ1 ϫ 10 Ϫ4 M Na 2 S 2 O 3 to avoid I 3 Ϫ formation (Lehrer, 1971). Fluorescence decay experiments were recorded at increasing quencher concentrations (0 -0.42 M). Curves were collected at three emission wavelengths (330, 340, and 350 nm) for each concentration of the quencher, and the data were analyzed by the global procedure. Steady-state and time-resolved fluorescence results were analyzed according to the Stern-Volmer equation (Lehrer, 1971;Lakowicz, 1983), where F 0 and F and 0 and are the fluorescence intensity and the lifetime in the absence and the presence of the quencher Q. K SV is the Stern-Volmer constant and represents a measure of the quenching of the fluorescence intensity. In the case the total emitted fluorescence can be separated in discrete intensity contributions, f (i), from distinct species, the overall K SV is the weighted sum of the specific quenching constant/species, ⌺f(i)K SV (i). The expression for the collisional quenching ratio is, then, given by Equation 3 (Laws and Contino, 1992), while in the presence of a static contribution and considering the sphere of action model, the complete expression for the quenching ratio is given by Equation 4 (Laws and Contino, 1992), where V(i) represent the volume of the species-associated interaction sphere. Moreover, K SV is equal to k q 0 ; where k q is the apparent rate constant for the collisional quenching process and represents a measure of the overall accessibility of the fluorophores. Relative bimolecular collisional quenching constants, k q ( i ), can be obtained for each fluorescence lifetime. In this case, a simple modified form of the Stern-Volmer plot of 1/ i versus [Q] directly provide the k q ( i ) as the slope of the graph.
Nanosecond time-resolved fluorescence measurements were obtained by the time-correlated single photon counting method (O'Connor and Philips, 1984) using a model 5000U Fluorescence Lifetime Spectrometer (IBH Consultants Ltd., Glasgow, United Kingdom). Hydrogen (0.50 bar) was used as a filling gas of the thyratron-gated flash lamp. The instrument response function determined from a scattering solution of Ludox was typically 1.4 ns (full width at half-maximum) using a Hamamatzu R3235 photomultiplier. The channel width was 0.106 ns/ channel, and data were collected in 1024 channels. The decay of the total fluorescence intensity (10 4 counts in the peak) was recorded under "magic angle" conditions (Badea and Brand, 1979), and the wavelengthdependent time shift of the photomultiplier (Wahl et al., 1974) was determined in a separate experiment using melatonin (Sigma) as a standard. To resolve the excitation (EDAS) and the emission (DAS) spectra associated with the individual decay constants (Knutson et al., 1982), experimental curves were collected for equal dwell times and by stepping the excitation and the emission monochromators in increments of 2-5 nm. Time-resolved parameters were normalized with respect to the relative excitation and emission steady-state spectra.
The decay of the emission anisotropy of p13 suc1 was measured as described previously (Badea and Brand, 1979), using a combination of two Polacoat dichroic polarizers parallel (vv) and crossed (vh) with respect to the excitation and the emission paths. A depolarizer DPU-15 (Optics for Research, Caldwell, NJ) placed in front of the emission monochromator slit was used to minimize "G-factor" corrections (G Ϸ 1.007). Decay curves of the polarized components of the emitted fluorescence were separately collected within the same experimental time course by alternative collection of the "I vv " and "I vh " curves, plus the exciting function "lamp".
Fluorescence Data Analysis-Fluorescence intensity decay. The decay data were analyzed by nonlinear least square method (Knight and Selinger, 1971;Grinvald and Steinberg, 1974), and decay curves collected at multiple emission wavelengths were simultaneously analyzed according to the global procedure described by Knutson et al. (1983). When appropriate, the decay constants were linked across spectral regions. The experimental data (counts/channel Ͼ 0.5% of the total counts in the peak) were analyzed assuming that the fluorescence decay follows a multiexponential law, where the relative amplitudes, ␣ i , and the decay constants, i , are the numerical parameters to be recovered. The best fit between the theoretical curve and the data was evaluated from the plot of residuals, the autocorrelation function of the residuals, and the reduced Chi-square ( 2 ) (Bevington, 1969). The DAS and the EDAS were obtained by the global procedure , and the fluorescence relative intensities at the various wavelengths were expressed as ␣ i ⅐ i products. Percent fractional contributions of each decay component to the total emitted fluorescence was, then, calculated as, Fluorescence Anisotropy Decay-The anisotropy decay can be described by a sum of discrete exponential terms as follows (Wahl, 1969;Tao, 1969), where the sum of the pre-exponential terms ␤ i is the anisotropy in the absence of rotation, r 0 , and the i values are the rotational correlation times. For a globular protein that approximates the spherical symmetry, the anisotropy decay is reduced to a single exponential. Under this condition the correlation time can be related to the hydrated volume of the rotating protein, V, by the Einstein-Stokes relation, ϭ V/kT; where is the solvent viscosity, k is the Boltzman constant, and T is the experimental temperature. Alternatively, complex anisotropy decays suggest deviation from simple spherical symmetry. The parameters for the decay of anisotropy, r(t), were recovered from the analysis of the experimental decays of the polarization components, I vv (t) and I vh (t), by the system analysis approach introduced by Gilbert (1983). According to this method, the fitting functions to obtain r(t) are the following (Ameloot et al., 1984;Cross and Fleming, 1984), (Eq. 7) where s(t) represents the decay of the total fluorescence intensity and does not depends on molecular reorientation. Common parameters were linked, and /T terms were introduced in the analysis of anisotropy decay curves obtained at multiple temperatures. The variability of the decay parameters was evaluated by determining the joint confidence intervals (Johnson, 1983). All the steady-state and time-resolved fluorescence experiments were run at least twice using different preparations of p13 suc1 . The inter-experimental variability was less than 10%.
Circular Dichroism-Circular dichroism spectra were recorded on a Jasco J-710 spectropolarimeter. Protein samples (0.15 mg/ml) in 50 mM phosphate buffer, pH 7.4, 2 mM EDTA were measured in a 1-mm path length cell at 0.5-nm interval. Eight spectra were accumulated and averaged to achieve appropriate signal-to-noise ratios. The fractional composition of the secondary structure of p13 suc1 in terms of ␣-helix, ␤-sheet, and random coil was evaluated according to the procedure described by Andrade (1993). According to that procedure, neural network analysis of the protein topological map in the 200 -230 nm wavelength range was performed using the k2d.PC software.

RESULTS
The isolated protein resulted homogeneously pure as judged by the amino acids sequence of its 2-43 NH 2 -terminal region, by high performance liquid chromatography, by SDS-polyacrylamide gel electrophoresis, and by the measure of its pI (see "Materials and Methods").
Circular Dichroism-The CD spectra of p13 suc1 recorded at 20°C (curve 1), at 56°C (curve 2), and at 20°C after incubation at 100°C for 10 min (curve 3) is presented in Fig. 1. The data were recorded in the 180 -300 nm spectral range. The protein was dialyzed overnight against 50 mM phosphate buffer, 2 mM EDTA, at pH 7.4, to remove Tris-HCl. From these data a secondary structure composition of 23% ␣-helix, 19% ␤-sheet, and 58% random coil was obtained for the native protein at 20°C. At 56°C, an expected loss of ordered secondary structure is observed. However, when the spectrum is recorded at 20°C, with a sample previously incubated at 100°C, a small fraction of secondary structure is recovered and the intensity of the aromatic band (235 nm) is completely restored to the native level.
Steady-state Intrinsic Fluorescence-p13 suc1 contains two tryptophan (Trp-71 and Trp-82) and seven tyrosine residues (Tyr-27, Tyr-31, Tyr-36, Tyr-38, Tyr-55, Tyr-85, and Tyr-103). The steady-state emission spectra of the intrinsic fluorescence of p13 suc1 recorded under native and denaturing conditions are presented in Fig. 2. Under native conditions, emission spectra were obtained exciting the protein in both the tryptophan, 295 nm (curve 1), and the tyrosine, 275 nm (not shown), absorption bands. No differences of the steady-state emission spectra profiles were observed, suggesting a very poor contribution of the tyrosine residues. The maximum of the fluorescence intensity was centered at 336 nm, as expected for chromophores partially buried inside the protein. In 4.0 M GdnHCl, curve 2, the emission spectrum of p13 suc1 was shifted to 355-360 nm, and its intensity was decreased of approximately 70%. Higher guanidinium concentrations (6.0 M) did not cause further effects on the fluorescence spectrum. Emission spectra were also recorded in the absence of GdnHCl, at 56°C, curve 3; at 20°C, by cooling the same sample, curve 4; and finally at 20°C, with a sample previously incubated at 100°C for 10 min, curve 5. These data suggest that, up to 56°C, the structural transitions induced on p13 suc1 by heat are mostly reversible and even more severe temperature treatments do not denature the protein completely.
Time-resolved Intrinsic Fluorescence-To obtain dynamic information on p13 suc1 , the intrinsic fluorescence decay of the protein has been resolved in the nanosecond time scale. The decay of the fluorescence intensity was measured exciting the samples at 295 nm. A typical result of the analysis of the experimental data is presented in Fig. 3, together with the statistical parameters used to judged the quality of the fitting. The fluorescence decay of p13 suc1 is well described by three discrete decay components of 0.6 ns ( 1 ), 2.9 ns ( 2 ), and 6.1 ns ( 3 ); with the longer lifetime accounting for 64%, the medium lifetime for 32%, and the shortest lifetime for 4% of the total emission, respectively. The decay parameters of the native FIG. 1. Circular dichroic spectra of p13 suc1 . Far-uv CD spectra of p13 suc1 obtained at a protein concentration of 0.15 mg/ml in 50 mM phosphate buffer, pH 7.4, and 2 mM EDTA. The spectra were recorded at 20°C (curve 1), at 56°C (curve 2), and at 20°C with a sample previously incubated at 100°C for 10 min (curve 3).
protein are presented in Table I together with the results obtained with p13 suc1 at 56°C and in the presence of 4.0 M GdnHCl. In all the cases, the statistical quality for biexponential fittings was not adequate. It is shown that the decrease of the steady-state fluorescence intensity observed upon denaturation is due to a significant increase of the contributions of the shortest lifetime (16% versus 4%), accompanied by a dramatic decrease of the contribution of the long lifetime (35% versus 64%), with smaller effects from the contribution of the medium lifetime (49% versus 32%). Upon guanidine denaturation the fluorescence lifetimes were modestly affected, whereas at 56°C the decay parameters recovered indicate that the intensity decrease of the steady-state spectrum (Fig. 2, curve 3) is mainly due to a collisional mechanism with only minor effect on the relative weight of each decay constant.
In order to monitor the photophysical changes associated with the unfolding of p13 suc1 , fluorescence decay curves have been collected at increasing GdnHCl concentrations (Eftink, 1994). The recovered amplitudes are presented in Fig. 4. In the same figure the values obtained after overnight dialysis against GdnHCl-free buffer of the sample prepared at 4.0 M GdnHCl are also shown. From these data is derived that unfolding of the native protein is induced by GdnHCl concentrations higher than 0.5 M and that this process can be reversed by removal of the denaturing reagent.
Resolution of DAS provides useful information to assign emission bands to specific residues and to investigate protein's conformation (Ross et al., 1981;Knutson et al., 1982;Neyroz et al., 1987;Royer et al., 1990). The DAS of p13 suc1 obtained at 20°C, in 50 mM Tris-HCl, pH 8.0, and 2 mM EDTA, exciting at 295 nm are presented in Fig. 5A. Three lifetime DAS were recovered. As expected from the data presented in Table I, the spectrum associated with the long lifetime (6 ns) showed the major contribution with the maximal intensity at 340 nm, the spectrum associated with the medium lifetime (3 ns) showed an intermediate contribution with the maximal intensity at 332 nm, and finally the shorter lifetime (0.6 ns) showed a minor contribution with the maximal intensity at 325 nm. In the same figure the DAS obtained in the presence of 4.0 M GdnHCl are also shown. Besides to the expected red-shift of all the spectra, it appears that even under denaturing condition the each decay constant retains distinct spectral profiles. The re-solved spectral distributions suggest the association of the two major lifetimes with the emission of the tryptophan residues ( max Ն 330 -340 nm). In addition, the resolved EDAS, presented in Fig. 5B, indicate the existence of ground-state heterogeneity. This finding further support the assignment of each decay component with individual tryptophan residues or conformer.
The assignment of the shorter lifetime ( max Ϸ 325 nm) with a specific residue's emission is more problematic. It might originate from tyrosinate emission, or more likely, it might represent the contribution of some collisionally quenched tryptophan rotamer (p13 suc1 conformer) (Szabo and Rayner, 1980).
Fluorescence Quenching Measurements-To test the physical association of lifetimes with individual fluorophores in different sites, the distinct accessibility of the p13 suc1 fluorescence decay constants to quencher molecules (KI and acrylamide) has been evaluated (Lehrer, 1971;Ross et al., 1981;Knutson et al., 1982Knutson et al., , 1983. Stern-Volmer plots (1/ i versus [Q]) of the results obtained by time-resolved quenching measurements are presented in Fig. 6 (center and right panels). In addition, in the Fluorescence decay data were obtained at 20°C using an excitation wavelength of 295 nm (slit width of 32 nm) and the fluorescence emission was observed at 335 nm (slit width of 16 nm). The protein concentration was 0.2 mg/ml in a buffer containing 50 mM Tris-HCl, pH 8.0, and 2 mM EDTA. The calibration time for each channel was 0.106 ns. On the y axis are reported the photon counts in a logarithmic scale. The narrower solid line profile is the instrument's response function (lamp), whereas the slower decaying noisy and noise-free solid curves represent the experimental decay and the theoretical parameters convolved with the lamp, respectively. For comparison, the dotted line represents the fluorescence decay measured in the presence of 4.0 M GdnHCl. The autocorrelation function of the weighted residuals (A) and the plot of the weighted residuals (C) are shown. The fluorescence decay parameters of the native protein were: ␣ 1 ϭ 0.21, 1 ϭ 0.63 ns, ␣ 2 ϭ 0.33, 2 ϭ 2.86 ns, ␣ 3 ϭ 0.34, 3 ϭ 6.07 ns, 2 ϭ 1.11 for the three fluorescence decay components.
figure (left panel) are also reported the Stern-Volmer plots of the steady-state fluorescence intensity quenching results. With both KI and acrylamide the collisional quenching of the intrinsic fluorescence has been separated in two lifetime-specific bimolecular quenching rates, k q ( 2 ) and k q ( 3 ). In Table II are presented the calculated collisional quenching constants. The shortest decay component was not noticeably quenched by either KI or acrylamide, and these data are not reported.
It is shown that a k q ( 2 ) twice as higher as k q ( 3 ) has been measured with both the quenchers, suggesting that the medium lifetime is associated with a more exposed fluorophore than the longer lifetime. In addition, in Table II are reported the fluorescence intensity specific quenching constant/species, K SV (i), the average lifetime Stern-Volmer constant, K SV ( m ), calculated for the collisional process, and the steady-state constant, K SV (ss), obtained from the linear regression of the steady-state fluorescence intensity quenching data presented in Fig. 6 (left panel). It can be seen that K SV ( 2 ) is higher than K SV ( 3 ) and that K SV ( m ) is significantly lower than K SV (ss). The latter result and the appearance of an upward curvature of the steady-state Stern-Volmer plot obtained with acrylamide suggest the existence of a static quenching contribution. In fact, a notable blue-shift of the emission spectrum has been revealed at high quencher concentrations. According to the resolved DAS, this feature implies that the overall quenching (static and collisional) of the 3 species is higher than that of the 2 species. Since resolution of the collisional process (lifetime quenching measurements) have provided K SV ( 3 ) Ͻ K SV ( 2 ), it follows that the effect observed originates from a specific static quenching of the 3 species. To substantiate this conclusion, the DAS obtained at 0.23 M KI are presented in Fig. 7. In the upper right inset of the figure are shown the normalized steady-state emission spectra recorded in the absence and the presence of 0.23 M KI. In comparison with the DAS presented in Fig. 5A, a decrease of the relative contribution of the longer lifetime DAS is apparent, which is strongly consistent with the shift from 336 to 334 nm of the steady-state emission spectrum.
Time-resolved Fluorescence Anisotropy-The decay of the fluorescence anisotropy of p13 suc1 has been measured to define its rotational hydrodynamic properties. Measurements were performed at multiple experimental temperatures, and the data collected were then analyzed both separately (a single temperature experiment at the time) and simultaneously (all the temperature experiments in a single global analysis run). In the latter case, 2 terms were linked across the entire temperature range and the relative /T solvent viscosity correction factors were introduced in the analysis model. Fig. 8 shows the fluorescence anisotropy decay profiles (which are convolved with the exciting light pulse) of p13 suc1 in buffer at 21°C and in the presence of 4.0 M GdnHCl. The parameters recovered are reported in Table III. Two correlation times were required to describe accurately the decay of the emission anisotropy of native p13 suc1 . A fast correlation time, 1 Ͻ1 ns, can be associated with the rapid flexibility of the indole ring, and it reports the dynamics of the microenvironment surrounding the tryptophan residues. On the other hand, the long correlation time, 2 ϭ 9 -15 ns, can be associated with the rotational diffusion of the protein as a whole, and it reports the hydrodynamic properties of p13 suc1 . The plot of the correlation times as a function of the solvent viscosity and temperature is presented in Fig. 9. In the figure it is shown that, within the experimental error, the long correlation time is purely dependent on the solvent viscosity, with no evidence of changes of the molecular shape or dimension of p13 suc1 (i.e. self-association) as function of the experimental temperature. In addition, the absence of significant changes of the short correlation time support its assignment to the dynamics of the indole ring, which is scarcely affected in this temperature range.
From the long correlation times recovered at each temperature and using the Stokes-Einstein relationship, nearly related Stokes radii have been obtained for p13 suc1 . The values presented in Table III provide an apparent mean Stokes radius of 21.2 Å. This result is in excellent agreement with the radius recently obtained for p13 suc1 monomer (21.2 Å) using smallangle x-ray scattering (Birck et al., 1995).

TABLE I Time-resolved fluorescence intensity parameters of p13 suc1 recovered under native and denaturing conditions
Experiments were carried out in 50 mM Tris-HCl, pH 8.0, 2 mM EDTA, at 20°C (native), at 56°C, and in the presence of 4.0 M GdnHCl (denatured). The excitation wavelength was 295 nm, and fluorescence decay curves were collected at three emission wavelengths (325, 335, and 345 nm for native at 20 and 56°C; 345, 355, and 365 nm for denatured). The data were simultaneously analyzed by global analysis; the reported amplitudes refer to the decay observed at 335 nm (native and 56°C) and 355 nm (denatured). The reported 2 are the global reduced. a The lower and the upper bound values refer to the joint-confidence interval calculated for a confidence-level probability of 68% (Johnson, 1983).

FIG. 4. Lifetimes amplitudes as a function of denaturant concentration.
Relationship between the pre-exponential terms (f, ␣ 1 ; Ç, ␣ 2 ; å, ␣ 3 ) recovered from the analysis of p13 suc1 fluorescence decay data obtained at increasing GdnHCl (0 -4 M) concentrations. The experimental conditions were the same of Fig. 3. On the separated vertical right axis individual symbols indicate the results obtained after removal of the denaturant.
In Table III the results of the analysis of the anisotropy decay of p13 suc1 in the presence of 4.0 M GdnHCl and 1 mM zinc acetate are also shown. Under denaturing conditions the fluorescence anisotropy transient is reduced to a rapid single exponential decay (Fig. 8) as expected for an unfolded protein.
More important, the changes of the anisotropy decay parameters obtained in the presence of zinc ions are compatible with a change of the molecular size of p13 suc1 . In particular, the increase of the short correlation time, from the subnanosecond range to 5 ns, together with the long correlation time recovered, 14 ns, are consistent with a reorientational dynamics, which reflects rotations along the short and the long symmetry axis of a larger molecular species (i.e. p13 suc1 homodimer). However, because of the typical / ratio of the intrinsic emission of proteins, the precision and the accuracy of the data was not adequate to fully characterize the zinc-induced oligomerization transitions. In this regard, extrinsic fluorescence represents the best tool. Extrinsically labeled p13 suc1 conjugates have been prepared and the results obtained to define the effect of zinc on protein oligomerization will be published elsewhere.

DISCUSSION
The biochemical dissection of complex biological processes is of great value for the comprehension of their significance in vivo. S. pombe p13 suc1 , as well as its human homologous p9 CKShs1 , is the product of an essential gene in the regulation of eukaryotes cell cycle. Molecular biology techniques have allowed purification of p13 suc1 in sufficient amount to perform physical and biochemical studies. In fact, preparation of p13 suc1 crystals has been recently obtained, and the protein structure has been solved to 2.7-Å resolution (Endicott et al., 1995). Interestingly, these authors have found p13 suc1 to crystallize as a dimer in the presence of zinc and the potential role, in vivo, of this property has been reasonably addressed. Moreover, in a preceding report (Dunphy et al., 1988) it was noticed that treatment at 100°C had no effect on the inhibitory activity of p13 suc1 to antagonize mitotic conversion. Thus, it was concluded that p13 suc1 is a thermostable protein.
To define the actual biological relevance of structure/function relationships, solution studies with the isolated protein add crucial information to the data collected in the crystal state and in cultured cells. In this respect, the multidimensional character of fluorescence techniques provide adequate sensitivity and an ideal ensemble of different experimental approaches. The present work was aimed to obtain structural information on p13 suc1 by fluorescence spectroscopy methods and to provide useful "markers" for biological assays.
In solution, the secondary structure composition of the native protein obtained from the analysis of the CD spectrum is compatible with a compact globular conformation, in substantial agreement with the crystal structure described by Endicott et al. (1995). Interestingly, even harsh temperature treatment does not seem to affect the aromatic residues environment.
The intrinsic fluorescence of the protein is dominated by the emission of the tryptophan residues (Trp-71 and Trp-82). The position of the maximal fluorescence intensity suggests a poor interaction of these residues with the surrounding solvent. Indeed, the red-shift observed upon full denaturation by 4.0 M GdnHCl is consistent with their exposure at the water-toprotein interface. Yet, with unfolding a severe decrease of the fluorescence intensity is detected. These changes of the intrinsic fluorescence of p13 suc1 reproduce well known motifs in the study of unfolding transitions in proteins (Benfenati et al., 1990;Eftink, 1994). In particular, they suggest that the native conformational arrangement of Trp-71 and Trp-82 is disrupted by guanidinium denaturation.
Interestingly, the same fluorescence changes are not present with p13 suc1 at 56°C. Actually, the lower quenching observed arises predominantly from the collisional temperature effect and is obtained in the absence of any significant shift of the emission spectrum. Thus, our data provide evidence for a thermostable protein core that may be related to the thermostable inhibitory activity of p13 suc1 described by Dunphy et al. (1988). In fact, it is suggested that the tryptophan residues are part of this domain and may be involved with this function of p13 suc1 .
While steady-state fluorescence measurements can provide an intensity and time-averaged description of the fluorophore environment, nanosecond time-resolved fluorescence spectroscopy is the tool of choice to monitor relevant biological events occurring in this time domain.
The transition from the native state, N, to the unfolded state, U, has been further investigated by time-resolved techniques. While the exponential mode of the fluorescence decay of p13 suc1 is not changed upon denaturation, and three decay constants are required to obtain the best fit in both the states N and U (Table I), the evaluation of the relative contributions of each lifetime to the total emitted fluorescence reveals, in fact, sig-nificant changes (Fig. 4). In particular, with the transition from the state N to the state U, the weight to the total fluorescence intensity of the short lifetime increases, whereas the weight of the long lifetime decreases significantly. Altogether the results presented demonstrate the ability of the fluorescence kinetic parameters to monitor changes of the structural state of p13 suc1 . In particular, it is shown that the significant increase of the short lifetime amplitude (␣ 1 ), concomitant with the decrease of the long lifetime amplitude (␣ 3 ), is a reliable "marker" of the protein unfolding.
Our data are in excellent agreement with the intensity decays behavior versus denaturant concentration examined by Eftink (1994) with staphylococcal nuclease A and indicate that the pre-exponentials associated with the i values can be related to the fraction of molecules in the native and unfolded states. In a similar study on toxins, Dahms and Szabo (1995) have correlated the shift in the relative contribution of each fluorescence decay time to the disappearance of the ␤-sheet secondary structural features. They have used fluorescence to

TABLE II
Time-resolved bimolecular quenching rates, k q (i), and fluorescence intensity quenching constants, K SV (i), of the intrinsic fluorescence of p13 suc1 k q ( i ) are expressed as ϫ 10 Ϫ9 s Ϫ1 M Ϫ1 ; K SV (j) are expressed as M Ϫ1 . k q ( 2 ) and k q ( 3 ) indicate the collisional quenching rate constants of 2 and 3 , respectively; k q ( m ) indicates the collisional quenching rate constant obtained from the Stern-Volmer plot of the intensity-weighted mean lifetime, m , of the intrinsic fluorescence decay of p13 suc1 . The intensity-weighted lifetime ( m ϭ 4.85 ns) was calculated at 335 nm as, The specific collisional quenching constant/species, K SV ( i ), the overall collisional quenching constant, K SV ( m ), and the steady-state fluorescence intensity quenching constant, K SV (ss) were obtained from the relationship (K SV ϭ k q ⅐ 0 ). probe local secondary structure in peptides. With larger proteins such as p13 suc1 a quantitative estimation of the changes of the secondary structure with denaturation is not straightforward even by dynamic fluorescence spectroscopy. Nonetheless, very useful qualitative information on the protein structure can be obtained. For example, using this approach we have found that unfolding is triggered by a guanidinium concentration as low as 0.5-1.0 M, is apparently completed at 4.0 M, and is mostly reversible by removal of the denaturant (Fig. 4). More important, the same analysis performed on a sample of p13 suc1 incubated at 100°C (data not shown) has revealed no inversion of the pre-exponential terms (␣ 1 and ␣ 3 ), confirming the steadystate data and the apparent stability of the tryptophan environment to high temperature. Although the advantages and the disadvantages of distributed versus discrete decay analyses in understanding proteins fluorescence have been properly addressed elsewhere (Harris and Hudson, 1990;Royer et al., 1990;Knutson, 1992); here, because of the apparent physical significance of the analyses of the fluorescence decay of p13 suc1 as a sum of exponentials, this method has been used to further investigate the protein structure.
Based on the evidence that even single tryptophan containing proteins show multiexponential decay kinetics , attempts have been made to correlate lifetime components with the existence of rotamer populations (Szabo and Rayner, 1980), their distribution and their stability in the excited state. According to this representation, multiexponential decays can be explained in terms of the existence of different ground-state conformers/rotamers of the protein, each with different fluorescence lifetimes. In alternative, a more direct model has been successfully tested by Brand and coworkers on horse liver alcohol dehydrogenase (Ross 1981;Knutson et al., 1982), a typical protein with two tryptophans, which exhibits a double exponential decay. In this case, the association of lifetimes with specific quenching constants and the results of energy transfer studies have been used to assign each decay constant to a single tryptophan residue.
In general, the benefit of association and overdetermination techniques developed for time resolved data (Knutson et al., 1982(Knutson et al., , 1983Lakowicz, 1992) to discriminate between diverse physical models is widely recognized.
In this work, the three lifetimes of p13 suc1 have been associated with distinct emission spectral distributions (DAS) (Fig.  5A). In addition, the two major spectra (DAS-2 and DAS-3 ), which represent 96% of the total emitted fluorescence, have their origin from apparently different excitation spectra (EDAS) (Fig. 5B). Based on these findings the more realistic explanation of the multi-exponential decay of p13 suc1 is a simple two-compartment heterogeneity model. Finally, it has been shown that different DASs are recovered in 4.0 M GdnHCl. Assuming that the two tryptophan residues still experience different environments under denaturing conditions, this result may further validate the above description.
Quenching experiments have provided useful information. The overall quenching of the intrinsic fluorescence of p13 suc1 has been separated into a collisional and a static contribution. From the different approaches used (time-resolved and steadystate quenching measurements, steady-state emission spectra, and DAS resolution at high [Q]), it appears that the two mechanisms can be associated to different lifetime species. In particular, two decay intensity components with characteristic diffusional accessibility have been resolved. The component associated with 2 is twice as much accessible as the component associated with 3 , k q ( 2 ) Ͼ Ͼ k q ( 3 ), (Fig. 6, Table II). The resolution of this feature of p13 suc1 fluorescence emission is pertinent for two reasons. First, the association of a physical property (accessibility) with a fluorescence decay parameter FIG. 9. Rotational correlation times of native p13 suc1 as a function of temperature. The same data reported in Table III are plotted with respect to /T. The filled circle symbols indicate the long correlation time ( 2 ) and the open circle symbols indicate the short correlation time ( 1 ). The open diamond symbols indicate the correlation times as recovered by the global analysis, where the 2 parameter was linked over the entire decay data surface obtained as a function of temperature; O, linear fits correspond to the global analysis results. The fit of the linked 2 versus /T (linear correlation coefficient r ϭ 1) is displayed for purpose of linearity evaluation. (The viscosity of water was taken from CRC Handbook of Chemistry and Physics, 70th Ed., CRC Press, Boca Raton, FL.)

TABLE III
Time-resolved anisotropy and hydrodynamics parameters of the of p13 suc1 p13 suc1 (0.5 mg/ml) was dissolved in 50 mM Tris-HCl, pH 8.0, 2 mM EDTA. The Stokes radius was calculated according to the Einstein-Stokes equation ( ϭ V/kT) assuming that the globular protein approximates a spherical symmetry. The reported parameters were recovered from the separate analysis of the polarized fluorescence decays obtained at a single experimental temperature using the vector method (see "Materials and Methods"); typical 2 ranged from 1.1 to 1.3. The values of 2 recovered from a global analysis are indicated in parentheses, where all the decay data collected as a function of temperature were simultaneously analyzed with linking the long correlation times and introducing /T correction factors. The global not reduced 2 was 1.62. The fluorescence intensity decay parameters recovered from the global analysis of the data set collected at 21°C (native) were: ␣ 1 ϭ 0.21, 1 ϭ 0.21 ns; ␣ 2 ϭ 0.41, 2 ϭ 2.74 ns; ␣ 3 ϭ 0.38, 3 ϭ 5.93 ns. (lifetime) is strongly consistent with the existence of distinct ground-state species that retain distinct excited-state signature. Second, it provides support to the one-to-one assignment of lifetimes and tryptophan residues. The importance of local charges in "tunnelling" ionic quenchers to preferential sites of proteins has been first inferred by Lehrer (Lehrer, 1971) measuring the iodide quenching constants for poly(Lys 97 -Trp 3 ) and poly(Glu 99 -Trp 1 ) at neutral pH. In the p13 suc1 , Trp-82 is part of the positively charged cluster revealed by the crystal structure (Endicott, 1995), and the higher accessibility of 2 has been probed using the negatively charged I Ϫ ions. In addition, a strong static contribution has been shown to affect preferentially the 3 species. Thus, based on these evidences, with p13 suc1 it appears reasonable to associate Trp-82 with 2 and Trp-71 with 3 ; where Trp-82 is preferentially quenched by a collisional mechanism, whereas Trp-71 is significantly quenched by a static mechanism.
In view of this model, the unfolding data discussed above can be explained in terms of a conformational transition that is more effective on the structural environment of Trp-71 than on the environment of the "exposed" Trp-82. Accordingly, the very short lifetime, 1 , could be assign to a quenched rotamer of Trp-71 whose concentration is very small in the native state and increases significantly in the unfolded state.
It is important to notice that time resolution of the intrinsic fluorescence intensity of p13 suc1 and the proposed lifetime tryptophan assignment provide a useful marker to probe the functional role of a striking surface feature of p13 suc1 monomer, namely the cluster of positively charged residues surrounding Trp-82.
The fluorescence anisotropy decay parameters represent a more direct measure of the overall tertiary and quaternary structure of proteins than do the fluorescence intensity decay parameters. In fact, they report the dynamics of local and global rotational movements of proteins and can provide a close estimate of their shape and size. Here the technique has been used to determine the dimension of native p13 suc1 in solution and to examine the potential ability of its subunits to associate into dimers or higher oligomeric forms.
The distribution of conserved side chains on the surface of p13 suc1 provides an "hydrophobic patch" that has been indicated as a notable candidate for a site of protein-protein interaction (Endicott, 1995). Thus, experiments have been carried out in a range of different temperatures (6 -25°C) to search evidences for hydrophobic bonding between p13 suc1 subunits.
With the native protein two correlation times have been recovered from the analysis of the anisotropy decay data (Table  III). A very rapidly relaxing component, 1 (Ͻ1.0 ns), can be ascribed to subnanosecond torsional vibrations of the indole ring or other local dynamic events of the emitting residues. These processes cause a very fast depolarization and are not appreciably influenced by solvent viscosity (Fig. 9). Conversely, a longer lasting relaxation component in the anisotropy decay of p13 suc1 , 2 (Ͼ9 ns), corresponds to the frictional diffusion of the rotating particle. Accordingly, this process is dependent on solvent viscosity (Fig. 9). The change from a double to a single ( ϭ 0.3 ns) exponential anisotropy decay observed upon denaturation further supports the assignment of the long correlation time to the rotational movements of the whole protein. The correlation time of 9.4 ns, at 21°C, recovered by the global analysis of the anisotropy decay data is longer than that expected for an anhydrous 13 kDa globular protein (ϳ5 ns). Nonetheless, this a very common observation in polarization studies of proteins (Lakowicz, 1983). The discrepancy has been accounted for by the hydration of the protein, which yields a much larger rotating particle, and by the shape of the protein, which might deviate from the spherical symmetry (i.e. prolate ellipsoid). Moreover, the Stokes radius of 21.2 Å obtained with p13 suc1 by fluorescence techniques is in striking agreement with the result obtained with p13 suc1 monomer by scattering techniques (Birck et al., 1995). These results together with the biochemical information obtained with the purification procedure (gel filtration on Sephacryl S-100 HR and pI) indicate that p13 suc1 in buffer solution exists as a monomer with an elongated shape.
The power and sensitivity of anisotropy decay analysis to investigate protein-protein association at the nanomolar-micromolar concentrations have been described in preceding reports Neyroz et al., 1987). In Table  III and in Fig. 9 other important information is presented, the shape and the dimension of p13 suc1 do not change with increasing the temperature and solvent viscosity. Both the results obtained by the "single temperature experiment" and by the "global temperature experiments" analysis reveal that the recovered 2 values are purely function of the fluid viscosity. The plot of 2 versus /T is linear, and the calculated Stokes-radius is constant within the experimental error. Thus, in the evaluated range of temperatures, there is no evidence for major conformational changes of the protein driven by hydrophobic forces (i.e. subunit self-association).
Finally, the intrinsic anisotropy decay of p13 suc1 has been measured in the presence of zinc. Given the limitations implicit in the method used, our data are consistent with the original observation of Endicott et al. (1995), which found p13 suc1 to crystallize as a dimer in the presence of 1 mM zinc. Extrinsic fluorescence studies with longer decaying fluorescent probes will be crucial to define this potential and intriguing structure/ function relationship of p13 suc1 .
In summary, the results obtained by steady-state and timeresolved fluorescence techniques on p13 suc1 have revealed significant structural information. Future studies should provide further insight into the physical nature of its fluorescence properties, into specific structural changes that occur during self-association or protein-protein interaction, into the effect of pH, ionic strength, and specific ions (i.e. zinc) on its conformation, and into the functional role of the p13 suc1 -p34 cdc2 interaction.