Subunits fold at position-dependent rates during Tsutomu Matsui, Gabriel C. Lander

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Subunits fold at position-dependent rates during
maturation of a eukaryotic RNA virus
Tsutomu Matsui, Gabriel C. Lander2, Reza Khayat, and John E. Johnson1
Department of Molecular Biology, The Scripps Research Institute, La Jolla, CA 92037
Effective antiviral agents are difficult to develop because of the
close relationship between the cell biology of the virus and host.
However, viral capsid maturation, the in vivo process where the
particle transitions from a noninfectious provirion to an infectious
virion, is an ideal process to interrupt because the provirion is usually fragile and the conversion to the virion often involves large
conformational changes and autocatalytic chemistry that can be
hampered by small molecules. The Nudaurelia capensis ω virus
(NωV) is one of the few eukaryotic viruses where this process can
be investigated in vitro with a variety of biophysical methods,
allowing fundamental chemical and structural principles of the
maturation to be established. It has a T ¼ 4 quasi-equivalent capsid
with a dramatic maturation pathway that includes a particle size
reduction of 100 Å and an autocatalytic cleavage. Here we use
cryo-EM and difference maps, computed at three time points
following maturation initiation, to show that regions of NωV subunit folding are maturation dependent and occur at rates determined by their quasi-equivalent position in the capsid, explaining
the unusual kinetics of the maturation cleavage. This study shows
that folding is rapid and peptide chain self-cleavage occurs early for
subunits adjacent to 3-fold and 5-fold icosahedral symmetry
elements and that folding is slower in regions where molecular
switches are required for the formation of the proper interfacial
contacts. The results connect viral maturation to the well-studied
assembly-dependent folding that occurs in the formation of cellular
complexes.
time-resolved ∣ single particle reconstruction ∣ virus maturation ∣
protein folding ∣ quasi-equivalence
C
hemistry associated with biological processes occurs over a
remarkable range of time scales. Some catalytic reactions
are diffusion limited with the chemical change occurring in the
nano/picosecond time regime. In contrast, reactions involved
in virus maturation are often slow, occurring over time periods
of minutes to hours. Although exceptionally slow, the sequence
of events and the cellular environment associated with this process are coordinated to achieve the required biological outcome.
The resulting maturation, often occurring as the particle leaves
the compromised cell where it was assembled, is the conversion
of a noninfectious, often fragile, particle into a robust infectious
virion. Infectivity is often conferred during this process by the
proteolysis of a particle-associated protein that allows entrydependent membrane activity that would be detrimental if it
occurred within the cell producing the nascent particle. Enveloped viruses activate fusion peptides during maturation that
facilitate association of the viral membrane and cellular membranes (1–3) whereas most nonenveloped viruses covalently liberate a lytic peptide that is required to translocate the viral
genome through a cellular membrane (4, 5).
The unusually slow kinetics of this process allows timeresolved analysis with methods such as electron cryomicroscopy
and image reconstruction (cryo-EM) not normally amenable for
time course studies. The Lepidopteran insect-infecting Nudaurelia
capensis ω virus (NωV), a nonenveloped T ¼ 4 virus (Fig. 1A), is an
exceptionally accessible system for the study of particle maturation. Virus-like particles (VLPs) of NωV exhibit large pH-depenwww.pnas.org/cgi/doi/10.1073/pnas.1004221107
dent conformational changes (LCC) when the procapsid, purified
at pH 7.6, (∼480 Å) is exposed to pH 5.0, resulting in ∼400 Å
particles (6) (Fig. S1A). In response to the LCC, an autoproteolysis
occurs in which each of 240 subunits is cleaved at Asn570-Phe571,
covalently liberating a putative lytic peptide that remains with the
particle until entry into a new host cell (7–9) (Fig. 1B). The 2.8-Å
crystal structure of the mature virion showed that the 240 subunits
occupied four structurally unique positions as predicted by quasiequivalence (10–12) (Fig. 1A). The A subunits form pentamers,
whereas B, C, and D subunits form quasi-hexamers. The cleavage
sites in the four subunits were similar, but not identical (11, 12)
(Fig. S2). Maturation cleavage permits residues 571–644 (γ peptide) to be covalently independent, however, the crystal structure
shows that these peptides remain associated with the particle and
are partially ordered with conformations dependent on the
quasi-equivalent position of the subunit of origin (Fig. S1B).
Comparable maturation-dependent peptides in nodaviruses have
been shown to interact with membranes and that cleavage is
essential for nodavirus entry and infectivity (13).
Previously we employed equilibrium small angle X-ray scattering (SAXS) experiments that showed homogeneous, intermediate-sized particles between pH 7.6 and 5.0 could be stabilized
by carefully controlling the pH (14). A titration curve for the
LCC was generated with these data that showed that the composite pKa of all titratable residues that contribute to the LCC of the
particle is 5.8. SAXS measurements also showed that the change
in particle dimension between pH 5.5 and 5 required the autocatalytic cleavage to achieve its final compact size. Indeed, the
ensemble size change conformed well to the slow kinetics of cleavage, with detectable alterations in dimension occurring over a
time period of many hours as larger fractions of the subunits
underwent autocatalysis. These observations indicated that structural changes to the particle occurred over long periods of time
and that such changes might be visualized with cryo-EM. The
unusual cleavage kinetics (Fig. 1B) were consistent with the
possibility that the four structurally unique subunits underwent
cleavage at significantly different rates, as half the subunits
cleaved in 30 min, yet it took days to achieve cleavage of all
the subunits (7). The hypothesis was supported by the kinetics
observed for the Glu73Gln mutation generated during a broad
mutational study of the maturation. The kinetics for the first
30 min was closely similar for the wild-type and mutant particles
suggesting that the mutation had little effect on subunits undergoing rapid cleavage (Fig. 1B). However after 4 h, ∼80% of the
wild-type particles were cleaved, whereas only 50% of the
mutant particles had cleaved, indicating that the slow cleaving
subunits were rendered almost inactive by the mutation (7).
Author contributions: T.M. and J.J. designed research; T.M. and G.C.L. performed research;
T.M. and R.K. analyzed data; and T.M. and J.J. wrote the paper.
The authors declare no conflict of interest.
This article is a PNAS Direct Submission.
1
To whom correspondence should be addressed. E-mail: jackj@scripps.edu.
2
Present address: Department of Molecular and Cell Biology, University of California,
Berkeley, CA 94720
This article contains supporting information online at www.pnas.org/lookup/suppl/
doi:10.1073/pnas.1004221107/-/DCSupplemental.
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BIOCHEMISTRY
Edited by George Bruening, University of California, Davis, CA, and approved June 29, 2010 (received for review March 31, 2010)
experiments show that the particle sizes for the fully mature capsid and the mutant are identical at pH 5.0 regardless of the extent
of cleavage (14), so the experiments were performed with particles incubated at pH 5.0. We then used the same approach to
investigate the time-resolved cleavage and annealing of the
wild-type particles, again where all experiments were performed
at pH 5.0 to insure identical overall particle dimensions regardless of the state of cleavage. Thus by comparing the difference
maps with the X-ray model, we could determine which sites of
cleavage were closely similar to the fully mature particle and
which had significant differences at that location.
Results
Cryo-EM and Single Particle Reconstruction. The mutant and time-
resolved cryo-EM reconstructions were all performed with
particles that were incubated for at least 3 min at pH 5.0. After
2 min of incubation at this pH, the particle size is the same as
the fully mature particle and is not affected by the extent of cleavage (14). This result was confirmed by comparing the radially
averaged density of the mutant (Supporting Information), the
time-resolved intermediates and the mature capsid, justifying
the calculation of difference cryo-EM density maps among these
particles. We normalized the three-dimensional density with a single scale factor to eliminate systematic differences, and then computed ρ(capsid)–ρ(mutant) difference maps. The positive density
that appears in these maps corresponds to regions of significant
structural variation between the mutant and the different time
points relative to the fully mature capsid. Although molecular
detail cannot be resolved at ∼10-Å resolution, the differences
can be referred to the X-ray model and assigned to specific regions
and corresponding residues.
Fig. 1. NωV subunits arrangement and kinetics of autocatalytic cleavage. (A)
A color-coded diagram of a T ¼ 4 surface lattice with the four quasi-equivalent subunits shown as blue (A subunit), red (B subunit), green (C subunit), and
yellow (D subunit). Icosahedral and quasi-symmetry elements are shown as
open and filled symbols, respectively. The insets show how interactions
between the same subunit surfaces are differentiated through the ordering
or disordering of residues 627–639 (“molecular switch helices”) of the γ
peptides. These residues (contributed by the C and D subunits) are ordered
at the flat contact. Because of the hinge motion of the bent contact, there
is no space for the corresponding region of the A and B subunits and they
are invisible in the crystal structure. (B) The kinetics of cleavage at pH 5.0.
The fraction of subunits cleaved was previously determined by SDS gel analysis
(7). Cleavage of the Glu73Gln mutant stopped at the ∼50% point. The particles
for cryo-EM analysis were frozen at indicated time point (T1, T2, and T3) after
lowering pH to 5.0.
Here we employ cryo-EM to examine the Glu73Gln mutant at
2 h after initiating the pH change and associated maturation. The
analysis was facilitated through the use of difference cryo-EM
density maps ρ(fully mature)–ρ(mutant) and the X-ray model
of the virus. Meaningful difference density maps can only be computed if the dimensions of the two particles are the same. SAXS
Glu73Gln Mutant. A 7.9-Å cryo-EM reconstruction of the
Glu73Gln mutant following 2 h incubation at pH 5.0 was computed as was a 9.8-Å resolution density map of the fully mature
wild-type capsid (Table 1). Following density normalization of the
two maps, a difference density map was computed in which density for the mutant was subtracted from the fully mature particle
(Fig. 2A). The locations of the four cleavage sites were determined by comparing the atomic coordinates of the X-ray structure (X-ray model) with the fully mature capsid cryo-EM density.
Positive difference density was observed at the B and C cleavage
sites, although almost no difference density was observed at the
A and D sites. Thus the mutant was unable to completely form
active sites in the B and C subunits, explaining the 50% cleavage
phenotype. Fig. 2 B and C shows that there is a strong difference
density inside the particle corresponding to the location of the
molecular switch formed by the C-terminal regions of the γ polypeptide contributed by the C and D subunits (also see Figs. S1B
and S2). Thus, this part of the γ polypeptide cannot be properly
“seated” in the mutant after 2 h.
In the wild-type capsid, Glu73 forms a salt link (salt bridge)
with Arg560 in an adjacent subunit at the four quasi-equivalent
locations (Fig. 2B; details in Fig. S3). The region of the salt link in
Table 1. Summary of cryo-EM data collection and image analysis
Lowering pH and freezing
Incubation time at pH 5
Estimation of subunits cleaved, %
Protein concentration, mg∕mL
Volume of protein on a grid, mL
Blotting time, s
Image analysis
Total images
Total particles
0.5 FSC* criteria, Å
T1
T2
T3
Capsid
Glu73Gln
3 min
∼15
10
2
4
30 min
∼50
10
3
7
4h
∼80
10
3
5
3 days
100
20
3
4
2h
∼50
10
2
3
102
6,087
9.3
497
17,174
8.6
295
23,392
8.3
228
24,514
9.8
1324
22,832
7.9
*Fourier shell correlation.
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Matsui et al.
the C and D subunits (the flat contact) affect interactions with the
switch helices and its proper positioning in the mature particle,
whereas in the A and B subunits (bent contact) the switch helix is
not visible and the mutation has no affect on the quaternary
structure.
Time-Resolved Cryo-EM on WT NωV. Next, we examined cryo-EM
structures of the WT particle at four time points after initiating
the LCC. These correspond to ∼3 min (T1, ∼15% cleaved),
∼30 min (T2, ∼50% cleaved), ∼4 h (T3, ∼80% cleaved; well into
the complex stage), and 3 days (capsid, 100% cleaved and fully
mature). Difference maps were computed by subtracting the
density at each of the time points from the fully mature density
(Fig. 3A, Figs. S4 and S5, and Movie S1).
The T1 difference density map clearly showed that the A and
D active sites were mostly formed, whereas the B and C active
sites displayed large differences from the capsid (even larger than
observed in the difference map of the mutant), indicating that
cleavage in these subunits was not likely at this time point. We
conclude that the 15% cleavage is almost entirely in the A
and D subunits.
The striking change in the difference map at the T2 time point
is in the B subunit where much of the difference density has
disappeared, suggesting that cleavage in this subunit may now
contribute to the 50% cleavage observed biochemically, although
the vast majority must come from A and D.
At T3, the only significant density at the cleavage sites is found
in the C subunit. Thus it is likely that most of the 20% of the
uncleaved subunits at this time point correspond to C. At T3,
the C subunit has approached its fully mature position. Indeed,
the nonhelical portion of its γ peptide, visible as difference
density at the previous time points, is now in the fully mature
conformation (Fig. S4). Fig. 3B provides a hypothetical summary
of the contributions to the kinetic data from the four quasiequivalent subunits, based on the structural results.
Comparing the Molecular Switch in the Time Course with the
Glu73Gln. In addition to the differences observed at the cleavage
Fig. 2. Capsid-Glu73Gln difference map. (A) Difference density at each of
four quasi-equivalent cleavage sites (residue Asn570 is shown as a space-filling
model). The locations of the cleavage sites were determined from the capsid
X-ray structure (details in Fig. S2). Significant positive difference density was
observed at the B and C active sites, whereas almost no difference density was
observed at the comparable A and D positions. The nature of these differences
strongly support the hypothesis that cleavage has occurred in A and D where
the structure is equivalent to the fully mature particle, and has occurred to
only a limited degree in B and C where the differences from the mature
particle are great. (B) The X-ray model viewed from inside the particle looking
out at the “flat” interface. The switch helices (residues 627–639) of the C and D
subunits are colored black. The regions where the mutation was made are
indicated by arrows and they correspond to salt links (black stick model)
adjacent to the switch helices in the wild-type sequence that were broken
by the mutation (also see Fig. S3 for more detail). (C) The same view as shown
in B with difference density (mature–mutant) shown in pink and density for
the mutant shown in gray. Clearly the switch helix in the mutant is not
positioned equivalently as in the fully mature particle since significant positive
difference density is observed in the γ region.
Matsui et al.
Discussion
Fig. 4B is a schematic summary of the structural transitions
determined by the time-resolved cryo-EM studies and informed
by the Glu73Gln mutation. The A subunits rapidly form the cleavage site following the LCC because there are no polypeptide
switches that mediate their interactions, i.e., the main interfaces
associated with A are all icosahedral 5-fold contacts. In a similar
manner, the D subunits are adjacent to icosahedral 3-fold axes
and this DDD trimer interface forms rapidly as judged by the
difference map near this axis (Fig. 4A). Note that the molecular
switches do not participate in the icosahedral trimer interface,
thus this rapid trimerization would be independent of the molecular switches. Formation of the B and C active sites depends on
the molecular switches at the flat quasi-2-fold contact. The switch
helix is positioned properly at the 3-min time point where ∼15%
of the subunits have cleaved (Fig. 1B). We posit that a small
number of cleavages (<15%) must take place for the switch
helices to be fixed in the mature position, as the structure of a
noncleaving mutant particle shows that these helices are not in
their final location after days of incubation at pH 5.0 (15). This
result is consistent with previous SAXS studies that demonstrate
that the LCC was irreversible after ∼15% cleavages (16). This
proposed intermediate is shown as panel 1 in Fig. 4B. Panel 2
depicts the first time point where the switch helices are in position
and ∼15% of the subunits have cleaved. The nonhelical portion of
the switch, residues 571–626, is ordered only in the C subunit and
is the slowest to achieve their final conformation. It is not clear if
this retardation is caused by the lack of cleavage in the C subunit
or if it causes the lack of cleavage in the C subunit, however, given
the kinetic data, we favor the latter. The outer region of the difference maps in the vicinity of the Ig domain interactions near the
icosahedral and quasi-3-fold axes display strikingly different rates
of formation. Consistent with the cleavage kinetics, the icosahedral 3-fold is in its mature state at the 3-min time point, whereas
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site in the Glu73Gln mutant, there are large additional differences observed at the quasi-3-fold axes and where Ig domains
from the D and C subunits form the flat quasi-2-fold contact
(Fig. 4A). As this difference density was more significant than
that observed at the 3-min time point of the wild type, we
conclude that the mutation directly affects the quaternary structure as well as the cleavage, an observation consistent with the
difference density for the switch helix in Fig. 2C. Note that
difference density for the switch is not observed at any time point
in the wild-type maturation and therefore it is fully positioned at
the 3-min time point.
Fig. 3. Time-resolved analysis of NωV maturation. (A) Difference density maps near the cleavage sites of the four quasi-equivalent subunits corresponding to
the time points at 3 min (T1), 30 min (T2), and 4 h (T3) after lowering the pH from 7.6 to 5.0. Difference density maps correspond to fully mature capsid-T1,
capsid-T2, and capsid-T3. Maps are contoured at 0.9σ. More details are provided in Fig. S4. (B) A hypothetical graphical representation of NωV autoproteolytic
kinetics consistent with the rate of cleavage-site formation in the four different subunits shown in A. The cleavage-sites of the A and D subunits form rapidly
and are almost complete after the LCC, thus activating cleavage at these sites and accounting for 50% of the autoproteolysis seen at T2. The B subunit folding is
slower than that of the A and D, accounting for the majority of the cleavage between time points T2 and T3. The C subunit, which requires hours to complete
the maturation process, accounts for most of the cleavage observed after the T3 time point.
Fig. 4. NωV maturation pathway. (A) A comparison of difference density maps showing the exterior of the particle of the capsid-Glu73Gln (50% cleaved)
mutant density and the capsid-T1 time point density of the wild-type particles. The crystal structure of Ig-like domains in an icosahedral triangle viewed from
the exterior, directly down an icosahedral 3-fold axis, as in Fig. 1A, is shown with the difference density. Unexpectedly, density of greater significance (difference maps are contoured at 0.9σ) is observed in capsid-Glu73Gln, where ∼50% of the subunits were cleaved, than in difference density for the capsid-T1
particles (∼15% cleaved). The dissimilarity between the mutant and time-resolved WT difference density shown is due to the failure of the switch helix to be
properly positioned at the quasi-2-fold axes (Fig. 2C) in the mutant, which in turn prevents Ig domains at the quasi-3-fold axes from achieving their final
positions. In contrast, at the earliest time point in WT maturation, the helix is properly positioned at the quasi-2-fold axes and the Ig domains at the quasi-3-fold axes are closer to their final form than in the mutant. However, the quasi-3-fold interactions continue to change with time in WT, with the difference
density being reduced at later time points (Table S1). (B) A schematic representation of the NωV maturation pathway. The structure of the procapsid at pH 7.6
(Left) is dominated by trimeric interactions on the inside of the particle that relate the subunits shown within the triangles. Dimeric interactions between the
pairs of subunits shown dominate the outer part of the procapsid particle (6). (1) Lowering the pH from 7.6 to 5.0 results in a LCC that occurs in ∼2 min (16).
Subunits adjacent to the 5-fold symmetry axes (A subunits, blue) and the 3-fold symmetry axes (D subunits, yellow) assume a final conformation in this time
period with autocatalytic cleavage detectable within 2–3 min after the LCC. (2) The proper positioning of the A and D subunits facilitate the placement of the
helical switch polypeptides (residues 627–639 of the C and D subunits) along the line between icosahedral 2-fold (quasi-6-fold) axes. (3–5) Proper positioning of
the switch helices, which takes ∼3 min following the LCC, is required for subsequent folding and autocatalysis of the B and C subunits and their movement
toward the quasi-3-fold axes (shown by the arrows in 3 and 5). As shown in 3, the folded state and position of the B subunits are almost complete within 30 min
after the helical rearrangements, whereas the same changes in the C subunits take place in the time frame of hours (shown in 5). The structural changes near
the quasi-3-fold axes result from a hierarchy of relatively slow tertiary and quaternary structural changes in the B and C subunits as described. The proper
regulation of subunit contacts induced by the switch helices is essential for the formation of the T ¼ 4 icosahedral architecture.
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Matsui et al.
the formation of the quasi-3-fold contacts is still maturing 4 h
after the LCC. These events are likely coupled with the slow cleavage in the C subunit because the quasi-3-fold contacts are being
pushed together by the formation of the loop composed of residues 571–626 that is also critical for the quasi-6-fold interaction.
As in the case of complexes formed within the cell, NωV
maturation clearly involves an ensemble of intermediates with
association-dependent folding and chemistry. The accessibility
of this system to analysis in vitro by a variety of physical methods
has allowed a detailed description of the events leading to infection and insights into the structural foundation of quasi-equivalence. The hierarchy of maturation events is remarkable in that
only 10–15% of the subunits need to cleave (which occurs within
3 min) to make it irreversible (16), thus encoded in the particle
organization is the mechanism to rapidly stabilize the virus,
allowing further events of maturation, which require hours, to
occur without compromising the particle integrity.
were centered and stacked in 200 × 200 pixels boxes (2.768 Å∕pixel) using the
program SELEXON and the EMAN software package (19, 20) (Table 1).
Single particle reconstruction refinements were performed using the
program “Refine” in EMAN, using the low-pass filtered map of the capsid
crystal structure (11) as the initial model. Icosahedral symmetry was applied
during the reconstruction process. All the programs for data processing
described were integrated and controlled by the Appion pipeline (21).
Resolution of the final density was determined according to 0.5 Fourier shell
correlation criteria.
Materials and Methods
Tests for Systematic Differences in the 3D Reconstructions. Tests were performed to verify that the difference maps between the mutant and mature
particle or between different time points and the mature particle reflected
actual differences in the density and were not due to systematic differences
in the datasets. To estimate experimental systematic errors in the 3D reconstruction of the fully mature capsid, we split the boxed particles obtained
in the 228 micrographs into equal groups, one from the first half of the
micrographs and the other from the second half. Single particle density
reconstructions were separately performed with the stacks from each set of
micrographs. A difference map between these two reconstructions was
then computed with the same procedure described in the previous section.
There was no significant density observed at σ > 0.4, indicating that systematic
differences were less than 0.4σ, confirming the significance of the difference
density obtained between particles in different states.
Graphical representations were produced by the program PyMOL and
the University of California, San Francisco (UCSF) Chimera (23). Movie S1
was produced by the UCSF Chimera and PowerDirector 8 (CyberLink).
Electron Microscopy Grid Preparation. Grids were plasma cleaned with the
Fischione model 1020 plasma cleaner (Fischione Instruments). Three microliters of the reaction solution were placed on the grid and flash-frozen at the
indicated time points in Fig. 1B using the Vitrobot specimen preparation
unit (FEI). The specimens were then stored in liquid nitrogen. Details of
the cryo-EM data collection are summarized in Table 1.
Data Collection and Single Particle Reconstructions. The datasets were collected at −1.0 to −3.0 μm under focus using an FEI Tecnai F20 electron microscope operated at 120 keV at liquid-nitrogen temperature. The instrument
was controlled by the Leginon automated electron microscopy package
(17) and all measurements were performed under nearly identical conditions.
The contrast transfer function (CTF) for each micrograph was estimated and
phase corrected using the Automated CTF Estimation package (18). Particles
ACKNOWLEDGMENTS. We especially thank J. Quispe, C. Potter, and
B. Carragher for help with data collection and Jeffrey A. Speir at The Scripps
Research Institute (TSRI) and Prof. Peter C. Doerschuk at Cornell University
for helpful discussions. Microscopic imaging and reconstruction was conducted at the National Resource for Automated Molecular Microscopy at
TSRI, which is supported by the National Institutes of Health (NIH)
through the National Center for Research Resources’ P41 program
(RR17573). This work was also supported by the NIH Grant R01 GM054076
to J.E.J.
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BIOCHEMISTRY
Sample Preparation. Expression and purification of the WT NωV and the
Glu73Gln mutant were described previously (7). Briefly, the VLPs for the
time-resolved analysis (the WT VLPs and the mutant) were purified at pH
7.6 (10 mM Tris · HCl and 250 mM NaCl) and concentrated to
20 ∼ 40 mg∕mL. Note that the LCC is not observed at this pH and that the
particles are stable as procapsids under these conditions for weeks. The
WT fully mature capsids were purified at pH 5.0. The LCC change in the
procapsids and mutant particles was initiated by mixing particles at pH 7.6
with the low pH buffer containing 100 mM sodium acetate (pH 4.7) and
250 mM NaCl, resulting in a final pH of 5.0. The final pH value of all reactions
was confirmed to be 5 by directly measuring mock solutions with a pH meter.
Difference Map Calculation. The resulting density maps were normalized and
both inner (116 Å) and outer (230 Å) radial masks were applied in order to
remove noise and the density corresponding to RNA. The maps were scaled
using a single scaling factor and the radial density plots were calculated. All
the plots had the same density at a radius of 165 Å, and between 200 and
220 Å, indicating that they were correctly scaled (see Fig. S6 for more details).
Difference maps were computed using the SPIDER software package (22) and
a low-pass filter at 10-Å resolution was applied.
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