ARTICLE IN PRESS Radiation Physics and Chemistry 75 (2006) 359–368 www.elsevier.com/locate/radphyschem Quantification of RNA in bacteriophage MS2-like viruses in solution by small-angle X-ray scattering Deborah A. Kuzmanovica,1, Ilya Elashvilib,2, Charles Wickb, Catherine O’Connella,3, Susan Kruegerc, a Biotechnology Division, NIST, 100 Bureau Drive, Stop 8311, Gaithersburg, MD 20899-8311, USA Edgewood Chemical Biological Center; 5183 Blackhawk Rd., Aberdeen Proving Ground, MD 21010, USA c NIST Center for Neutron Research, NIST, 100 Bureau Drive, Stop 8562, Gaithersburg, MD 20899-8562, USA b Received 13 September 2005; accepted 21 November 2005 Abstract Recombinant forms of bacteriophage MS2 virus particles, wild-type MS2 and MS2 capsids have been examined in solution using small-angle X-ray scattering (SAXS). SAXS was used to determine the overall size of the virus particles and to quantify the amount of encapsulated viral RNA. These studies show that analysis of natural and recombinant forms of MS2 virus by SAXS can be used as both a quantitative measure of nucleic acid content in situ and diagnostic indicator of sample integrity. r 2005 Elsevier Ltd. All rights reserved. Keywords: Bacteriophage MS2; RNA quantification; MS2 capsid; Small-angle X-ray scattering 1. Introduction Bacteriophage MS2 is an enteric virus of Escherichia coli. The infective virion contains a 3690 nt singlestranded RNA molecule surrounded by a icosahedral coat comprised of 90 coat protein dimers and a single copy of the A (or maturation) protein. The completely sequenced MS2 genome encodes for four proteins, the coat protein (M r ¼ 13; 700), A protein (M r ¼ 44; 000), Corresponding author. Tel.: +1 301 975 6734; fax: +1 301 921 9847. E-mail address: [email protected] (S. Krueger). 1 Present Address: Geo-Centers, Inc., Gunpowder Branch, P.O. Box 68, Aberdeen Proving Ground, MD 21010, USA. 2 Present Address: Chem/Bio Technology Transition Division, Defense Threat Reduction Agency, 8725 John. J. Kingman Rd., Ft. Belvoir, VA 22060, USA. 3 Present Address: Tetracore, Inc., 11 Firstfield Rd., Suite C, Gaithersburg, MD 20878, USA. replicase (M r ¼ 60; 700) and a 75 amino acid lyticase protein (Atkins et al., 1979; Beremand and Blumenthal, 1979; Fiers et al., 1976, 1975; Min Jou et al., 1972). Whereas the coat and A proteins serve as structural components of the virus shell, the replicase and lyticase are needed for replication of the viral genome and lysis of the bacteria cell, respectively (Atkins et al., 1979; Beremand and Blumenthal, 1979; Fiers et al., 1976). The MS2 RNA also contains a 19 nt transcriptional operator site. Binding of coat protein dimers to this site links translation of the genomic RNA to the activation of virus protein shell assembly (Stockley et al., 1994). The potential for intrastrand base-pairing within MS2 RNA predicts a complex pattern of folding that includes several stem-loop structures (Fiers et al., 1976). Biochemical and genetic analysis have confirmed that these stem-loop structures act as binding sites for the coat protein dimers in vitro and in vivo. Furthermore, cryoEM has revealed that specific structural elements of the 0969-806X/$ - see front matter r 2005 Elsevier Ltd. All rights reserved. doi:10.1016/j.radphyschem.2005.11.005 ARTICLE IN PRESS 360 D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 virion attach to the inner surface of the virus protein shell in an organized network (Konig et al., 2003). This association between the RNA and coat protein dimers is presumed to be mediated by the stem-loop motifs. However, the functional significance of the RNA network remains obscure. Our group has previously used small-angle neutron scattering (SANS) to characterize the RNA core. This analysis has revealed that the genomic RNA in wild-type MS2 exists as a tightly packed ball, which is confined to a radius of 83 Å. This indicates that the majority of the viral core is RNA-free with approximately 70% of the virus core composed of solvent (Kuzmanovic et al., 2003). In general, small-angle X-ray scattering (SAXS) is a process where X-rays are passed through the sample in solution and the resulting scattering pattern is used to determine the average size and shape of the sample in solution (Koch et al., 2003). For simple protein molecules or large complexes, SAXS has revealed structural information about a variety of processes including protein folding dynamics, molecular weight determination and oligomerization state (Trewhella et al., 1998). Additionally, SAXS is used to complement cryo-electron microscopy and crystallography studies by providing solution structure data (Graille et al., 2005; Olah et al., 1995; Thuman-Commike et al., 1999). In the case of complex macromolecular structures like viruses that contain both nucleic acid and protein components, the nucleic acids are uniquely resolved by SAXS due to the fact that X-rays interact more strongly with nucleic acids than with proteins. Specifically, the phosphate groups of RNA (or DNA) scatter much more intensely than other atoms found in proteins, RNA and DNA. This is due, principally, to the fact that the X-ray scattering length density (SLD) of an atom, which is a measure of its ability to scatter X-rays, increases with atomic number. Thus, the X-ray scattering intensity, which is a function of the SLD squared, is stronger for materials of higher atomic number. Since phosphate has the highest atomic number of all of the atoms known to be found in protein–DNA- or RNA-containing biomolecular molecules, SAXS may be used to provide unique insight into the physical characteristics of RNA or DNA in complex biological systems. Although, in theory, SAXS has been predicted to be an accurate quantitative method for the quantification of RNA or DNA, in practice its feasibility has not been demonstrated (Jacrot and Zaccai, 1981; Koch et al., 2003). The most sensitive method for the quantification of RNA in solution is generally thought to be by use of the real time reverse transcription polymerase chain reaction, generally called RT-PCR (Bustin, 2000; Bustin et al., 2005). In these experiments, by use of an enzyme the target RNA in the sample is converted to fluorescently labeled DNA reporter molecules, which are amplified and quantified in a single step. Detection and quantification of the target RNA can be either semiquantitative (by addition of a competitive target RNA of known concentration) or quantitative (by use of an internal standard RNA); under the best possible conditions the uncertainty is estimated to be 10% (Bustin, 2000). However, routinely the uncertainty is much greater for a variety of reasons which range from error due to sample preparation, pipeting, competition between the target and competitive inhibitor or the uncertainty of the concentration of the internal standard or errors related to the use of the fluorescent probes. For an excellent review see Bustin (2000). Traditionally, nucleic acids (RNA and DNA) have been quantified by use of optical density techniques or absorbance using conventional spectrophotometry (Sambrook and Russell, 2001). This method is only useful for samples, which are free from contamination by proteins, phenol, agarose or other nucleic acids. Since obtaining pure RNA samples is technically challenging because RNA is extremely sensitive to the action of nucleases in the environment, typically RNA quantification is assessed by PCR-based methods like the ones described above. Both optical density and PCR-based methods rely on the analysis of naked RNA in solution. In this study, we use SAXS to measure the physical characteristics of viral RNA in its native environment, while it is still encapsulated in its virus coat. The advantage of being able to make such measurements is that there is no uncertainty related to the purification of the RNA, the addition and activity of enzymes or the need for internal quantification standards. Specifically, we have examined two MS2-like virus particles which have been genetically engineered to contain varying amounts of RNA (MS2HCV and MS2-l) but lack the A protein (Walkerpeach et al., 1999) (Ambion Diagnostics, personal communication). SAXS was used to compare these samples to RNA-free MS2 capsids (MS2-Capsid) that contain the A protein but lack RNA and the wild-type MS2 (WT MS2), which contains the A protein and normal RNA levels. These samples were also analyzed by SANS, as described in Kuzmanovic et al. (2003, in press), as part of a large series of experiments whose aim is to gain insight into the physical characteristics of MS2 virus components in solution under physiological conditions. 2. Materials and methods4 2.1. Bacteriophage, hosts, and medium MS2 bacteriophage strain 15597-B1 and its E. coli host 15597 were purchased from the American Type 4 Certain commercial materials, instruments, and equipment are identified in this manuscript in order to specify the ARTICLE IN PRESS D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 Culture Center (Manassas, Va.). E. coli strain 15597 was grown on MS2 broth. MS2 broth contains, per liter: 10 g tryptone, 8 g NaCl and 1 g Bacto-yeast. After autoclaving, 10 mL of sterile 10% glucose, 2 mL of 1 mol/L (M) CaCl2 and 10 mg/mL of thiamine hydrochloride were added per liter (Davis and Sinsheimer, 1963). WT MS2, MS2-HCV, MS2-l, and MS2Capsid were stored in Tris–salt–magnesium (TSM) buffer unless otherwise stated. TSM buffer contains 10 mM Tris (pH 7.0), 100 mM NaCl and 1 mM MgCl2. MS2 phage were grown and purified by ultracentrifugation as described in Kuzmanovic et al. (2003). MS2-HCV virus particles were produced from the E. coli expression vector pAR-HCV-2b, which contains a 412 nucleotide sequence from the 50 noncoding core region of HCV subtype 2b (Genbank Accession No. M62321) (Walkerpeach et al., 1999). MS2-l virus particles were produced from the E. coli expression vector pAR-l-1.0, which contains 908 nucleotides (1329 to 421) of l sequence (Genbank Accession No. M17233) (Ambion Diagnostics, personal communication). Both vectors were generous gifts from Ambion Diagnostics, Inc. (Austin, Texas) and were grown as described in DuBois et al. (1997) and purified by cesium gradient ultracentrifugation as described in Kuzmanovic et al. (2003). The measured density of the WT MS2 particles was 1.3870.01 g/cm3, which is the same density value reported by Strauss and Sinsheimer (1963). The corresponding measured densities for MS2-HCV and MS2-l from these studies were 1.3670.02 and 1.3770.01 g/cm3, respectively. 2.2. Capsid preparations RNA-free MS2 capsids were prepared using cesium chloride ultracentrifugation of purified WT MS2 virus as starting material. In general, WT MS2 viruses were disrupted and subjected to a series of precipitation steps to remove the RNA. The RNA-free material was then permitted to spontaneously assemble into RNA-free capsids (Ambion Diagnostics Inc., personal communication). These preparations were subjected to cesium chloride density ultracentrifugation and subsequent pellet resuspension in TSM as previously described (Kuzmanovic et al., 2003). A number of similar purification methods to produce MS2 capsids have been published by different groups (Mastico et al., 1993; Thomas and Prescott, 1976). (footnote continued) experimental procedure as completely as possible. In no case does such identification imply a recommendation or endorsement by the National Institute of Standards and Technology nor does it imply that the materials, instruments, or equipment identified are necessarily the best available for the purpose. 361 2.3. SDS/polyacrylamide gel electrophoresis SDS/polyacrylamide gel electrophoresis was performed according to the previously described method (Laemmli, 1970). Commercially available pre-cast 18% SDS polyacrylamide gels (Tris–Glycine gels) for the Novex gel apparatus system were purchased from Invitrogen (Carlsbad, CA) and used according to the manufacturer’s instructions. The Tris–Glycine SDS–PAGE running buffer and sample buffers were either purchased from Invitrogen (Carlsbad, CA) or made according to the manufacturer’s instructions. Before loading on gels, samples were diluted two-fold with 2 Tris–Glycine sample buffer and incubated at 85 1C for 2 min. Mark12TM Unstained Protein Standard (Invitrogen, Carlsbad, CA) was used according to manufacturer’s instructions for the molecular weight markers. Electrophoresis was carried out for 2–3 h at 30–40 mA/gel. The gels were stained in Brilliant Blue R solution (Sigma, St. Louis, MO) according to the manufacturer’s instructions and photographed as previously described (Maniatis et al., 1982). 2.4. SAXS measurements SAXS data were collected on the BioCAT undulator beamline 18-ID at the Advanced Photon Source, Argonne, IL. Samples were exposed to focused X-rays (12,00072 eV; 2 1013 photons/s) for approximately 1 s at a sample-to-detector distance of 2.78 m. Two-dimensional (2D) scattering patterns were obtained by using a 5 9-cm charge-coupled device (CCD) detector (Phillips et al., 2002). Samples were pumped through a 1.5 mm quartz capillary at 4 mL/s to minimize radiation damage (Fischetti et al., 2003). Measurements were repeated 5 times on each sample to verify that the scattering patterns did not change with repeated exposure to the Xrays. Scattered intensities, I(Q), were calculated from radial averaging of the 2D scattering profiles over the Q range from 0.005 to 0.193 Å1, with Q¼ 4p sinðyÞ , l (1) where l ¼ 1:03 Å is the X-ray wavelength and 2y is the scattering angle, using the routines in the FIT2D data analysis program (Hammersley, 1998), or using macros written by the APS staff for IGOR Pro (WaveMetrics, Inc., Lake Oswego, Oregon). Averaged scattered intensities from sample plus buffer and from buffer alone were scaled using incident flux values integrated over the exposure time. Scattered intensities from the MS2 virus samples alone were obtained by subtracting the average buffer intensities from the average buffer plus sample intensities. After buffer subtraction, further analysis of the scattered intensities from the MS2 virus samples was performed in the Q range 0.008–0.12 Å1. The SAXS ARTICLE IN PRESS D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 362 data were put on an absolute scale, in cm1, by comparing the scattered intensity of the wild-type MS2 sample at Q ¼ 0 to that calculated using the known Mw, SLD and volume of the RNA and coat protein components, as verified by earlier SANS studies (Kuzmanovic et al., 2003). 2.5. SAXS data analysis The low-Q portions of the data were analyzed using the Guinier approximation IðQÞ ¼ Ið0Þ expðQ2 R2g =3Þ to obtain initial values for the radius of gyration, Rg, and the forward scattering intensity, Ið0Þ, of the samples (Guinier and Fournet, 1955). This analysis is valid only in the region where QRg 1. The GNOM program (Semenyuk and Svergun, 1991), which makes use of all of the data, rather than a limited data set at small Q values, was used to determine the distance distribution function, P(r), the radius of gyration, Rg, the forward scattering intensity, I(0) and the maximum dimension, Dmax. Since all of the data are used, this approach typically leads to more accurate determinations of Rg and I(0) that are less influenced by possible aggregation effects. At the resolution level of the earlier SANS measurements, MS2 has been shown to be approximated very well by a spherical shell, with inner radius, R1, outer radius, R2, and shell thickness, t ¼ R2 R1 (Kuzmanovic et al., 2003). Thus, the SAXS data were also fit to a polydisperse core-shell sphere model (Hayter, 1983) in order to obtain the average thickness of the protein shell, t, and the average radius of the core, R1. In this model, polydispersity is depicted by assuming a Schulz distribution of the radii, R1 and R2. R2 is related to R1 by a constant factor. The polydispersity fitting parameter, p, is defined as p ¼ s=R2, where s2 is the variance of the Shultz distribution. The X-ray SLDs of the protein shell and the solvent were fixed during the fitting procedure. However, the SLD of the core, assumed to contain both RNA and solvent, was treated as an additional fitting parameter that allowed the amount of water, versus RNA, in the core to be calculated using the relation rCORE ¼ X rRNA þ ð1 X ÞrSOLVENT , 3. Results 3.1. A physical model of the shape of MS2 in solution The SAXS data for the four different MS2 samples are shown in Fig. 1. Fig. 1a shows that, in general, the scattered intensities from the MS2-Capsid, MS2-HCV and MS2-l samples appear similar as a function of Q. However, Fig. 1b shows that the scattered intensity from the WT MS2 sample is clearly different from that of MS2-Capsid, and thus different from MS2-HCV and MS2-l. Since the MS2-Capsid does not contain RNA, the scattered intensity is assumed to arise from the coat protein component only. Therefore, this analysis provides confirmation that, qualitatively, these specific MS2-HCV and MS2-l samples do not contain as much RNA as WT MS2. The amount of RNA in the virion cores, as well as its spatial distribution, can be quantified by comparing the SAXS data to that calculated for model (or idealized) shapes. Fig. 2 shows the SAXS data from the WT MS2 and MS2-Capsid samples, along with the core-shell model SAXS curves that best fit the data in each case. The corresponding core-shell model parameters, as well as those obtained from the fits to the MS2-HCV and MS2-l virus samples, are listed in Table 1. It can be seen from the SAXS results in Table 1 that the overall size (R2) of the virion for the MS2-Capsid and recombinant samples does not differ from that of wild-type MS2, considering that there are differences in polydispersity (or aggregation) between the WT MS2 and the other three samples. The effects of polydispersity on the SAXS measurements are described in detail below. Although the overall size of these samples is not significantly different, the core (or inner) radius (R1) values vary significantly between the MS2-Capsid, (2) where X is the mass fraction of RNA in the core, defined as X¼ M RNA , M RNA þ M solvent (3) where rCORE is the fitted SLD of the core portion of the core-shell model and rRNA and rSOLVENT are the known SLDs of the RNA and the solvent, respectively. Thus, if there is no RNA in the core, rCORE ¼ rSOLVENT . Fig. 1. SAXS I(Q) versus Q data from (a) MS2-l (+), MS2HCV (closed diamonds) and MS2-Capsid (open circles) samples and (b) WT-MS2 (closed squares) and MS2-Capsid (open circles) samples. The error bars are smaller than the data points for all curves. ARTICLE IN PRESS D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 MS2-HCV and MS2-l samples as compared to the wildtype MS2 virus. In these SAXS experiments, the core radius (R1) is a measure of the RNA radius in RNAcontaining particles. SAXS intensities are dominated by scattering from RNA, due to its high X-ray SLD, which is defined as the sum of the X-ray scattering lengths of all the atoms in the molecule divided by the total volume of the molecule. The X-ray scattering length of an atom is proportional to its number of electrons (atomic number). Because nucleic acids contain phosphates, which are higher in atomic number than the atoms typically found in proteins, i.e., carbon, hydrogen, nitrogen and oxygen, nucleic acids scatter X-rays more Fig. 2. SAXS data from WT MS2 (open squares) and MS2Capsid samples (+). The error bars are smaller than the data points for all curves. Typical best-fit core-shell model scattered intensities are also shown for WT MS2 (solid line) and MS2Capsid (dashed line) for comparison. 363 strongly than proteins. The X-ray SLD for the coat 2 protein was calculated to be r ¼ 12:3 106 Å , while 2 that of RNA was found to be r ¼ 16:4 106 Å (Orthaber et al., 2000). The X-ray SLD of the solvent, or 2 water, was found to be rs ¼ 9:4 106 Å (Orthaber et al., 2000). Thus, the contrast, or the difference between SLD values between solute and solvent is Dr ¼ 2:9 2 2 106 Å for the coat protein and Dr ¼ 7:0 106 Å for the RNA. Since the scattered intensity goes as contrast squared, SAXS is more sensitive to the RNA component than the coat protein component in the MS2 virion. The fitted R1 value for the core radius of WT MS2 is 8572 Å. This is in good agreement with the R1 value of 8471 Å obtained in our earlier SANS study from the core-shell model fit of the WT MS2 sample in 10% D2O (90% H2O) TSM buffer (Kuzmanovic et al., 2003). The SANS data obtained under these conditions, where the RNA contrast is greater than twice the protein contrast, are approximately equivalent to the SAXS data. Thus, both of these R1 values represent the radius of the RNA in the core of the virion and a direct comparison can be made between these two data sets, as is shown in Table 1. Note that the R1 value for the SANS data obtained in 100% D2O TSM buffer (Kuzmanovic et al., 2003) in Table 1 is not equivalent to the SAXS result, since the scattering from the RNA does not dominate the SANS intensity under these conditions. Table 1 also shows that the fitted R1 values from SAXS measurements of MS2-HCV, MS2-l and MS2-Capsid are 9472, 9673 and 9072 Å, respectively. This indicates that the RNA in these particles do not pack as tightly in the core of the viruses compared to the WT MS2, which has a radius of 8572 Å. Since the R1 value for the MS2Capsid is smaller than those of the recombinant virus particles, this would suggest that at least some of the MS2-Capsid particles contain an amount of RNA that is measurable by SAXS. Furthermore, the result suggests Table 1 Parameters from core-shell model fit to SAXS and SANS data R1 (Å) Sample R2 (Å) Polydispersity Reference a SAXS parameters WT MS2 MS2 Capsid MS2-HCV MS2-l SANS parameters WT MS210%D20 WT MS2100%D20 MS2 Capsid 100% D20 a 8572 9072 9472 9673 8471 11571 11571 RNA RNA RNA RNA 13472 13072 13072 13172 Outer Outer Outer Outer protein protein protein protein shell shell shell shell 0.01070.005 0.0470.01 0.0670.01 0.0670.01 This This This This study study study study RNA Inner protein shell Inner protein shell 13671 13672 13971 Outer protein shell Outer protein shell Outer protein shell 0.01070.005 0.01070.005 0.01070.005 Kuzmanovic et al., 2003 Kuzmanovic et al., 2003 Kuzmanovic et al., in press The SLD of the protein shell was fixed at 12.3 106 Å2 and that of the solvent was fixed at 9.4 106 Å2 during all SAXS fitting procedures. ARTICLE IN PRESS 364 D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 Table 2 Percentage of RNA and solvent in the core Sample Fitted core SLD %RNAb ( 106 Å2)a %Solventb WT MS2 MS2 Capsid MS2-HCV MS2-l 11.170.2 9.570.2 9.970.2 10.270.2 7372 9872 9272 8872 2772 272 872 1272 a The core SLD values were obtained from fits of the SAXS data to the core-shell model. The SLD of the protein shell was fixed at 12.3 106 Å2 and that of the solvent was fixed at 9.4 106 Å2 during the fitting procedures. b The SLD of RNA was assumed to be 16.4 106 Å2 and that of the solvent was assumed to be 9.4 106 Å2. that any residual RNA in the MS2-Capsid particles is packed more tightly in the core than the RNA contained in the recombinant particles. This would be expected, since, unlike the recombinant samples, the MS2-Capsid sample was made from a WT-MS2 sample. The amount of RNA in each of the SAXS samples can be quantified using Eqs. (2) and (3). The X-ray SLD of the core, obtained by fitting the SAXS data to the coreshell model is compared to the known SLD values of RNA and water. The calculated amounts of RNA in the core of all four MS2 samples are listed in Table 2, along with the fitted core SLD values from the core-shell model. Note that the 2% error comes from the statistical counting error in the SAXS intensities. Data of equally good statistics are being fit to the core-shell structure model and the percentage of RNA is calculated from our fitted SLD values. The error on this fitting parameter is equally good in all cases; so the statistical error does not vary with RNA density (or amount). The results confirm that the MS2-Capsid sample is virtually RNA-free, containing only 2%72% RNA. The MS2HCV sample contains 8%72% RNA in its core and MS2-l sample contains 12%72% RNA in its core. These values are in good agreement with the expected values of 0% RNA for the MS2-Capsid, 5% RNA for MS2-HCV, and 11% RNA for MS2-l (Walkerpeach et al., 1999) (Ambion Diagnostics, personal communication). On the other hand, WT MS2 contains 27%72% RNA in its core as measured by SAXS. This is in good agreement with the expected value of 33.5% as determined from the MS2 genomic sequence (Fiers et al., 1976), 31.2% RNA by dry weight (Strauss and Sinsheimer, 1963) and 33% RNA based on the known Mw of both the protein and RNA components by SANS (Kuzmanovic et al., 2003). A real space representation of the SAXS data can be obtained by indirect Fourier transform of I(Q) using GNOM program. The P(r) function is essentially a histogram of the distances between all possible pairs of Fig. 3. Distance distribution functions, P(r) versus r, for WTMS2 (closed squares), MS2-l (+), MS2-HCV (closed diamonds) and MS2-Capsid (open circles) samples. The error bars are smaller than the data points for all curves. Table 3 Parameters from distance distribution function determination Sample Rg (Å) I(0) (cm1) WT MS2 MS2 Capsid MS2-HCV MS2-l 106.570.5 115.070.5 113.570.5 112.070.5 2.670.1 0.5770.03 0.8170.04 1.370.1 points in the molecule and it indicates the probability that a certain distance between two pairs of points in the molecule will occur. For instance, the most probable distance in a spherically shaped particle is the radius. Since a sphere is symmetric, the P(r) function will be symmetric with a peak at the distance, r, which represents the radius. Fig. 3 shows the P(r) functions for the MS2 samples and Table 3 lists the parameters obtained from the P(r) analysis, namely the radius of gyration, Rg, of the scattering particle and the forward scattered intensity at zero angle, I(0). The radius of gyration, Rg, is a shape-independent geometric measurement of a particle that is defined as the root-mean square of the distances of all of the electrons of the particle from its center of electronic mass (Guinier, 1939; Guinier and Fournet, 1955). The Rg values seen in Table 3 are consistent with what would be expected from MS2 particles with differing amounts of RNA in the core. Since Rg is related to the moment of inertia of a particle about its center of mass, the Rg value for a hollow sphere is simply its radius. However, the Rg value for a solid sphere is smaller, at ARTICLE IN PRESS D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 pffiffiffiffiffiffiffiffi 3=5 Rg (Guinier and Fournet, 1955). Thus, it is expected that Rg would be the largest for the MS2Capsid sample, since its core contains the least amount of RNA, and the smallest for WT MS2, since its core contains the most RNA. The other two values would fall in between, with the Rg value for MS2-HCV being larger than that for MS2-l, since it has less RNA in its core than MS2-l. Table 3 shows that the Rg values do indeed follow this scenario. We note that the Rg of naked MS2 genomic RNA in solution has been shown to be 160 Å by classical light scattering (Strauss and Sinsheimer, 1963). This is in contrast to the Rg of 106.5 Å that we detect within the intact virus. The P(r) functions in Fig. 3 essentially show this result in graphical form. P(r) for the MS2-Capsid has a peak at the highest r value (190 Å) because there is virtually no RNA in the core. Thus, most of the mass lies in the coat protein shell and there is a very low probability that there are distances represented by two points in the interior of the particle. On the other hand, the P(r) function of WT MS2 has a peak at the lowest r value (140 Å) since it has the most RNA in its core. Thus, it is much more probable that there are distances represented by two points in the interior of the particle. The peaks in the P(r) functions of MS2-HCV and MS2l occur at r values between those of MS2-Capsid and WT MS2, since the amounts of RNA in their cores are between those of MS2-Capsid and WT MS2. 3.2. Sample quality In scattering experiments, molecular weight (Mw) determination often serves as a measure of sample quality. This is possible because when scattering data are obtained on an absolute scale then the Mw of the particle is proportional to the scattered intensity at zero angle, I(0), when the concentration of the particles is known (Jacrot and Zaccai, 1981). Analysis of the scattered intensity, I(Q), measured over a range of Q values yields the molecular weight, the degree of oligomerization (or polydispersity), the overall radius of gyration and the maximum dimensions of the macromolecule (Perkins, 1994)U The I(Q) versus Q data for both MS2-HCV and MS2-l in Fig. 1a show shallow secondary maxima which is an indication of polydispersity. The MS2 Capsid I(Q) versus Q data show sharper secondary maxima, indicating less polydispersity. However, Fig. 2 shows that the MS2-Capsid data do not fit the core-shell model well as Q approaches zero. Rather, I(Q) increases more sharply than the model curve as Q approaches zero, indicating some aggregation in the MS2-Capsid sample. The WT MS2 sample, in contrast, shows no signs of either aggregation or polydispersity, as indicated by the sharp secondary maxima in the I(Q) versus Q data, as seen in Fig. 1b, and the good fit of the core-shell model to I(Q) as Q approaches zero, as seen in Fig. 2. 365 It was shown in Kuzmanovic et al. (2003) that, while polydispersity and aggregation both can have large affects on the fitted I(0) value, resulting in large errors in the Mw determinations, they have little influence on the best fit values of the core-shell model parameters, R1 and t ¼ R2 R1, which are measures of the overall shape of the particles, and the core SLD, which is a measure of the amount of RNA in the core of the particles. Although the polydispersity prevents a determination of Mw for the MS2-Capsid, MS2-HCV and MS2-l samples, the polydispersity does not affect the measurement of the overall physical dimensions of these particles that are described by the fitted parameters of the core-shell model. The fact that the SAXS fitted coreshell model parameters agree well with those obtained in previous SANS studies (in the case of WT MS2) and with the expected amount of RNA in each sample is an indication that these samples produced sufficiently good data to obtain these parameters reliably. The level of polydispersity clearly reduces the observed measurement of the overall size (R2) of the recombinant and MS2Capsid samples as compared to WT MS2 sample, as shown in Table 1. In general, the recombinant samples (MS2-HCV and MS2-l) and MS2-Capsid contain polydispersity or aggregation compared to the WT MS2 sample. Polydispersity can be caused by a number of different factors such as sample contamination, radiation damage due to exposure to high-energy X-rays, or sample degradation (Lindner and Glatter, 2000). Fig. 4 shows a SDS–PAGE gel of the MS2-HCV and MS2-l samples used in this study. There are no detectable contaminating proteins in these samples or in the WT MS2 and MS2-Capsid Fig. 4. SDS–PAGE gel of the MS2-HCV and MS2-l samples used in this study. Lanes 1, 2, and 3 contain the molecular weight sizing marker, MS2-HCV and MS2-l samples, respectively. ARTICLE IN PRESS 366 D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 samples analyzed from stocks prepared for SANS analysis (Kuzmanovic et al., 2003, in press). Therefore, contamination is an unlikely cause of the polydispersity described here. These samples were part of a large batch prepared for a series of experiments using both SAXS and SANS. Due to beamtime availability, the samples prepared for SANS were made fresh and measured within 24 h while the SAXS samples described here were analyzed several months later. A comparison of the SAXS and SANS results (Table 1) indicates that there is little or no polydispersity in the WT MS2 samples, independent of the time elapsed from sample preparation to measurement. However, the MS2-Capsid sample seems to have become more polydisperse during the several month waiting period prior to the SAXS measurements. A similar level of polydispersity was also found in both the MS2-HCV and MS2-l samples. 4. Discussion Due to the high-intensity X-rays now available at synchrotron sources, SAXS is often used to study kinetic processes such as the maturation of the Nudaurelia capenses o virus, the folding of tobacco mosaic virus RNA or Tetrahymena ribozyme and the enzyme– substrate interactions of phenylalanyl-tRNA synthetase with tRNAphe (Canady et al., 2001; Muroga et al., 1999; Russell et al., 2000; Tuzikov et al., 1988). This study takes advantage of the fact that SAXS can provide general structural information about a virus protein shell as well as unique resolution of the nucleic acid component of virus protein–nucleic acid complexes. These properties of SAXS have permitted a detailed and quantitative analysis of the RNA content, structure and spatial distribution of the RNA in recombinant and wild-type forms of bacteriophage MS2 and its RNA-free capsid. Using SAXS, the quantity of RNA inside of the virus particles was measured. The MS2-Capsid samples were found to be essentially RNA free with a RNA content of 2%72%. The MS2-HCV and MS2-l and WT MS2 contained 8%72%, 12%72%, and 27%7 2% of RNA, respectively. These results are in good agreement with the minimum amount of RNA expected based on the sequence contained on the expression vectors that were used to generate these recombinant particles (Walkerpeach et al., 1999) and on the published sequence information for the WT MS2 virus (Fiers et al., 1976). Also, it is remarkable that the SAXS measurements are sensitive to the relatively small amounts of RNA in the recombinant MS2 particles. It was expected that the amount of RNA in the WT MS2 core (30%) would be detectable, since the contrast difference between the protein shell and the RNA core in a SAXS experiment is similar to that in a SANS experiment performed on WT MS2 in 10% D2O (90% H2O) TSM buffer (Kuzmanovic et al., 2003). However, it is clear from our results that the SAXS technique is sensitive enough to detect significantly smaller amounts of RNA in the virus core. In fact, the fitted X-ray SLD of the MS2 core is sensitive to the amount of RNA in the core to within 2%. This would suggest that as little as 2–4% RNA in the virus core is detectable using SAXS. Table 1 shows that this is true, since the fitted R1 value for the MS2-Capsid is 9072 Å. This compares with a value of 11571 Å for MS2-Capsid measured in 100% D2O TSM buffer by SANS (Kuzmanovic et al., in press), where the neutron SLD for the protein shell is much larger than that of the RNA core. Thus, a small amount of RNA like that in the MS2-Capsid core would not be detectable in the 100% D2O SANS data. Moreover, Table 1 shows that even 30% RNA in the core of the WT MS2 sample is not detectable by SANS in 100% D2O TSM buffer, since R1 ¼ 115 1 Å in this case as well (Kuzmanovic et al., 2003). The WT MS2 genomic RNA has been shown to be tightly packed within the MS2 virus core with a radius of 8472 Å by SANS (Kuzmanovic et al., 2003). The corresponding value for WT MS2, as determined in this SAXS study, is 8572 Å. In addition, an individual MS2Capsid particle may contain up to 4% RNA in the core, and this RNA is packed into a core radius only slightly larger than that for the WT MS2 particles. On the other hand, the radii of the RNA cores contained in the recombinant MS2-HCV and MS2-l virus particles are 9472 and 9672 Å, respectively. This indicates that the RNA in the MS2-HCV and MS2-l particles is not packed as tightly in the core of the recombinant viruses as compared to the WT MS2. A number of factors may be responsible for the loosely packed RNA seen in the recombinant virus particles. The MS2-HCV and MS2-l particles, unlike the WT MS2 and MS2-Capsid particles, contain no A (or maturation) protein. The A protein has been shown to be necessary for RNA packing on the basis of genetic and sedimentation gradient experiments (Argetsinger and Gussin, 1966; Heisenberg, 1966). Another possibility is the amount or type of RNA is important for RNA packing. The WT MS2 sample contains a relatively high percentage of RNA compared to the recombinant and MS2-Capsid samples (Fiers et al., 1976). Also, the native MS2 genomic RNA has been shown to form a variety of secondary structures that may play a role in RNA packing (Fiers et al., 1976). These structures are not present in the small, foreign RNA molecules contained in the MS2-HCV and MS2-l particles. However, it is not clear from these studies if one or all of these factors are responsible for the observations described here. Finally, our analysis of these MS2 samples was the result of a large-scale effort to gain insight into the physical characteristics of MS2 virus structure in situ. ARTICLE IN PRESS D.A. Kuzmanovic et al. / Radiation Physics and Chemistry 75 (2006) 359–368 Large stocks of each of these samples were generated and analyzed by both SANS and SAXS techniques. Due to the availability of the beamtime, the SANS experiments were performed almost immediately. However, the SAXS experiments were performed several months later. The WT MS2 samples show no evidence of polydispersity, independent of elapsed time from sample preparation to measurement. But the MS2-HCV, MS2-l and MS2-Capsid samples show a measurable and significant level of polydispersity compared to the WT MS2 sample. Since the SAXS measurements were recorded five times to verify that the scattered intensity curves did not vary with continued exposure to the X-rays, and since the samples were in motion during each measurement, it is unlikely that the polydispersity described here is due to exposure to X-rays. Rather, it is more likely that the aggregation or polydispersity described herein is due to a low level of sample degradation. This degradation is not sufficient to greatly affect the measurements of the structural properties of the virus protein shell or the RNA contained therein. But, it may be an important quality benchmark for these recombinant virus particles, which can be modified for use as quantitative diagnostic standard carriers, and for use in vaccine development and gene delivery systems (Heal et al., 2000; Legendre and Fastrez, 2005; Mastico et al., 1993; Pasloske et al., 1998; Stockley and Mastico, 2000; Walkerpeach et al., 1999). An elevated amount of polydispersity from these experiments suggests that recombinant MS2 particles and RNA-free capsids can degrade or become unstable over a period of several months and, as a result, may have a decreased concentration or potency. To our knowledge, these experimental results are the first to indicate that SAXS, in addition to providing structural information about the virus protein shell, can also be used as a reliable quantitative measure of viral RNA content in situ and can provide information about overall sample quantity and quality of intact virus samples in solution. Therefore, SAXS analysis may be used as a sensitive quantitative and quality assurance tool. Laboratory-based SAXS instruments are commercially available and are suitable for experiments of this type, making the application of these instruments feasible for quality assurance measurements of viral particles. Acknowledgments We acknowledge the support of the National Institute of Standards and Technology (NIST), US Department of Commerce, and the US Army Aberdeen Proving Ground in providing facilities used in this work. This material is based upon activities supported by the National Science Foundation under Agreement No. 367 DMR-9986442. DAK was supported by the NISTNational Research Council Research Associateship during her postdoctoral fellowship at the NIST Biotechnology Division. Use of the Advanced Photon Source was supported by the US Department of Energy, Basic Energy Sciences, Office of Science under contract no. W-31-109-ENG-38. 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